The answer is 30, hope this helps.
Answer:
f(5) = -7
Step-by-step explanation:
If f(x) = -3x + 8, find f(5)
Just plug in x = 5 into the function
f(5) = -3(5) + 8
f(5) = -15 + 8
f(5) = -7
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be
Answer:
- 3
Step-by-step explanation:
Answer: y = 6 cos (2x) + 4
<u>Step-by-step explanation:</u>
A cosine function is expressed as: y = A cos (Bx - C) + D where
- amplitude (A) is the distance from the midline to the max/min.
- B = 2π/P where P is the period
- C/B is the phase shift
- D is the center line (aka midline)
A = Max - Midline
= 10 - 4
= 6
The max to the midpoint is π/4
⇒ 1/4 P = π/4
⇒ P = π
B = 2π/P
= 2π/π
= 2
C = 0 because there is no phase shift
D = 4 (given)
Input A = 6, B = 2, C = 0, and D = 4 into the cosine function:
y = 2 cos (2x - 0) + 4
