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PSYCHO15rus [73]
3 years ago
5

Let ​ f(x)=x2−3x−4​ . What is the average rate of change from x = 7 to x = 10? Enter your answer in the box.

Mathematics
1 answer:
just olya [345]3 years ago
7 0
Rate of change is like slope. Change in y/ change in x
First we have to solve for the y.
x^2 -3x -4 when x = 7
7^2 -3(7)-4= 24 (7,24)
x^2-3x-4 when x=10
10^2-3(10)-4= 66 (10,66)

(66-24)/(10-7)
42/3 = 14
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3 years ago
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Answer:

20.1\ \text{feet}

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The given relation is

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The length of the portion of the walkway labeled x is 20.1\ \text{feet}.

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3 years ago
Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ
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For this case we must simplify the following expression:

\frac {\frac {2a + 1} {10a-5}} {\frac {10a} {4a ^ 2-1}} =

We apply double C:

\frac {(4a ^ 2-1) (2a + 1)} {10a (10a-5)} =

We apply distributive property in the numerator and we take common factor 5 in the denominator:

\frac {8a ^ 3 + 4a ^ 2-2a-1} {10a (5 (2a-1))} =

We factor the numerator:

\frac {(2a + 1) ^ 2 (2a-1)} {10a (5 (2a-1))} =\\\frac {(2a + 1) ^ 2 (2a-1)} {50a (2a-1)} =

We simplify:

\frac {(2a + 1) ^ 2} {50a}

Answer:

\frac {(2a + 1) ^ 2} {50a}

Option D

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3 years ago
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