Multiply both sides of the equation by 2.8
P = 1.68
Okay to add 7+3 over and over till you get till 45
f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
G = 2.5
Use inverse operations. 9 / 3.6 = 2.5.
Answer: Choice D
y = -(x - 2)^2 + 7
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Explanation:
The highest point is (2, 7) so this is the vertex.
In general, the vertex is (h, k). We can say that h = 2 and k = 7.
The vertex form
y = a(x-h)^2 + k
updates to
y = a(x-2)^2 + 7
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Note that the graph goes through (0,3) which is the y intercept. Plug those x,y coordinates into the equation above to solve for 'a'
y = a(x-2)^2 + 7
3 = a(0-2)^2 + 7
3 = a(-2)^2 + 7
3 = a(4) + 7
3 = 4a + 7
4a+7 = 3
4a = 3-7
4a = -4
a = -4/4
a = -1
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Therefore, we have
y = a(x-2)^2 + 7
update to
y = -1(x-2)^2 + 7
which is the same as
y = -(x - 2)^2 + 7
and that's why the answer is choice D
