4 years ago

-4(-4x^2-4+3v^3) solve using the distributive property to remove the parenthesis

1 answer:

5 0

Well you multiply the outside with the inside———- for instance
-4 • -4 = 16^3
-4• -4 = 16
-4 • 3 = -12v^3
So 16^3 + 16 - 12v^3 do the powers & your done

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If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?

JulijaS [17]

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval is simply the slope over the interval because:

$let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}$

We have to know f(6) and f(-4)

$f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4$