Maths-
General
Easy
Question
Rewrite the equation as a system of equations, and then use a graph to solve.
![0.5 x squared plus 4 x equals negative 12 minus 1.5 x](data:image/png;base64,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)
Hint:
A graph is a geometrical representation of an equation or an expression. It can be used to find solutions of equation.
We are asked to rewrite the equation as system of equations and graph them to solve it.
The correct answer is: We are asked to rewrite the equation as system of equations and graph them to solve it.
Step 1 of 3:
Equate each side of the equation to a new variable, y:
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.5 x squared plus 4 x equals y end cell row cell negative 12 minus 1.5 x equals y end cell end table](data:image/png;base64,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)
Step 2 of 3:
Find three points of the equation,
;
When x = 0,
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.5 x squared plus 4 x equals y space space space end cell row cell 0.5 left parenthesis 0 right parenthesis plus 4 left parenthesis 0 right parenthesis equals y end cell row cell 0 equals y space space space space space space space space space space space space space space space space space space end cell end table](data:image/png;base64,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)
when x = -1,
![Error converting from MathML to accessible text.](data:image/png;base64,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)
when x = 1,
![Error converting from MathML to accessible text.](data:image/png;base64,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)
Thus, the required points are, (0, 0) (-1, -3.5) and (1, 4.5).
Find two points of the equation -12 - 15x,
When x = 0,
![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAAA/CAYAAADDlXtoAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAjYkPj7AAAA5FJREFUeNrtm9GHVHEUx3/WWCuJrLUPPcRKkrWW9DCSRNbIWlmSJEmsZGX0mvSQWD2MJLGykrUiSZLESjJWIsnqIdEfsC/7sA9ZY6lzZs+97l7nztw7O797f/fO98OXnTN3zG9/c+4953fv72tMsThMukP6EfH+CdIr0gapIcddynhMQf61EEjIImmmxeR9Jl0k7ZXXR0krEstqTOFkAF0myaQeJK06MiZnk2GBdEGJV0n3C5QMzGYOk+EaaU6J35P3usoV0oNQbA/pN2kwYb1Lu+4l+a6ylIo8Xhm+k4YDr6+SHtsY/FnSy1DsrjRDRSkTA6Sv0li6kgwNaXDfk24F+huNCqkmf58hfbQ1eD77fwZeD5H+yATanLBuXF3iHLef9IY04dCYPEqkY3Li/SIdaXHsMumUrFYGbWbz38DfNekXbE9aGmfhiCTCIYf7GI8JWQVFUZWryZjtf6AuEzciV4W+Aqwm+Cx7Kv2PyUEytGpwvfsmNcvL4ybPSVOkJdLlAiwth6UPKuVgheMxKieidnV7K0nNfcU322WiKkvMVZMvoib+XZv6m8WYgiX0taxu+kQVSYTp0GeGpMEM/viTZvsGlzXOyUCncpQErfqULPqZuGNizsvSfYu0Llex46Hj+yVpDijf9UISyAqcBF8MAHIpKmMawKjUWAAAAAAAAAAAAABQbG4YfdtbFHPyGVAweO9CJ48JVkwK+x5coJc8E/yjjodi+0hPzPY2Pta8xILw7ql6LyRDr3gmxo2+gZf3PwafLk8afU9kXZKiJyi6Z4J3rM+GYvzo+5Fy7EMl2W8m7DXgmXA4GT6QToZiXP60jb2n5b0gZZNwFzU8E+4mA/c8/aHYuhIzEltTYhtJBg/PRDbJEMczsRUz5tGIGYsEnon0x+TRzjORNBk2d5sMDDwT2fUxHppnQisTaxFlYqAbZcJbgsAzkW0yaGf2slLauEmsRCTTrhtIBp6J7JNB80xoS8tpSfIwz5Sl5ayyOGgLPBP2x9SJZyLqptMn+c1KUgpuG92W19FNJ3gm0huTd+OonWfCg59LjClN8YKUFe735pXVSMe3o+GZcJfUH1TBM+E2102y28rcJ8x02rjAMwEAAAAAAAAAAAAAAABxcdFXATLCRV8FyBgXfRW5Br4K4ANfBfCBrwL4wFcBdgBfBfCBrwL4wFcBdiwj4asATeCrAD7wVQAf+CpAE/gqCsh/TgW7VBJAodsAAALxdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0iPjxtdHI+PG10ZD48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEyPC9tbj48bW8+JiN4MjIxMjs8L21vPjxtbj4xLjU8L21uPjxtaT54PC9taT48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4xMjwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+MS41PC9tbj48bW8+KDwvbW8+PG1uPjA8L21uPjxtbz4pPC9tbz48L210ZD48L210cj48bXRyPjxtdGQ+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4xMjwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PC9tdGQ+PC9tdHI+PC9tdGFibGU+PC9tYXRoPgLIjUAAAAAASUVORK5CYII=)
when x = 1,
![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAABXCAYAAAA9DhbRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAva/WvxwAABElJREFUeNrtndGHFVEcx4+1VrIvWWsfeoiVJLmW9JBkRdZaayVWkmTFSlau3tNDYvWweugtPSSJJMlay0pyrUSS1cOK9B/0sA9Z11K/n/0N43bu3Dnnzpxz5sz3w5d7586dOXfmN+f8zsz53qNUXBwj3SV96/L5WdJr0g6pLetd9VymNH8zBErmOWkx42B/JF0hDcv7E6RNWearTJ3BAzxjchKOkLYCKVM0wfOUdFmzvEl6EFHwMLsVDJ4bpGXN8vvymVeukx52LDtI+kEaMWyvXbfbJvs6I01XFWuer6Sx1PsF0uMQrt4Z0quOZfck+Yul2TpA+iyJdCjB05aEfo10J5Wf6ZgmrcjrC6T3oZwArl2+p96Pkn7KAS/zABdRe+VZ7xDpLWkqoDIlDJJOyYW6TTqese4GaVJ6cyMhXcF/Uq9XJN8p+yC7uMrHJXCOBpyHJUxJL7EbTamtGqFV/y050ONS6wxE0Nviq/iJ5G+qAsGTldAn961WSr7dYMUz0hzpBelaBF31McnjBivQA0w4KReurvZ8JxcB50VfQmu2mtJl31LVotuJWu2RP/goU7pJfyO9vwHRtATOpY7vjEpCnQ6WWbV/QzIYLsoPm6tQ0GTlWT7ysbxlYublVsge6bfUkqc71h+SIDus2ddLCbgg4KD5pACwYE2qUQCME7VVHAYAAAAAAAAAAAAAAErlltIPQ+3GsnwH1Bweu2Pz2GhTBTjuJwTq5NniIJiw2B+PTmwhVP6nLp6tCdV9wH6e/bUkiEAfJ4GpomeLHS1LfWzrtmGuZAw8W+EGzzrpXB/b4lESpbos4NkKN3g4ZxvqY1tDso3SgGfLT/Dk8WztFbC/dpk/Fp4t92VK6OXZCj54GHi2/OVhCTrPVvDNVtKlg2fLb/DoEvqNHE2t14SZgWfLf/DoPFv9dtWXNJ2hwoFnq/wy2Xi2JnL0EL3fJIRny12ZmDyerQR+rtWw2J+zxxPwbIVL8A9G4dkKm5vK7DED5zmLLgoGzxYAAAAAAAAAAAAAAACA+oC5toA1mGsL9A3m2vIMfFsIHmvg20LwWAPflp/gMZlrK1jg23JfpgSTubaCBb4tf3lYQq+5toIFvi3/weMqoS8c+Lb8B0+3ubaCB76t8stk49uqBPBtuSsTY+LbCh74toA18G0B60QNvi0AAAAAAAAAAAAAAAAA9aOXX+q82n/8wgPeeLwMP5B8pPTjsxPgq6oJvfxSH9T+UIf0P6nzX9Su9wgeUCNMT/gOgqdY6uLh4uG22wieYondw8XDUxfk98wgeIolVg9XZ0A3c2wrCl+VS+rg4eIht2wAnMyxfhS+KpfE6uFKMywBZEJlfVUuidHDpcPGI7WL8MgmNg+XjoYkzSZU1lflktg8XNzUzEv+wrUo33H+JT1LXRPMROWrcklsHi6el3xVmhwW33GezdiOUpH5qlwCDxewBh4uYAU8XEDLPwEzYuN1APbPAAAERHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGFibGUgY29sdW1uYWxpZ249InJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IHJpZ2h0IGxlZnQgcmlnaHQgbGVmdCByaWdodCBsZWZ0IiBjb2x1bW5zcGFjaW5nPSIwZW0gMmVtIDBlbSAyZW0gMGVtIDJlbSAwZW0gMmVtIDBlbSAyZW0gMGVtIj48bXRyPjxtdGQ+PG1pPnk8L21pPjxtbz49PC9tbz48bW8+JiN4MjIxMjs8L21vPjxtbj4xMjwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+MS41PC9tbj48bWk+eDwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtcm93PjxtaT55PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTI8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEuNTwvbW4+PG1vPig8L21vPjxtbj4xPC9tbj48bW8+KTwvbW8+PC9tcm93Pjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEyPC9tbj48bW8+JiN4MjIxMjs8L21vPjxtbj4xLjU8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjwvbXRkPjwvbXRyPjxtdHI+PG10ZD48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjEzLjU8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWF0aD6UhWpvAAAAAElFTkSuQmCC)
Thus, the points are: (x = -12) and (1,-13.5)
Step 3 of 3:
Plot the points and join them to get the respective graph.
