Maths-
General
Easy
Question
![](data:image/png;base64,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)
The scatterplot shows the percent of flights with delayed departures and the percent of flights with delayed arrivals, by departing airport, for 10 US airports in a certain one-year period. A line of best fit is also shown. For how many of the 10 airports was the percent of flights with delayed arrivals less than predicted by the line of best fit?
The correct answer is: 6
The no. of airports for which the percent of flights with delayed arrivals less than predicted by line of best fit is the no. of data points below line of best fit .
There are 6 airports which satisfy the condition .
Related Questions to study
Maths-
A survey asked a class of 30 students how many siblings they have. The number of students who have one sibling is 3 times the number of students, n, who have two or more siblings. If 6 students have no siblings, which of the following equations represents this situation?
A survey asked a class of 30 students how many siblings they have. The number of students who have one sibling is 3 times the number of students, n, who have two or more siblings. If 6 students have no siblings, which of the following equations represents this situation?
Maths-General
Maths-
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)
In the figure above, the circle has center O. What is the area of the shaded region?
![](data:image/png;base64,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)
In the figure above, the circle has center O. What is the area of the shaded region?
Maths-General
Maths-
Lines q and r in the xy-plane are perpendicular and intersect at the origin. If line r passes through (1, k), what is the equation of line q ?
Lines q and r in the xy-plane are perpendicular and intersect at the origin. If line r passes through (1, k), what is the equation of line q ?
Maths-General
Maths-
![3 x squared plus b x plus 5 equals 0](data:image/png;base64,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)
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?
![3 x squared plus b x plus 5 equals 0](data:image/png;base64,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)
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?
Maths-General
Maths-
An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, hours after the trip began?
An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, hours after the trip began?
Maths-General
Maths-
![](data:image/png;base64,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)
What is the median of the data set summarized in the frequency table?
![](data:image/png;base64,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)
What is the median of the data set summarized in the frequency table?
Maths-General
Maths-
Which of the following represents the positive number r increased by
?
Which of the following represents the positive number r increased by
?
Maths-General
Maths-
![fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction](data:image/png;base64,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)
Which of the following is equivalent to the expression above for ![x not equal to square root of 2 ?](data:image/png;base64,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)
![fraction numerator x squared minus 2 over denominator x minus square root of 2 end fraction](data:image/png;base64,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)
Which of the following is equivalent to the expression above for ![x not equal to square root of 2 ?](data:image/png;base64,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)
Maths-General
Maths-
The graph of y =r(x) is shown in the xy-plane
