Answer:
a. 80
b. 34
Step-by-step explanation:
45 percent of 80 is 36.
85 percent of 40 is 34.
You can find these online, through a Percentages Calculator.
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Answer:3
Step-by-step explanation:
Answer:
f(x) = -(x-3)^2 + 4
Step-by-step explanation:
(h; k) are the coordinates of the vertex.
On the graph are (3, 4), therefore we have:
f(x) = a(x-3)^2 + 4
We have the x- intercept (1,0) -> x=1; y=0.
Substitute them into the equation:
0 = a(1 - 3)^2 + 4
0 = a(-2)^2 + 4
4a + 4 = 0 | -4
4a = -4 |-4
a = -1
So, we have the answer:
f(x) = -(x-3)^2 + 4
Answer:
y = 4 sin(t/2 + 4π/3) − 2
Step-by-step explanation:
General form:
y = a sin(2π/T t)
Given a = 4 and T = 4π:
y = 4 sin(2π/(4π) t)
y = 4 sin(t/2)
Add horizontal shift of -4π/3 and vertical shift of -2:
y = 4 sin(t/2 − (-4π/3)) − 2
y = 4 sin(t/2 + 4π/3) − 2
