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
20 times 98 is the product of 20 and 98
Thus 20 times 98 = 20 × 98 = 1960
Answer:
-a^5/(8b^7)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
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Answer:
Intersection
Step-by-step explanation:
The intersection of two set A and B is defined as the elements which can be found in both set A and set B.
For instance :
A = {1, 3, 5, 7, 9, 11}
B = {2, 4, 6, 7, 8, 9, 10}
The intersection of the two sets A and B denoted as ;
AnB = {7, 9}