F(x) = -4sin(2x + π) - 5
<u>Amplitude</u>
A = -π
<u>Period</u>
<u>2π</u> = <u>2π</u> = π
B 2
<u>Phase Shift</u>
<u>-C</u> = <u>-π</u> = ≈ 1.57<u>
</u> B 2<u>
</u>
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
Answer: The tailor made 8 complete hats
Step-by-step explanation:
Amount of fabrics available to make hat = 6 2/3 yards
1 hat requires = 5/6 yards
Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat
=(6 2/3) / (5/6)
(20/3) / (5/6)
20/3 x 6/5 = cancelling out, we are left with
4x2= 8 hats
or
(20/3) / (5/6)
6.6666 /0.83333
= 8.00002= 8 hats
Answer:
21x - 9
Step-by-step explanation:
F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2
The answer is D.