![](data:image/png;base64,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)
Here we get two points where both the graphs intersect each other. The points are (-8, 0) and (-3, -7.5). Thus, we can say that the solutions to the given set of equation are the points of intersection.
When you graph a quadratic equation find three coordinate points to get the curve. But when it is a linear equation, just two points would give the path of the line.
Related Questions to study
Maths-
Rewrite the equation as a system of equations, and then use a graph to solve.
![x squared minus 6 x equals 2 x minus 16](data:image/png;base64,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)
Rewrite the equation as a system of equations, and then use a graph to solve.
![x squared minus 6 x equals 2 x minus 16](data:image/png;base64,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)
Maths-General
Maths-
Find the simple interest on Rs. 6500 at 14% per annum for 73 days?
Find the simple interest on Rs. 6500 at 14% per annum for 73 days?
Maths-General
Maths-
Rewrite the equation as a system of equations, and then use a graph to solve.
![2 x squared plus 3 x equals 2 x plus 1](data:image/png;base64,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)
Rewrite the equation as a system of equations, and then use a graph to solve.
![2 x squared plus 3 x equals 2 x plus 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIQAAAARCAYAAAAc7wRXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAfZJREFUeNrtmTFLA0EQhQ8RERFBRIJYCEFELIKtiARBRMRCBItgISJYWOUPWNlYBQs7SwtBRESCCCIhhUVAJFiJjf8hhQQbfQMvcMhpLtndm6j74IPc5S6ZfZndm9kEgTt9kHdwD8YDLy+oC+yCR2+FV1h1b4FXQ1lQ9jb8Hs2Cc1DjM78KNix99ghriLSDuOfBNXjjCvQCDsHQH/bThibAHuOKlMzeHOjn8RR/xJyFLy4yKVyoBNZAT+jcNLhRNtyVn7Z0AnZY9MfWGHgyXBlk9g602aGYqNaBq7Cpny78avm+qEJwGxxEnN/new1JMkwmPMCAj6Zng7iTLqxtxJVIQsxwmYuStJCp0PEWOPpmHyKMy4RIMQ6pI5YN4m42hnbHZOqnakL0ggqLoygtgQJfL4A7xSXw6w+U/+Fa13Fr+ek0IQbBJVhsct0t28mqharexkyUuFdpfDahuLX8tLVyNb0uzeDjbDPn2VJlOqhICljZVyzFbWp8Un46WSGkADwGfS302QVHrZRpl1FXilvLT+sJIQXNGeiOWcVfcaAyGx8cLL0mCZFhYakRt5af1hOiGLNFHGY7GQ54hRsdGgkhG0DrNF7+RJOdy1ewqRS3lp/WEyLOM1J2Ay/AaMT9p6yUk9Ycza+TEg0NlOPudD9N2mev/6RPbvDJ4SQKH6wAAAC6dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+MzwvbW4+PG1pPng8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MTwvbW4+PC9tYXRoPlD08DkAAAAASUVORK5CYII=)
Maths-General
Maths-
Rewrite the equation as a system of equations, and then use a graph to solve.
![4 x squared equals 2 x minus 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAARCAYAAABU3BvXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAbFJREFUeNpjYKAd+A/Fv4D4KBCrMIwCugImIM4C4nOjQTEw4MdoENAf2APxwdFgIAx8oOUzNYAktIxXooE7rYF4DRB/gtYlF4A4ehCE3388GCfgAeJrVAp4NSDeAg18WgBQLoqEuhkEtKCRHDkIAp5kMBOIk6kQ8KDA3gbEfHT2tDwQXxpqAQ/KunsJaAZFSgcW8WaoHAyAAl1jEFXkxLqb7gHPBk0p8kRoBjUNxZH4iUA8hYhyjpwy8T+JHrGEFjfkupvuAQ9KDTlEavYA4j4o2wUplww04ADik9CcO5DuhnUcP0FzfhFSPYQC9LCkEkKxthvaTAS1JIQHQaALAvEGIHajorspzYksQGwMxLVAfANb0XsSS5eekKEF0FjVo3HzixgPKkEDnZhhCWq6mxTghq0vQ6qnYe3nvkHQdAOlotlAzEVCu3+g3P2D2FSIK3VtgnoUVG6dGcCiBlRRroJmaQYicsVAulsHiO+SG/Ci0MpCGK2Xu3iAAn4LkU1Wert7HbR1xQTFHtBADyIn4NmgBkpjUbscavhg7JoPhLtDgfgWEP8B4nfQXGk6OhI1CAAAomSUm+N+KuwAAACjdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjQ8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz49PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjwvbWF0aD6qXGPlAAAAAElFTkSuQmCC)
Rewrite the equation as a system of equations, and then use a graph to solve.