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMcAAACbCAYAAADWSY9KAAAgAElEQVR4nO2d129b992Hn8MpiSIpakvU3tSyLFvD67XiRI6d1G1ykaIFggBt0V70ruhf0gJFb9KiA0XRNHHqDDupnXjbsmxr2JZkLWoPiqQ2pzjeC4OsZUlekk3y6DyAYZs8POfLw9/n/NZ3CMFgMIiEhMQGZJE2QEIiWpHEISGxBZI4JCS2QBFpA7bLysoKVqsVuVxOVlYWKpUKp9PJ0tISaWlpKBQx/xUlIkRM9xxra2vcvHmT3//+9/z5z3/GarUC0NfXx+nTp1lZWYmwhRKxTEyLQxAEMjMzSU9PZ3h4mOnpaQBGRkawWq0EAoEIWygRy8T0mEOhUFBbW0sgEGB4eJi5uTm8Xi8Oh4PGxkY0Gk2kTZSIYWK65wghk8nwer3MzMwwNTVFYmIie/fuJS4uLtKmScQwohBHYmIiGRkZTExMcP/+fQoLC0lKSoq0WRIxjijEoVAoUCqVLC4u4nK5yM/PJz4+PtJmScQ4ohCH1+vFbrcjl8upqanBYDBE2iQJERDz4ggEAthsNuLj4ykrK6O4uBiZLOa/lkQUENOrVYFAgKtXr9Le3k5zczNNTU2o1epImyUhEmJaHIuLiwwODuJ2uzly5Ag5OTmRNklCRAix6LIeDAYZHh5maGiIYDBIXl4eJpNJGk5J7Cgx2XP4/X6mp6dxOp0cPnyY9PT0SJskIUJisueARytUgUAAtVqNIAjAox7F7/dLzoYSO0LMjkNUKhVxcXFhYQAsLCzQ3t6O1+uNoGUSYiFmxbEZ/f39XL58GafTGWlTJESAaMQRCARoa2vjxo0bjI+PR9ocCREgGnHYbDY6OjoYHx+ns7Mz0uZIiADRiGNkZIQHDx5gs9lob2+XAp0kto0oxLG6usq9e/eYnZ3F5XJhNpux2WyRNksixhGFOBwOR3ieoVKp8Hq9LCwsRNgqiVhHFOIIoVQqkclkBAIBFhYWpDBZiW0hit2ylJQU3n//fbRaLaOjo7z55ptUVlZK7iQS20IU4lAoFJSXlzM/P49CoeD48eNotdpImyUR44jm0SqTyXA6nXg8HqnHkNgRRNOKlEolgiCE/0hIbBfRiCMUR65UKiNtioRIEI044JEru8/ni7QZEiJBVOJwu924XC5i1AtfIsoQlTgEQSAYDErikNgRRCWOhISEDTEeEhIviyQOCYktEJU44uLiUKlUkTZDQiSIYoc8RGgpd6d6DofDgd1uZ3FxEafTyerqKgqFgoyMDFJTU0lJSZE2HEWMqMSxExNxn8/H1NQUg4OD3L9/n76+PiYnJ3G5XCgUCjQaDRqNhtzcXJqbm6mrq8NoNEr7KyJEVOIIBAIv7YkbDAZZWVnh+vXrfP311wwNDZGUlERaWhpVVVXodDpSUlJwuVx0d3dz5coV2traKC8vp6WlhaNHj5KRkYFcLt/hbyURKUQlDr/f/9LiMJvNnDlzhrt37xIMBjl69CjvvvsuFRUVyOVyBEEI1wHp7e3l9u3bDA0NYbFYOHv2LPfu3eO9996jsbFRWhAQCaISx8sMq7xeLxMTE1y4cIGLFy+SkJDAhx9+yPHjxzfNu6tSqairq6O6uprV1VV6enr46quv6OrqIjU1lYKCAtLS0qS5iAgQlThkMtkLNcpgMMjAwABfffUVk5OTHDhwgNraWvbu3fvMhNQKhYKkpCRqa2uJj4+nurqayclJPv74Y5qbmzl06JBUWSrGEZU45HL5C4ljZmaGBw8eMDIyQlpaGqdOnaKysvKF5g1arZb6+nrKy8v55ptv+Pzzz3G5XCQkJEil12IcUYlDJpM993i/p6eHL7/8EpfLxfHjx9m7dy/5+fkvPaHWaDS8+eabJCUl0dbWxl//+lfm5uZ4++23JYHEKKIaGD9vLIfVaqWtrY22tjbkcjktLS0UFRVte6UpKSmJlpYWysrK6O/v58aNG9jt9m2dUyJyiEocPp/vmatV09PT/Pvf/6arq4va2lpaW1tJSUnZMRvkcjnV1dWcOHGC+Ph4Ll++zOzs7I6dX+L1ISpxeL3eZ8ZzdHZ2cuHCBXw+H++99x5NTU07bkdRURG/+MUvqKur486dO1y/fh23273j15F4tYhOHE/rOQYHB/nyyy9RqVS89dZb1NbWvpIlV7VaTWpqKgcPHkQQBM6dO8fg4OCOX0fi1SIqcTxth9ztdvPtt9/S29tLU1MTb7/99iuv45GamorJZGJ4eJizZ88yPz//Sq8nsbOIShxPczq8desWHR0dNDQ00NraSmJi4iu3RyaTceDAAfbs2cO1a9f44osvpPIIMYSoxKFSqcLRgI9jt9v57LPPcDqdfPTRR1RXV782m6qqqnj//ffxeDycOXOGrq6u13Ztie0hKnGo1eoNy7EOh4Ovv/6awcFB9u/fT1lZ2Wu3q7q6mjfeeIOVlRXOnDnDxMTEa7dB4sURlTg22yG3WCx8+umnxMfHc/LkSeLj41+7XcnJyfz85z/HZDLx/fffc+PGjddug8SLIypxPDkhd7lcnD9/Hr/fT2tra8TqlAuCQEZGBi0tLcTFxXH16lXGxsYiYovE8yMqcTy5zzE4OMg333xDfX09H3zwAVqtNqKZSY4dO8ahQ4fo7e1lYGAgYnbEGh6PB7/f/9qvKypxhG6iIAg4HA4uXLiA3W7n0KFDpKamvpDv1avAYDDwzjvvkJyczO3bt6XqU8/B3NwcY2NjuFyuZx7r9XpxOBw79gAUlTh8Pl+455iamuLixYvk5ORgMpkibNn/OHjwIM3NzbS3t9PR0RFpc6KeUEDZZp4PT4rAbDZz+fJlpqend+TaohKHSqXC6XQyNzfHrVu3EASBt956a0d9p7aLQqGgsbERuVzOt99+KzkmPoXp6WlGR0fRarXo9foN7z85ChAEAavVys2bN+nv79/29UUlDo1Gw+rqKoODg7S3t1NfX88777zzzMCl1019fT1VVVVcu3ZNWrnaAo/Hw6efforFYiE7O/u5hsM5OTnk5uZy//79HbmvohJHXFwcNpuNtrY2XC4Xhw8fJjMzM+pShCYmJnLgwAEUCgUdHR14PJ5Im7SBYDC4zi6fz4fFYtnxUnKPn+/x32h6epqHDx+SnZ2NwWB45jn8fj8ajYa6ujpSUlKYnJxkbW1tW7aJShxyuRyr1cqVK1coKChg7969wP92zqOJhoYGmpubGRgYoK+vL9LmrMPhcHDlyhX+8Ic/hN3tBwcH+fvf/74j7veBQAC73c6NGzf429/+xvz8PN999x2/+93vWFxcBKC/v5+0tDQaGxvXpT2anJzkk08+4c6dOwA4nU7+9a9/8cc//pG5uTmSk5PZt28ffr+fycnJbdkpqkhAv9/PysoKTqeTmpqaTcep0UJqaiotLS18/PHH3Lp1iz179kSNgFdXV+no6OCzzz6jvr6ezMxMJiYm6Ovrw+FwrDt2cnKSgYEBJicnw++FXHhSUlIwmUyUlZVtGNrOzs5y48YNrly5Qnl5OcPDw8zMzLC2tkYwGGRqaoqMjAwyMjLWfc5isXD79m1u3bqF0+nEYDBgt9vXeUcYDAY8Hg89PT0UFha+9H0QVc8xPT2N3++noKCAPXv2vHKv2+1SX1+P0Wjk2rVrEQuI2myYlJyczP79+9FqtUxMTODz+fD7/aSkpKx7igcCAVwuF0tLS9jtdubm5pidnWVmZoaZmRlsNhtOpxOv17vu/DKZjOzsbHJycnA6nVitVo4dO8Zvf/tb0tLS8Pl82Gw2tFrtujgYv99PcnIyb7/9Ng6Hg7Nnz7K6usqPfvQjfvnLX4YXXhQKBYuLi3R3d29rGBjdrecFWF5epq+vD5VKRX19/YYnTjSSmppKTU0N//znP7lz5w6nTp16rdcPBoP4/f4NLjdKpZLy8nJycnJYXV3F6XQiCAIlJSVoNJrwcTKZjNLSUkpLS1/42jqdDqVSiU6nw2AwUFxcvK7nXF1dDdv4+PVCaY/i4uLwer0YjcYNng9KpZJgMIjNZiMQCLx0zI5oxOFwOOju7kar1XLkyJGI+FC9DM3NzXzzzTecP3+egwcPvtZlZ0EQtkxjqtVqyc/PJxgMMjw8HA7/fdLV3+12Y7PZmJmZYX5+HpfLFT5vQkICSUlJ4eHR4400GAwyPT1NQUEB5eXlG4aUbrebpaUlEhIS1tmbmJjI1NQUq6urCIJAIBDY8FmVSoXBYCAhIWFbQ1XRiGN+fp7x8XGys7MpLy+PtDnPJBgMIggCpaWlVFRUcPXqVTo7O3nrrbdey/VXV1cZHh7G4/FQUVGBTqdb975cLiclJQW73c7MzAyZmZkUFRVteOgsLS1x8+ZN7ty5w+joaNhLQS6XU1RUxBtvvEFWVtaGp/fq6iozMzMUFhZuWI0SBAGtVhuenD+Oz+fD5XKRmZmJ1WplYmKCgoKCdcd4PB50Oh3l5eXbSpohCnG43W4GBgYQBIG0tLSYSIUTeqIplUr279/PlStXOH/+PI2NjRsa6k7hdDqx2WxYLBYsFgtzc3MoFApycnI2XFMmkxEMBunt7eXo0aOUlpZuWts9IyODEydOsH//flZWVvD7/eGhkE6nIzMzc11vE3ooWCwWlpaWaGxs3DA3lMvllJWV0dXVxerqKvHx8UxOTobnEJmZmbS2tnLmzBlOnz6NTqejtrY2fE9HR0dRqVQcOnRoW/dLFOKYmpri3r17JCYmkpycHHPJnPfs2UNhYSE3btygra2N48eP7+j5A4EAIyMjnD9/nrGxMdLS0ti/fz+tra1bbpCGhi0JCQlkZ2dvKowQWq32qe8/TjAYxOVy4ff7yc3NpaSkZNOd7oqKCkZGRrBareh0Ou7evcuf/vQnMjMz+fWvf83Ro0cZHBzkwoULDA0NUVZWRnx8PIuLiwwPD6PT6bY974x5cYSebsPDw6Smpu5ofY7XhdFopKmpia6uLq5fv05zc/OO9R5er5f+/n56e3sJBoM0NTVx+PBhUlNTn/qZ0PztZz/7GXl5eTtiCzzqkRISEiguLuYnP/kJmZmZmx6Xm5tLQ0ND2O7y8nJ+85vfkJqaGh42nzhxgpqamvBSscVi4eHDh+HecLvEvDg8Hg+9vb0sLy+Ho/yiaTf8eVAoFOzbtw+DwUBnZycTExNUVVXtyLmHhobo7u4mJSWFkydPPlN0Ho+HiYkJJiYmyMvLo7m5+ZUsiavV6g1zhcdJSUmhubmZzz//nPn5eQ4cOEBFRcW6Y3JycsIi8Pv9TE1NMTExQVZWFiUlJfh8vm3ZHvPimJqaYmpqipycHIxGI3a7PebEAZCfn8+ePXvo7OxkfHx8R8Thdrsxm80YjUYOHDjwzLmYz+fj8uXLjIyMYDKZIr5XlJiYyLFjx4iLi3umHaF5il6vR6vVYjAYtm17TG8COhwObt26hc1mo6amhuzs7HUTwlgiPT2dw4cPEx8fv2M5roLBIFarFblc/lyLFE6nk4cPHzI1NUVpaSl6vX7HfaleFKPR+NzL24mJiRQXF5Oenr4jlbZiuuewWCxcvHiRtbU1Ghsb8Xg8m2YfiRUOHjxIW1sbd+7cYWRkZFuuDwDx8fEkJiZisVhYXFwkISHhqQVFNRoNx44dIxAIkJaWBrCr64zE9DefnZ2lu7ub5ORkysvLiY+PRxCEZ6YEjVaysrLYv38/ZrOZu3fv7khoaFpaGqOjo/z3v/+lt7f3qWlJ5XI5VVVV1NTURL3rzesgpsXR398fLlEW2g0NBAIxKw4Ak8mEwWDg2rVrYReK7ZCfn4/BYGBycpKLFy9y4cKFp7rIP2+m+t1AzIpjcXGRe/fuUVhYSEtLC0BYGLH84+bn52MymXj48CGjo6PbPl9BQQE//elP+fGPf4zH4+H69etYrdYdsFT8xKw4Hjx4wNjYGEeOHCE7Oxv4nyNdLItDr9fT0NCA2+2mvb192+cTBAGNRkNOTg5vvvkmpaWl6/yVJLYmJsXh8/loa2vD7XbT0NAQfj0U8RdrO+RPsnfvXjIyMujq6trR0gXLy8tMTU1JWU+ek5gUx+TkJL29vWRnZ6/bDxAEAZVKFfPiyM7Oprq6munpacbHx7d9Pq/XS19fH5cuXWJ5eXnb4aO7hZgUh9lsxmq1UldXt26IEAwGUavVMT2sAkhISGDfvn34fD7u3LnzXDmbtsJisXD58mUuXbpESUkJv/rVr8jPz4/4/kUsEHPi8Hq99PT0AFBbW7uul/B6vTHpW7UZ+fn5aDQabt68uanr9rNYW1uju7ubL774gu+//x6LxYLJZKK0tFRapn1OYu4u2e12enp6SE1NpbKyct17a2trKBQKUYgjPT0do9FIR0cHMzMzZGVlPfMzXq8XhUKBTCZjenqaL7/8Eo/HQ2trKyaTKexsKC3XPh8xJw6LxcLMzAz79u3b1K1ALD96cnIyxcXFYTfz+vr6TY9bW1tjdnYWs9mM2WwOBymFkg8UFhayf//+VxYjImZiThw9PT34fD6qqqo2CEGpVIrG3SG0W20wGBgaGtoyFtpsNnP69GkuXbrEzMwMBQUFtLa28n//93+0trai1WpjfoEiUsSUOKxWK7dv3yYxMXHT/LdKpVJUDaGsrIyamhoGBwdZWlpaF04aCATo6+vjk08+4T//+Q9DQ0P4fD6MRiOVlZXrIuMkXo6YEkdfXx/d3d3s27dv01iA0HxDLI0iKyuLI0eO8Je//IW7d++uiy/v7e3lH//4B/39/ZSUlNDU1ER6ejqHDh2isbFRNPcgksSUOHp6elhaWqK6unrTXd5gMEggEIhZr9zNqK6uRqlU8t13362LL9fr9Rw+fJjW1laysrLQ6/VoNJqoTmQXa8SMOOx2O729vWRkZLBv375Nj4nVWI6nkZqaSnFxMe3t7VgslrA4cnNzycnJkXqIV0jMzF7NZjODg4NUVVVtmURsbW1NdJtbBoOB6upqrFbrhrT6kjBeLTEjjgcPHjA/P091dfWWUW1+vz8i5bFeJSqVCpPJhF6vp6+vLyozsouVmBCHzWajs7OTjIyM11pDPFowGo3k5eUxPj6+LVcSiRcjJsTR3d3N0NAQDQ0NO5aVI5ZISkqiqKiIpaUlqdDmayQmxHHv3j0cDgd1dXVPzYErpmXcx9Hr9dTW1uLz+bh+/brkVfuaiHpxzM3N0dfXR1JS0jNz4IpVHAB1dXUoFAouXbq0I+GzEs8m6sUxMzPD1NTUpqnmn0QsriObkZKSQnp6OiMjI1KRzddE1LemyclJFhcXKSgoWFcbYjNkMploBRIfH4/JZCI+Pp6enh7RrcpFI1HdktbW1ujp6UGpVEZVLfFIEBcXR3V1NZmZmdy5c0cKdX0NRLU4LBYLXV1dG8Jht0JMTodPIggCBQUFGI1Gent7JXG8BqJaHENDQ4yPj2Mymbad/U8MpKSkUFFRgd1uZ2xsLNLmiJ6oFkd/fz8ej2dDvbitEPNqFTzyOm5sbESv10tLuq+BqBWH3++nv78/XK5X4hEmk4m8vDxu376NzWaLtDmiJmrFESrXW1ZW9txDqkAgIDrHwydRq9UUFhZitVqZm5uLtDmiJmrFYTabmZ+fp6KigqSkpEibEzWo1WrKy8vx+XyMjo6K/mEQSaJWHBMTE2i12g3VfJ6GXC4XfdoZQRAoKyvDYDBgNpul3fJXSNSKY3x8PFze93mRyWSin5TDo