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2 years ago

Please Help I Don't Understand!!!

Mathematics

2 answers:

Llana [10]2 years ago

7 0

Answer:

14.5

Step-by-step explanation:

$\frac{2}{7} = \frac{5}{m + 3}$

$2(m + 3) = 7 \times 5$

$2m + 6 = 35$

$2m = 35 - 6$

$2m = 29$

$m = 14.5$

Wittaler [7]2 years ago

7 0

Answer:

m = 14.5

Step-by-step explanation:

$\frac{2}{7}$ = $\frac{5}{m+3}$ ( cross- multiply )

2(m + 3) = 35

2m + 6 = 35 ( subtract 6 from both sides )

2m = 29 ( divide both sides by 2 )

m = 14.5

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Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for $f(x)=x^2-3x-10$ from x = 4 to x = 6

The formula used to find average rate of change is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

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$f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8$

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Now Putting values:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

$Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7$

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

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