![4 x squared equals 2 x minus 5](data:image/png;base64,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)
Maths-General
Maths-
Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?
Find the simple interest on Rs. 8000 at 16 % per annum for 9 months?
Maths-General
Maths-
The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?
The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,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)
y = 2x + 5
Find the solution of the system of equations.
![y equals 2 x squared plus 5 x minus 30](data:image/png;base64,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)
y = 2x + 5
Maths-General
General
Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”
Format the sentence into converts Spanish grammar.
"My wife buys a new television for my father”
GeneralGeneral
General
Find the helping Verbs and Action Verbs in the following sentences.
Find the helping Verbs and Action Verbs in the following sentences.
GeneralGeneral
Maths-
If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?
If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Find the solution of the system of equations.
![y equals 3 x squared plus 2 x plus 1](data:image/png;base64,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)
![y equals 2 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAATCAYAAABbV8lLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAArNJREFUeNrtWVFkW1EYvq6ImBgTUbOHEVUzE2NPNVVhKqaqQsweaqYvtYe571V9qFFVMTOjpmamStUeKmLMTMzUmJmqqjB72EPlpQ81EVHS/+dLnZ6dG0nOPbnLdT8+7jn3JPfP+f/z/f9/Y1n/L5pgg/iVOGyFCCRs4hPij3Argo16uAXBxTixHG5DMHEVOThl6PsvEV8Q/0IlPhCv+fybM8QSsQabKsTnxIRi7WXiK+I3cA1zA4ERYhFONoV14jNihBglLmOj/MRnYg72tHAbwSfjE3FKGE9ibiBObqnHaGxq5HYblbupzkAHJ9I4D/WRwaf9oRzFDxQLHUS3l5jFKZGxhHstsHNv9GEjWZrjkoP/aNhtysGcog6luW3ihIvEb4sTj4gritxUcdH9ZgdsB255hoTxY+LLDp5hwsF8Ap4K41HiqobdXjt4CM9hX9yX7h1LMt4Cz1XFCf7glrRokbhgSKqyxAKu7xnIGd1sZBqS3EClfkQcM2R3t0Eq0lGsOW3z+Qtphk/pvjBOEn8RYwZz7Ee0Pz9dVMLS2IxOT/914gbyfesk3MFvT3tgt67SMa4Qp1H4jXfh4H/eG9SE64JLxHhpuIMoS/tYzLx3eX4GlazXduvk4Liiuq+6SHRMlmjGFyTyFCLYNnh676IIKMjVXp8dXO/ynq7dulV0XVFkZRXrJuQii/EW/RRL1oxB53IA7aCI46j87oFE97qRB5b6T4ybyMVe263j4DQKLRHcK79WrH2jCkAH7dKeQecm0f4kpMb8nU8OzsHJGSiWjWtWsDkDdndqVxk9bkSw6Te6HdVLEUd4UTNvubzWnYYBU4acG0XOU70G3HSRmn4gj/anAQksYy/8tJur+CLsqcOJk22KsHWs4zpqTerrz8GO3bVCBBYlNPkhAohbkIQQAcMZmiPI9pZHhi0AAACndEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1uPjg8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjMwPC9tbj48L21hdGg+ZI0xqgAAAABJRU5ErkJggg==)
y = 5 - 2x
Find the solution of the system of equations.
![y equals x squared plus 8 x plus 30](data:image/png;base64,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)
y = 5 - 2x
Maths-General
Maths-
At what rate percent per annum will a sum of money double itself in 10 years?
At what rate percent per annum will a sum of money double itself in 10 years?
Maths-General
Maths-
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
Find the solution of the system of equations.
![y equals x squared plus 6 x plus 9](data:image/png;base64,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)
y = 3x
Maths-General
It is not necessary for every set of equation to have solutions. If you graph them and get not intersecting points, then they have no real solutions.
General
Choose the synonyms of 'research'
Choose the synonyms of 'research'
GeneralGeneral