7ICBQUFmM1mlpeXI22OaIlKcUxOToaLt2xVUHEzfD6fKKMBn0Sv19PY2MjIyAgTExORNke0RKU4enp6mJ2dxWg0vlBN8bW1tV2xvCkIAvX19aytrdHX1xdpc14ZkX7IRd0A3e/3097ejtPpfO5acCFUKpXo5xwhCgsLycjIYGRkBLfb/UIPkVdNqPcWBCE81N2KYDDI8vIyg4ODLC8v09zczNjYGNPT0zidTkwmEyUlJa/R+v8RdS1paWmJ3t5e1Go1cXFx4Zv8PIRKEOwGVCoVZWVljI+PY7Vayc3NjbRJwKOiQn19fQwNDaFQKML5ebdyGnU6ndy+fZtvv/2W4eFh4uLi6OjowOl0kpqaGi6fHQm2JY7p6WnsdjsJCQkoFArW1tbw+XybNujQ/0ONN/RUkcvlKJVK/H4/gUCAW7duMTIyQkFBASsrKzx48ACVSoVMJkOlUqHVapHJZDgcDhwOBy6XC5/Ph8/n4969e/T39zMyMoJarQ6XP5PJZAQCgXBhm5Dn7pM2Pf7vJ0W22UQ/9Nrj53lZcT6+mBAqwvNkqqHQ+6FYeUEQGBoa4ty5czQ0NISrxmo0GuRyOT6fD6/Xi9vtDtctCd1zmUwWvs7zLAc//r1CxysUCtRqNUqlkmAwiN1up7+/n87OTh48eMDc3BxKpZLCwkKamprYu3cv5eXlJCcnh+9ZfHw8jY2NuN1uzp07x/nz56mqqqK2tpbs7OynBre9al5aHD6fj4cPH/Lw4UMUCgVyuRyPx4PP51t380M82ehCjVShUKDRaBAEgZWVFS5cuIDT6SQ3NxeHw0FHR0dYAHFxcej1egRBYH5+nuXlZYLBIF6vF4fDwfT0NGNjY/z3v/8lLi4u/AOEagWG3Lwfb9ChxvikfU82mMeF8Phnn8bj3/9Zx4bc7UP2hOwNNd7H3/P7/chkMtxuNxaLhdOnTzM3N4dGoyEhIQGdThcWh8vlwuFw4PP5UCqVKBSKcLLp0KbpZrm+nrQ3dD9CtsEjcYQq1AaDQWw2G2azmeHhYSYnJ7FarTidToaGhujt7aWzs5PW1lZaWlrIyMgIf2+dTsf+/fuJj4+ns7OTjz76KCp86V5aHHK5nLq6OkpLS8MNJnSTH38CPsnj4gj9LZfLEQSB2dlZLl26hMFgoKamhoaGhvCND/0ooad+6MkZDAbx+XwsLCwwMDDAwMAAJ06cCAvuyes+L89qLC/LZr1V6PUnrxH63o/3xCFxrK6uMj4+zrlz55ibmyMnJ4eGhgZ0Ot26TPN+vz/co4dyCT/5+7zovQmJ43FBC4LAwsIC9+/fJxgMsrS0FC7hVllZiU6nQ6fTYTQaN+0NAoEA6enp2Gy2qCl4+tLiEASB5ORkkpOTd8yYtLQ0SkpKwgXrQyk/fT4fVqsVi8XCwsICwWAQvV5PQUEB6enp4c97vV5sNht5eXm7ou5dbm4uTU1NjI+PU1VVFfHkE1lZWRQXF9PQ0IDFYkEmk2E0GsnKynpqOIHH42FsbIzq6mo6Ozvp6uoCHmWa1+v1EVtkiaoJucViYX5+ntLS0nA9isXFRS5fvsytW7cQBIGamhq0Wi1Xr17l66+/5uTJkzQ3NwPgcrmw2Wy7JkpOq9Vy4MABLBZL1MR3qNVqioqKnmvz1uPx0NHRwc2bN0lOTuYHP/gBKysrnD17luXlZU6ePBnRGJ2o2efw+Xx89913dHR0oNfrw13v999/z/Xr1zGZTHzwwQecOnWKd999l5aWFhYWFjh37ly4mxcEITw53w3I5XL27NmD2+3m/v37eL3eSJv0QshkMpRKJampqTQ3N3PgwAE+/PBDiouLSU9PD88vI0XU9Bxut5vr16/jcDjCpZOHhoZob28nMzOTH/7wh+uSJNfW1lJaWsq1a9cYHR2lqKgoPOHcLeIAKCoqIikpidHRUVwuFyqVKtImPTdKpZLS0lIyMjLCS9H19fV4PJ6Ir1RBFPUcdrud0dFRiouLw3ON27dv43Q6OXz48Ibs4Uqlkvz8fFZXVxkZGQEeDTO0Wi1qtfq12x8pNBoNFRUVLC8vMz8/H2lzXpgnVzXlcjl6vZ6EhISIJ8uIGnH09fUxNzdHRUUFRqMRn88XTq6wVb4qnU4X3vMAwkvDkb6pr5vKykqWlpbChURjCY1GQ1paWvj/SqWS4uLida9FiqhpRV1dXeGQWI1Gw+zsLHNzcyQlJW3pGhEIBEhMTAy7mbjd7vCG126ivLwcp9PJnTt3Ys6FXSaTbRg+6fX6qHCHiQpxLCws8PDhQ5KSksJ+NKFyAmq1etOlPJ/Px8zMDHl5eeENo5WVFVwu164Th9FoxGAw0Nvbi8ViibQ5oiEqxDE8PIzVaiUvL4+8vDzg0Z5Hamoqbrd7U/cGu93O8PAwJpMpvOzrcrkIBAKij+d4EpVKRVVVFXa7nenp6UibIxoiLo5gMEhfXx/Ly8uYTKZw/EZiYmJ4wj06Oho+Fh4Np8xmMzKZjOrq6nW7x2KqKPu8qFQqSkpKcLvdTE1NRdoc0RDxpdy1tTWGhoZwuVxUVlauG3+WlZXx4MEDzpw5w5EjR8K78WazmYGBAZqamqisrAwfr9Fo0Ol0u67nUCgUJCYmIggCExMTOJ3OXeEh8KqJuDhCjmmJiYkbKsQWFhaSm5vL5OQkvb295OTkrOs19u3bt64RxMfHk5CQsOvEAZCenk5aWhozMzMsLy9L4tgBIi6O2dlZRkZGqKqqCntqhsjOzubUqVPY7Xa0Wi2JiYnI5fKw79Rmfl27NRtHWVkZlZWVjI6OYrFYXii8WGJzIi6OgYEBlpeXqaqq2rC2HRcXR1VVVdit+lmRZc+KOhMzOp2O6upqBgcHGRgYoKqqatdERb4qIjpz9fv99Pb24vf7MZlMW65thzb3Qq7tWxEKvNmtVFZWotfr6e7ulrIh7gARFYfD4cBsNpOZmbkjYZ7PEo/YCcWVDw8PS9kQd4CIimNsbIy5uTlqamp2ZIzscrlizjN1J0lISCAzMxOr1crs7GykzYl5IiqOwcFBXC4XdXV1GAyGbZ0rGAzu2h3yEDKZjJycHNbW1piZmYm0OTFPRMUxPj4eLsqy3eFQKI58N/pWhQiJQ6VSMTY2htPpjLRJMU3ExOHxeBgfH0ev12M0Grd1rmAwyNraGh6PZ1ckdXsaubm5JCcnMzY2JhXW3CYRE8fCwgJms5ns7OwNsRoviiAI4aQCu3lCDpCUlEReXh6Li4ssLCxE2pyYJmLiGBgYYGJigqKiom2LAx7ticTFxaFUKne1QNRqNRUVFaytrYWDwCRejoiIw+tKnf4AAAEeSURBVO12c/fuXQKBQLh88E4QEshup7y8HLVazeDg4K5evdsuERNHf38/qamp5Ofn79h5NRoNarV6V/ccACUlJSQlJTE5ORmOkpR4cSIiDkEQ0Ol01NfXv3Cy6KdhMBh2Vfz4VmRmZlJQUBBewZN4OSLifBOKC09LS0Or1e7YebVabcTTuUQLZWVl4TSqEi9HRMShUqk4dOgQSUlJO+oLpdPpqK2t3dX+VSEaGhrIycmRvHO3gRCM0I5ZyMt2J5/yobyyuy0ScDOke7F9IiYOCYloR3qsSEhsgSQOCYktkMQhIbEFkjgkJLZAEoeExBZI4pCQ2AJJHBISWyCJQ0JiCyRxSEhsgSQOCYktkMQhIbEFkjgkJLZAEoeExBb8P8mq1PhQyscIAAAAAElFTkSuQmCC)
If a,b, and c are positive constants, which of the following could define the function r ?
