Given f(x)=4x^3-3x^2+10 use the remainder theorem to find f(-2)

1 answer:

ozzi4 years ago

8 0

To do this, you would need to use synthetic division.

-2 | 4 -3 10
-8 22
4 -11 32

Your reminder would be 32.

Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!

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Please help I will mark brainlist if correct

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Equation
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$y - 9 = - \dfrac{1}{2} (x + 2)$

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Rearrange the equation
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$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

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slope of the perpendicular line
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slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

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Substitute slope into equation y = mx + c
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y = 2x + c

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Find y-intercept
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y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

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Substitute y-intercept into the equation y = 2x + c
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y = 2x + 4

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Answer: y = 2x + 4
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3 years ago

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Elden [556K]

If we take the perimeter of the park as being equivalent to the distance that Anwar walks, then we can calculate the number of blocks he walks and then multiply this by the width of each block, thus:

Number of blocks walked = 1 + 2 + 2 + 1 + 1 + 1 = 8
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(You could also draw a diagram to help present this in a visual way but it is not necessary)

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