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g100num [7]
2 years ago
7

What is 4 divided by 1/8

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

32

Step-by-step explanation:

4/(1/8)

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Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

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<h3>Answer:</h3>

See the attached

<h3>Step-by-step explanation:</h3>

When you square the binomial (a -b), you get ...

... (a -b)² = a² -2ab +b²

That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.

The last two selections have negative signs on the constant, so cannot be perfect square trinomials.

The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.

The second selection is the correct one:

... 4a² -20a +25 = (2a +5)²

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