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liraira [26]
3 years ago
10

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. What is the function written in vertex form?

Mathematics
1 answer:
pychu [463]3 years ago
4 0
F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80
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What makes a square a square <br> why isn't a rectangle?
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Help. How to solve this equation.
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Step-by-step explanation:

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Find the equation of the line with a slope of 1/5 that passes through the point (10,9).
IRINA_888 [86]

Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

  • y=\frac{1}{5}x+7

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

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  • (x₁, y₁) is the point

substituting the values m = 1/5 and the point (10, 9) in the equation

y-y_1=m\left(x-x_1\right)

y-9=\frac{1}{5}\left(x-10\right)

Add 9 to both sides

y-9+9=\frac{1}{5}\left(x-10\right)+9

y=\frac{1}{5}x-2+9

y=\frac{1}{5}x+7

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

  • y=\frac{1}{5}x+7
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