Answer:
4/7
Step-by-step explanation:
32/56 = 4/7
Ok first we can split it in two :
and
.
The derivative of
is 3.
For the first part, we use the chain rule :
![[f(g(x))]'=g'(x)f'(g(x))](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Dg%27%28x%29f%27%28g%28x%29%29)
hence
(since the derivative of the exponential is itself) hence
Step-by-step explanation:
domain is the valid interval for the x (input) values for the function.
the range is the valid interval for the y (result) values of the function.
so, we have a function definition and a valid domain interval for x. we therefore try the x values and see what result values they create. and that defines the range.
x = -6
y = 4 - -6 = 4 + 6 = +10
c
x = 2
y = 4 - 2 = +2
x = 7
y = 4 - 7 = -3
we have therefore a range of {-3, 2, 10}
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
12 + 6n <span>≥ 30
Solving for x,
6n </span><span>≥ 30 - 12
</span><span>
6n </span>≥ 18 ; n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices.
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