Answer: ![\bold{y=7\ \cos\bigg(x-\dfrac{\pi}{4}\bigg)-4}](https://tex.z-dn.net/?f=%5Cbold%7By%3D7%5C%20%5Ccos%5Cbigg%28x-%5Cdfrac%7B%5Cpi%7D%7B4%7D%5Cbigg%29-4%7D)
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A (amplitude) = max - D
- B = Period/2π ---> Period is the distance from max to next max
- C = B · Phase Shift ---> Phase shift is distance from y-axis to max
- D (vertical shift) = (max + min)/2
D = (max + min)/2 = (3 - 11)/3 = -4
A = max - D = 3 - (-4) = 7
Period = 9π/4 - π/4 = 8π/4 = 2π
B = Period/2π = 2π/2π = 1
Phase Shift = π/4 - 0 = π/4
C = B · Phase Shift = 1 · π/4 = π/4
Equation:
y = 7 cos (1·x - π/4) + (-4)
Answer:
7.40
Step-by-step explanation:
7.38, we go to the tenths place and the number after then tenths place five or more u raise the score since its more u change hte score of the 3 to 4 and put a zero in the hundredths place
Answer:125
Step-by-step explanation:
![\bf 7~~,~~\stackrel{7-4}{3}~~,~~\stackrel{3-4}{-1}~~,~~\stackrel{-1-4}{-5}~~,~~\stackrel{-5-4}{-9}~~,~~...](https://tex.z-dn.net/?f=%5Cbf%207~~%2C~~%5Cstackrel%7B7-4%7D%7B3%7D~~%2C~~%5Cstackrel%7B3-4%7D%7B-1%7D~~%2C~~%5Cstackrel%7B-1-4%7D%7B-5%7D~~%2C~~%5Cstackrel%7B-5-4%7D%7B-9%7D~~%2C~~...)
so namely, the "common difference" d = -4, and the first term a₁ = 7.