The graph of y =r(x) is shown in the xy-plane
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMcAAACbCAYAAADWSY9KAAAgAElEQVR4nO2d129b992Hn8MpiSIpakvU3tSyLFvD67XiRI6d1G1ykaIFggBt0V70ruhf0gJFb9KiA0XRNHHqDDupnXjbsmxr2JZkLWoPiqQ2pzjeC4OsZUlekk3y6DyAYZs8POfLw9/n/NZ3CMFgMIiEhMQGZJE2QEIiWpHEISGxBZI4JCS2QBFpA7bLysoKVqsVuVxOVlYWKpUKp9PJ0tISaWlpKBQx/xUlIkRM9xxra2vcvHmT3//+9/z5z3/GarUC0NfXx+nTp1lZWYmwhRKxTEyLQxAEMjMzSU9PZ3h4mOnpaQBGRkawWq0EAoEIWygRy8T0mEOhUFBbW0sgEGB4eJi5uTm8Xi8Oh4PGxkY0Gk2kTZSIYWK65wghk8nwer3MzMwwNTVFYmIie/fuJS4uLtKmScQwohBHYmIiGRkZTExMcP/+fQoLC0lKSoq0WRIxjijEoVAoUCqVLC4u4nK5yM/PJz4+PtJmScQ4ohCH1+vFbrcjl8upqanBYDBE2iQJERDz4ggEAthsNuLj4ykrK6O4uBiZLOa/lkQUENOrVYFAgKtXr9Le3k5zczNNTU2o1epImyUhEmJaHIuLiwwODuJ2uzly5Ag5OTmRNklCRAix6LIeDAYZHh5maGiIYDBIXl4eJpNJGk5J7Cgx2XP4/X6mp6dxOp0cPnyY9PT0SJskIUJisueARytUgUAAtVqNIAjAox7F7/dLzoYSO0LMjkNUKhVxcXFhYQAsLCzQ3t6O1+uNoGUSYiFmxbEZ/f39XL58GafTGWlTJESAaMQRCARoa2vjxo0bjI+PR9ocCREgGnHYbDY6OjoYHx+ns7Mz0uZIiADRiGNkZIQHDx5gs9lob2+XAp0kto0oxLG6usq9e/eYnZ3F5XJhNpux2WyRNksixhGFOBwOR3ieoVKp8Hq9LCwsRNgqiVhHFOIIoVQqkclkBAIBFhYWpDBZiW0hit2ylJQU3n//fbRaLaOjo7z55ptUVlZK7iQS20IU4lAoFJSXlzM/P49CoeD48eNotdpImyUR44jm0SqTyXA6nXg8HqnHkNgRRNOKlEolgiCE/0hIbBfRiCMUR65UKiNtioRIEI044JEru8/ni7QZEiJBVOJwu924XC5i1AtfIsoQlTgEQSAYDErikNgRRCWOhISEDTEeEhIviyQOCYktEJU44uLiUKlUkTZDQiSIYoc8RGgpd6d6DofDgd1uZ3FxEafTyerqKgqFgoyMDFJTU0lJSZE2HEWMqMSxExNxn8/H1NQUg4OD3L9/n76+PiYnJ3G5XCgUCjQaDRqNhtzcXJqbm6mrq8NoNEr7KyJEVOIIBAIv7YkbDAZZWVnh+vXrfP311wwNDZGUlERaWhpVVVXodDpSUlJwuVx0d3dz5coV2traKC8vp6WlhaNHj5KRkYFcLt/hbyURKUQlDr/f/9LiMJvNnDlzhrt37xIMBjl69CjvvvsuFRUVyOVyBEEI1wHp7e3l9u3bDA0NYbFYOHv2LPfu3eO9996jsbFRWhAQCaISx8sMq7xeLxMTE1y4cIGLFy+SkJDAhx9+yPHjxzfNu6tSqairq6O6uprV1VV6enr46quv6OrqIjU1lYKCAtLS0qS5iAgQlThkMtkLNcpgMMjAwABfffUVk5OTHDhwgNraWvbu3fvMhNQKhYKkpCRqa2uJj4+nurqayclJPv74Y5qbmzl06JBUWSrGEZU45HL5C4ljZmaGBw8eMDIyQlpaGqdOnaKysvKF5g1arZb6+nrKy8v55ptv+Pzzz3G5XCQkJEil12IcUYlDJpM993i/p6eHL7/8EpfLxfHjx9m7dy/5+fkvPaHWaDS8+eabJCUl0dbWxl//+lfm5uZ4++23JYHEKKIaGD9vLIfVaqWtrY22tjbkcjktLS0UFRVte6UpKSmJlpYWysrK6O/v58aNG9jt9m2dUyJyiEocPp/vmatV09PT/Pvf/6arq4va2lpaW1tJSUnZMRvkcjnV1dWcOHGC+Ph4Ll++zOzs7I6dX+L1ISpxeL3eZ8ZzdHZ2cuHCBXw+H++99x5NTU07bkdRURG/+MUvqKur486dO1y/fh23273j15F4tYhOHE/rOQYHB/nyyy9RqVS89dZb1NbWvpIlV7VaTWpqKgcPHkQQBM6dO8fg4OCOX0fi1SIqcTxth9ztdvPtt9/S29tLU1MTb7/99iuv45GamorJZGJ4eJizZ88yPz//Sq8nsbOIShxPczq8desWHR0dNDQ00NraSmJi4iu3RyaTceDAAfbs2cO1a9f44osvpPIIMYSoxKFSqcLRgI9jt9v57LPPcDqdfPTRR1RXV782m6qqqnj//ffxeDycOXOGrq6u13Ztie0hKnGo1eoNy7EOh4Ovv/6awcFB9u/fT1lZ2Wu3q7q6mjfeeIOVlRXOnDnDxMTEa7dB4sURlTg22yG3WCx8+umnxMfHc/LkSeLj41+7XcnJyfz85z/HZDLx/fffc+PGjddug8SLIypxPDkhd7lcnD9/Hr/fT2tra8TqlAuCQEZGBi0tLcTFxXH16lXGxsYiYovE8yMqcTy5zzE4OMg333xDfX09H3zwAVqtNqKZSY4dO8ahQ4fo7e1lYGAgYnbEGh6PB7/f/9qvKypxhG6iIAg4HA4uXLiA3W7n0KFDpKamvpDv1avAYDDwzjvvkJyczO3bt6XqU8/B3NwcY2NjuFyuZx7r9XpxOBw79gAUlTh8Pl+455iamuLixYvk5ORgMpkibNn/OHjwIM3NzbS3t9PR0RFpc6KeUEDZZp4PT4rAbDZz+fJlpqend+TaohKHSqXC6XQyNzfHrVu3EASBt956a0d9p7aLQqGgsbERuVzOt99+KzkmPoXp6WlGR0fRarXo9foN7z85ChAEAavVys2bN+nv79/29UUlDo1Gw+rqKoODg7S3t1NfX88777zzzMCl1019fT1VVVVcu3ZNWrnaAo/Hw6efforFYiE7O/u5hsM5OTnk5uZy//79HbmvohJHXFwcNpuNtrY2XC4Xhw8fJjMzM+pShCYmJnLgwAEUCgUdHR14PJ5Im7SBYDC4zi6fz4fFYtnxUnKPn+/x32h6epqHDx+SnZ2NwWB45jn8fj8ajYa6ujpSUlKYnJxkbW1tW7aJShxyuRyr1cqVK1coKChg7969wP92zqOJhoYGmpubGRgYoK+vL9LmrMPhcHDlyhX+8Ic/hN3tBwcH+fvf/74j7veBQAC73c6NGzf429/+xvz8PN999x2/+93vWFxcBKC/v5+0tDQaGxvXpT2anJzkk08+4c6dOwA4nU7+9a9/8cc//pG5uTmSk5PZt28ffr+fycnJbdkpqkhAv9/PysoKTqeTmpqaTcep0UJqaiotLS18/PHH3Lp1iz179kSNgFdXV+no6OCzzz6jvr6ezMxMJiYm6Ovrw+FwrDt2cnKSgYEBJicnw++FXHhSUlIwmUyUlZVtGNrOzs5y48YNrly5Qnl5OcPDw8zMzLC2tkYwGGRqaoqMjAwyMjLWfc5isXD79m1u3bqF0+nEYDBgt9vXeUcYDAY8Hg89PT0UFha+9H0QVc8xPT2N3++noKCAPXv2vHKv2+1SX1+P0Wjk2rVrEQuI2myYlJyczP79+9FqtUxMTODz+fD7/aSkpKx7igcCAVwuF0tLS9jtdubm5pidnWVmZoaZmRlsNhtOpxOv17vu/DKZjOzsbHJycnA6nVitVo4dO8Zvf/tb0tLS8Pl82Gw2tFrtujgYv99PcnIyb7/9Ng6Hg7Nnz7K6usqPfvQjfvnLX4YXXhQKBYuLi3R3d29rGBjdrecFWF5epq+vD5VKRX19/YYnTjSSmppKTU0N//znP7lz5w6nTp16rdcPBoP4/f4NLjdKpZLy8nJycnJYXV3F6XQiCAIlJSVoNJrwcTKZjNLSUkpLS1/42jqdDqVSiU6nw2AwUFxcvK7nXF1dDdv4+PVCaY/i4uLwer0YjcYNng9KpZJgMIjNZiMQCLx0zI5oxOFwOOju7kar1XLkyJGI+FC9DM3NzXzzzTecP3+egwcPvtZlZ0EQtkxjqtVqyc/PJxgMMjw8HA7/fdLV3+12Y7PZmJmZYX5+HpfLFT5vQkICSUlJ4eHR4400GAwyPT1NQUEB5eXlG4aUbrebpaUlEhIS1tmbmJjI1NQUq6urCIJAIBDY8FmVSoXBYCAhIWFbQ1XRiGN+fp7x8XGys7MpLy+PtDnPJBgMIggCpaWlVFRUcPXqVTo7O3nrrbdey/VXV1cZHh7G4/FQUVGBTqdb975cLiclJQW73c7MzAyZmZkUFRVteOgsLS1x8+ZN7ty5w+joaNhLQS6XU1RUxBtvvEFWVtaGp/fq6iozMzMUFhZuWI0SBAGtVhuenD+Oz+fD5XKRmZmJ1WplYmKCgoKCdcd4PB50Oh3l5eXbSpohCnG43W4GBgYQBIG0tLSYSIUTeqIplUr279/PlStXOH/+PI2NjRsa6k7hdDqx2WxYLBYsFgtzc3MoFApycnI2XFMmkxEMBunt7eXo0aOUlpZuWts9IyODEydOsH//flZWVvD7/eGhkE6nIzMzc11vE3ooWCwWlpaWaGxs3DA3lMvllJWV0dXVxerqKvHx8UxOTobnEJmZmbS2tnLmzBlOnz6NTqejtrY2fE9HR0dRqVQcOnRoW/dLFOKYmpri3r17JCYmkpycHHPJnPfs2UNhYSE3btygra2N48eP7+j5A4EAIyMjnD9/nrGxMdLS0ti/fz+tra1bbpCGhi0JCQlkZ2dvKowQWq32qe8/TjAYxOVy4ff7yc3NpaSkZNOd7oqKCkZGRrBareh0Ou7evcuf/vQnMjMz+fWvf83Ro0cZHBzkwoULDA0NUVZWRnx8PIuLiwwPD6PT6bY974x5cYSebsPDw6Smpu5ofY7XhdFopKmpia6uLq5fv05zc/OO9R5er5f+/n56e3sJBoM0NTVx+PBhUlNTn/qZ0PztZz/7GXl5eTtiCzzqkRISEiguLuYnP/kJmZmZmx6Xm5tLQ0ND2O7y8nJ+85vfkJqaGh42nzhxgpqamvBSscVi4eHDh+HecLvEvDg8Hg+9vb0sLy+Ho/yiaTf8eVAoFOzbtw+DwUBnZycTExNUVVXtyLmHhobo7u4mJSWFkydPPlN0Ho+HiYkJJiYmyMvLo7m5+ZUsiavV6g1zhcdJSUmhubmZzz//nPn5eQ4cOEBFRcW6Y3JycsIi8Pv9TE1NMTExQVZWFiUlJfh8vm3ZHvPimJqaYmpqipycHIxGI3a7PebEAZCfn8+ePXvo7OxkfHx8R8Thdrsxm80YjUYOHDjwzLmYz+fj8uXLjIyMYDKZIr5XlJiYyLFjx4iLi3umHaF5il6vR6vVYjAYtm17TG8COhwObt26hc1mo6amhuzs7HUTwlgiPT2dw4cPEx8fv2M5roLBIFarFblc/lyLFE6nk4cPHzI1NUVpaSl6vX7HfaleFKPR+NzL24mJiRQXF5Oenr4jlbZiuuewWCxcvHiRtbU1Ghsb8Xg8m2YfiRUOHjxIW1sbd+7cYWRkZFuuDwDx8fEkJiZisVhYXFwkISHhqQVFNRoNx44dIxAIkJaWBrCr64zE9DefnZ2lu7ub5ORkysvLiY+PRxCEZ6YEjVaysrLYv38/ZrOZu3fv7khoaFpaGqOjo/z3v/+lt7f3qWlJ5XI5VVVV1NTURL3rzesgpsXR398fLlEW2g0NBAIxKw4Ak8mEwWDg2rVrYReK7ZCfn4/BYGBycpKLFy9y4cKFp7rIP2+m+t1AzIpjcXGRe/fuUVhYSEtLC0BYGLH84+bn52MymXj48CGjo6PbPl9BQQE//elP+fGPf4zH4+H69etYrdYdsFT8xKw4Hjx4wNjYGEeOHCE7Oxv4nyNdLItDr9fT0NCA2+2mvb192+cTBAGNRkNOTg5vvvkmpaWl6/yVJLYmJsXh8/loa2vD7XbT0NAQfj0U8RdrO+RPsnfvXjIyMujq6trR0gXLy8tMTU1JWU+ek5gUx+TkJL29vWRnZ6/bDxAEAZVKFfPiyM7Oprq6munpacbHx7d9Pq/XS19fH5cuXWJ5eXnb4aO7hZgUh9lsxmq1UldXt26IEAwGUavVMT2sAkhISGDfvn34fD7u3LnzXDmbtsJisXD58mUuXbpESUkJv/rVr8jPz4/4/kUsEHPi8Hq99PT0AFBbW7uul/B6vTHpW7UZ+fn5aDQabt68uanr9rNYW1uju7ubL774gu+//x6LxYLJZKK0tFRapn1OYu4u2e12enp6SE1NpbKyct17a2trKBQKUYgjPT0do9FIR0cHMzMzZGVlPfMzXq8XhUKBTCZjenqaL7/8Eo/HQ2trKyaTKexsKC3XPh8xJw6LxcLMzAz79u3b1K1ALD96cnIyxcXFYTfz+vr6TY9bW1tjdnYWs9mM2WwOBymFkg8UFhayf//+VxYjImZiThw9PT34fD6qqqo2CEGpVIrG3SG0W20wGBgaGtoyFtpsNnP69GkuXbrEzMwMBQUFtLa28n//93+0trai1WpjfoEiUsSUOKxWK7dv3yYxMXHT/LdKpVJUDaGsrIyamhoGBwdZWlpaF04aCATo6+vjk08+4T//+Q9DQ0P4fD6MRiOVlZXrIuMkXo6YEkdfXx/d3d3s27dv01iA0HxDLI0iKyuLI0eO8Je//IW7d++uiy/v7e3lH//4B/39/ZSUlNDU1ER6ejqHDh2isbFRNPcgksSUOHp6elhaWqK6unrTXd5gMEggEIhZr9zNqK6uRqlU8t13362LL9fr9Rw+fJjW1laysrLQ6/VoNJqoTmQXa8SMOOx2O729vWRkZLBv375Nj4nVWI6nkZqaSnFxMe3t7VgslrA4cnNzycnJkXqIV0jMzF7NZjODg4NUVVVtmURsbW1NdJtbBoOB6upqrFbrhrT6kjBeLTEjjgcPHjA/P091dfWWUW1+vz8i5bFeJSqVCpPJhF6vp6+vLyozsouVmBCHzWajs7OTjIyM11pDPFowGo3k5eUxPj6+LVcSiRcjJsTR3d3N0NAQDQ0NO5aVI5ZISkqiqKiIpaUlqdDmayQmxHHv3j0cDgd1dXVPzYErpmXcx9Hr9dTW1uLz+bh+/brkVfuaiHpxzM3N0dfXR1JS0jNz4IpVHAB1dXUoFAouXbq0I+GzEs8m6sUxMzPD1NTUpqnmn0QsriObkZKSQnp6OiMjI1KRzddE1LemyclJFhcXKSgoWFcbYjNkMploBRIfH4/JZCI+Pp6enh7RrcpFI1HdktbW1ujp6UGpVEZVLfFIEBcXR3V1NZmZmdy5c0cKdX0NRLU4LBYLXV1dG8Jht0JMTodPIggCBQUFGI1Gent7JXG8BqJaHENDQ4yPj2Mymbad/U8MpKSkUFFRgd1uZ2xsLNLmiJ6oFkd/fz8ej2dDvbitEPNqFTzyOm5sbESv10tLuq+BqBWH3++nv78/XK5X4hEmk4m8vDxu376