Maths-
General
Easy
Question
![](data:image/png;base64,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)
The graph of the equation y = mx + b, where m and b are constants, is shown in the xy-plane. What is the value of m ?
The correct answer is: 1.5
The slope of line passing through (x1, y1) and (x2, y2) is
![m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](data:image/png;base64,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)
Here, x1 = - 2 ; y1 = - 1 ; x2 = 0 and y2 = 2
m = ![fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction equals fraction numerator 2 plus 1 over denominator 0 plus 2 end fraction equals space 3 over 2 space left parenthesis o r right parenthesis space 1.5](data:image/png;base64,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)
Related Questions to study
Maths-
![](data:image/png;base64,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)
The points in the figure shown lie in the same plane. If △ABF is congruent to △ EDG, where ∠A corresponds to ∠E and ∠B corresponds to ∠D, what is the measure, in degrees, of ∠GCF ? (Disregard the degree symbol when gridding your answer.)
![](data:image/png;base64,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)
The points in the figure shown lie in the same plane. If △ABF is congruent to △ EDG, where ∠A corresponds to ∠E and ∠B corresponds to ∠D, what is the measure, in degrees, of ∠GCF ? (Disregard the degree symbol when gridding your answer.)
Maths-General
Maths-
![](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?
![](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?
Maths-General
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-
![](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?
![](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,iVBORw0KGgoAAAANSUhEUgAAAHkAAAARCAYAAAD5XQN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAn5JREFUeNrtWE9EBFEYX2slSWQl6ZZkJSuSrCSRJCuJPXRKunVKlw5J0qXTShIr2UOHJatDsiJZe+iwJGtPiXTMXjrsYWXF9j1+wzTemz8783amNT9+h/1mZt/n+/O+33uBgDw0wDrxiTgc8NG2CBK3iC9+KNof334I2huzxIIfBncxR8wRa+i4N+IJMezAfw9gJg9J9L+GseAVNHQoAz3Ec2IRTMH2B3niKrFDZRsn3ttcfIR4h0TLAhN0ZY81TaPF6z0Sl1W/47CZQtVmB+d4FeVwkFaIGY8lr5VJThBPOXa2E68Zfcy211eOfZN4zLEf4ZkCluBICzrhgLhHPCR+YtzkObuHWb//W5KzxAXBCM6KPuonbmAuLwneecF7Ctj7ZybmkowkXxPfibvEXszmpKC7zfjtVpIbJsjDl2bMKmC2itEi2zoOLSKQDPNW9n8JQWLFOMoRIlUJfltJch0+sB1th9gtqZN/dJ7VRQ96MeeKOPqI8IDnJQdUeLNVHISy1qJTR09Y8btZvxSEiBPEfYy+SIuTbHg30Y1Ei7CNSom6KHCmMH+1iOl0qR2/7czaBYO7gmYLqiLYrjt527WVSpjGUE+aUXASg8nWTnPsO+gep/22K6hk3PplMYZ4RZU1+jiKecdT3bfELnT7s0OXJs0E8xTiSSs4yhx17YTfdpI8BoHoNNj9xgXHntYWcgHnrRDmHJPfH8R1zYd9EBJhzcH7yqUk36AQ5/F7ELYNSX5b8SuGWAbRae9IiAzkMYZCKPI93miYwc3Ut+qcGed0yA0CqUVGsGXIRgU3PW8QICWIRrf9Tqh8+sIxb1JiHJhYvkTumBBNSVTzPryIX912y/oqO0UzAAAAsHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4zPC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1pPmI8L21pPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjU8L21uPjxtbz49PC9tbz48bW4+MDwvbW4+PC9tYXRoPu4M7oUAAAAASUVORK5CYII=)
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,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)
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,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)
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