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3 years ago

Help asap thank you!!!

Mathematics

1 answer:

katovenus [111]3 years ago

4 0

Hi there! :)

Answer:

The good answer is the top left one, which is:

2x -1(5 - 3x) = 4x +2

2x - 5 + 3x = 4x + 2

Step-by-step explanation:

2x - 1(5 - 3x) = 4x + 2

The correct first step is to distribute the "-1" to the entire parentheses:

-1 × 5 = -5

-1 × -3x = 3x

Once this first step is done, you are left with an equation looking like this:

2x - 5 + 3x = 4x + 2

Which is the top left answer for you!

There you go! I really hope this helped, if there's anything just let me know! :)

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Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

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Given:

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$f(x)=x^2-8x+13$

To find:

The average rate of change of the function over the interval $-1\leq x\leq 6$ .

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$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

We have,

$f(x)=x^2-8x+13$

At $x=-1$ ,

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$f(-1)=1+8+13$

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At $x=6$ ,

$f(6)=(6)^2-8(6)+13$

$f(6)=36-48+13$

$f(6)=1$

Now, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is:

$m=\dfrac{f(6)-f(-1)}{6-(-1)}$

$m=\dfrac{1-22}{7}$

$m=\dfrac{-21}{7}$

$m=-3$

Therefore, the average rate of change of the function f(x) over the interval $-1\leq x\leq 6$ is -3.

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