NzWaLtDmiJmrFESrXW1ZW9txDqkAgIDrHwydRq9UUFhZitVqZm5uLtDmiJmrFYTabmZ+fp6KigqSkpEibEzWo1WrKy8vx+XyMjo6K/mEQSaJWHBMTE2i12g3VfJ6GXC4XfdoZQRAoKyvDYDBgNpul3fJXSNSKY3x8PFze93mRyWSin5TDo7ICBQUFmM1mlpeXI22OaIlKcUxOToaLt2xVUHEzfD6fKKMBn0Sv19PY2MjIyAgTExORNke0RKU4enp6mJ2dxWg0vlBN8bW1tV2xvCkIAvX19aytrdHX1xdpc14ZkX7IRd0A3e/3097ejtPpfO5acCFUKpXo5xwhCgsLycjIYGRkBLfb/UIPkVdNqPcWBCE81N2KYDDI8vIyg4ODLC8v09zczNjYGNPT0zidTkwmEyUlJa/R+v8RdS1paWmJ3t5e1Go1cXFx4Zv8PIRKEOwGVCoVZWVljI+PY7Vayc3NjbRJwKOiQn19fQwNDaFQKML5ebdyGnU6ndy+fZtvv/2W4eFh4uLi6OjowOl0kpqaGi6fHQm2JY7p6WnsdjsJCQkoFArW1tbw+XybNujQ/0ONN/RUkcvlKJVK/H4/gUCAW7duMTIyQkFBASsrKzx48ACVSoVMJkOlUqHVapHJZDgcDhwOBy6XC5/Ph8/n4969e/T39zMyMoJarQ6XP5PJZAQCgXBhm5Dn7pM2Pf7vJ0W22UQ/9Nrj53lZcT6+mBAqwvNkqqHQ+6FYeUEQGBoa4ty5czQ0NISrxmo0GuRyOT6fD6/Xi9vtDtctCd1zmUwWvs7zLAc//r1CxysUCtRqNUqlkmAwiN1up7+/n87OTh48eMDc3BxKpZLCwkKamprYu3cv5eXlJCcnh+9ZfHw8jY2NuN1uzp07x/nz56mqqqK2tpbs7OynBre9al5aHD6fj4cPH/Lw4UMUCgVyuRyPx4PP51t380M82ehCjVShUKDRaBAEgZWVFS5cuIDT6SQ3NxeHw0FHR0dYAHFxcej1egRBYH5+nuXlZYLBIF6vF4fDwfT0NGNjY/z3v/8lLi4u/AOEagWG3Lwfb9ChxvikfU82mMeF8Phnn8bj3/9Zx4bc7UP2hOwNNd7H3/P7/chkMtxuNxaLhdOnTzM3N4dGoyEhIQGdThcWh8vlwuFw4PP5UCqVKBSKcLLp0KbpZrm+nrQ3dD9CtsEjcYQq1AaDQWw2G2azmeHhYSYnJ7FarTidToaGhujt7aWzs5PW1lZaWlrIyMgIf2+dTsf+/fuJj4+ns7OTjz76KCp86V5aHHK5nLq6OkpLS8MNJnSTH38CPsnj4gj9LZfLEQSB2dlZLl26hMFgoKamhoaGhvCND/0ooad+6MkZDAbx+XwsLCwwMDDAwMAAJ06cCAvuyes+L89qLC/LZr1V6PUnrxH63o/3xCFxrK6uMj4+zrlz55ibmyMnJ4eGhgZ0Ot26TPN+vz/co4dyCT/5+7zovQmJ43FBC4LAwsIC9+/fJxgMsrS0FC7hVllZiU6nQ6fTYTQaN+0NAoEA6enp2Gy2qCl4+tLiEASB5ORkkpOTd8yYtLQ0SkpKwgXrQyk/fT4fVqsVi8XCwsICwWAQvV5PQUEB6enp4c97vV5sNht5eXm7ou5dbm4uTU1NjI+PU1VVFfHkE1lZWRQXF9PQ0IDFYkEmk2E0GsnKynpqOIHH42FsbIzq6mo6Ozvp6uoCHmWa1+v1EVtkiaoJucViYX5+ntLS0nA9isXFRS5fvsytW7cQBIGamhq0Wi1Xr17l66+/5uTJkzQ3NwPgcrmw2Wy7JkpOq9Vy4MABLBZL1MR3qNVqioqKnmvz1uPx0NHRwc2bN0lOTuYHP/gBKysrnD17luXlZU6ePBnRGJ2o2efw+Xx89913dHR0oNfrw13v999/z/Xr1zGZTHzwwQecOnWKd999l5aWFhYWFjh37ly4mxcEITw53w3I5XL27NmD2+3m/v37eL3eSJv0QshkMpRKJampqTQ3N3PgwAE+/PBDiouLSU9PD88vI0XU9Bxut5vr16/jcDjCpZOHhoZob28nMzOTH/7wh+uSJNfW1lJaWsq1a9cYHR2lqKgoPOHcLeIAKCoqIikpidHRUVwuFyqVKtImPTdKpZLS0lIyMjLCS9H19fV4PJ6Ir1RBFPUcdrud0dFRiouLw3ON27dv43Q6OXz48Ibs4Uqlkvz8fFZXVxkZGQEeDTO0Wi1qtfq12x8pNBoNFRUVLC8vMz8/H2lzXpgnVzXlcjl6vZ6EhISIJ8uIGnH09fUxNzdHRUUFRqMRn88XTq6wVb4qnU4X3vMAwkvDkb6pr5vKykqWlpbChURjCY1GQ1paWvj/SqWS4uLida9FiqhpRV1dXeGQWI1Gw+zsLHNzcyQlJW3pGhEIBEhMTAy7mbjd7vCG126ivLwcp9PJnTt3Ys6FXSaTbRg+6fX6qHCHiQpxLCws8PDhQ5KSksJ+NKFyAmq1etOlPJ/Px8zMDHl5eeENo5WVFVwu164Th9FoxGAw0Nvbi8ViibQ5oiEqxDE8PIzVaiUvL4+8vDzg0Z5Hamoqbrd7U/cGu93O8PAwJpMpvOzrcrkIBAKij+d4EpVKRVVVFXa7nenp6UibIxoiLo5gMEhfXx/Ly8uYTKZw/EZiYmJ4wj06Oho+Fh4Np8xmMzKZjOrq6nW7x2KqKPu8qFQqSkpKcLvdTE1NRdoc0RDxpdy1tTWGhoZwuVxUVlauG3+WlZXx4MEDzpw5w5EjR8K78WazmYGBAZqamqisrAwfr9Fo0Ol0u67nUCgUJCYmIggCExMTOJ3OXeEh8KqJuDhCjmmJiYkbKsQWFhaSm5vL5OQkvb295OTkrOs19u3bt64RxMfHk5CQsOvEAZCenk5aWhozMzMsLy9L4tgBIi6O2dlZRkZGqKqqCntqhsjOzubUqVPY7Xa0Wi2JiYnI5fKw79Rmfl27NRtHWVkZlZWVjI6OYrFYXii8WGJzIi6OgYEBlpeXqaqq2rC2HRcXR1VVVdit+lmRZc+KOhMzOp2O6upqBgcHGRgYoKqqatdERb4qIjpz9fv99Pb24vf7MZlMW65thzb3Qq7tWxEKvNmtVFZWotfr6e7ulrIh7gARFYfD4cBsNpOZmbkjYZ7PEo/YCcWVDw8PS9kQd4CIimNsbIy5uTlqamp2ZIzscrlizjN1J0lISCAzMxOr1crs7GykzYl5IiqOwcFBXC4XdXV1GAyGbZ0rGAzu2h3yEDKZjJycHNbW1piZmYm0OTFPRMUxPj4eLsqy3eFQKI58N/pWhQiJQ6VSMTY2htPpjLRJMU3ExOHxeBgfH0ev12M0Grd1rmAwyNraGh6PZ1ckdXsaubm5JCcnMzY2JhXW3CYRE8fCwgJms5ns7OwNsRoviiAI4aQCu3lCDpCUlEReXh6Li4ssLCxE2pyYJmLiGBgYYGJigqKiom2LAx7ticTFxaFUKne1QNRqNRUVFaytrYWDwCRejoiIw+tKnf4AAAEeSURBVO12c/fuXQKBQLh88E4QEshup7y8HLVazeDg4K5evdsuERNHf38/qamp5Ofn79h5NRoNarV6V/ccACUlJSQlJTE5ORmOkpR4cSIiDkEQ0Ol01NfXv3Cy6KdhMBh2Vfz4VmRmZlJQUBBewZN4OSLifBOKC09LS0Or1e7YebVabcTTuUQLZWVl4TSqEi9HRMShUqk4dOgQSUlJO+oLpdPpqK2t3dX+VSEaGhrIycmRvHO3gRCM0I5ZyMt2J5/yobyyuy0ScDOke7F9IiYOCYloR3qsSEhsgSQOCYktkMQhIbEFkjgkJLZAEoeExBZI4pCQ2AJJHBISWyCJQ0JiCyRxSEhsgSQOCYktkMQhIbEFkjgkJLZAEoeExBb8P8mq1PhQyscIAAAAAElFTkSuQmCC)
If a,b, and c are positive constants, which of the following could define the function r ?
Maths-General
Maths-
![2 x minus y equals 3](data:image/png;base64,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)
![4 x minus y equals 3](data:image/png;base64,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)
How many solutions does the system of equations have?
![2 x minus y equals 3](data:image/png;base64,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)
![4 x minus y equals 3](data:image/png;base64,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)
How many solutions does the system of equations have?
Maths-General
Maths-
A company found that the average customer rating of a certain product can be used to estimate the total income from that product, according to the equation y=44x + 500, where is the income, in dollars, and x is the average customer rating. Which of the following best describes the slope of the graph of the equation in the xy-plane?
A company found that the average customer rating of a certain product can be used to estimate the total income from that product, according to the equation y=44x + 500, where is the income, in dollars, and x is the average customer rating. Which of the following best describes the slope of the graph of the equation in the xy-plane?
Maths-General
Maths-
![S left parenthesis t right parenthesis equals 158 t squared minus 771 t plus 10 comma 268](data:image/png;base64,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)
The number of students enrolled in a certain university years after 1969 can be modeled by the function above, for
. The constant term 10,268 in the function is an estimate for which of the following?
![S left parenthesis t right parenthesis equals 158 t squared minus 771 t plus 10 comma 268](data:image/png;base64,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)
The number of students enrolled in a certain university years after 1969 can be modeled by the function above, for
. The constant term 10,268 in the function is an estimate for which of the following?
Maths-General
Maths-
The speed of a lightning bolt is approximately 320 million feet per second. What is the speed, in yards per minute? yard feet
The speed of a lightning bolt is approximately 320 million feet per second. What is the speed, in yards per minute? yard feet
Maths-General
Maths-
![y equals left parenthesis x plus 3 right parenthesis left parenthesis x minus 7 right parenthesis](data:image/png;base64,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)
![y equals x minus 7](data:image/png;base64,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)
If (x, y) is a solution to the given system of equations, which of the following could be the value of x ?
![y equals left parenthesis x plus 3 right parenthesis left parenthesis x minus 7 right parenthesis](data:image/png;base64,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)
![y equals x minus 7](data:image/png;base64,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)
If (x, y) is a solution to the given system of equations, which of the following could be the value of x ?
Maths-General
Maths-
At the beginning of a study, the number of bacteria in a population is 150,000 . The number of bacteria doubles every hour for a limited period of time. For this period of time, which equation models the number of bacteria in this population after hours?
At the beginning of a study, the number of bacteria in a population is 150,000 . The number of bacteria doubles every hour for a limited period of time. For this period of time, which equation models the number of bacteria in this population after hours?
Maths-General