The answer is highlighted and I put the work for checking the answer at the bottom
Answer: D
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
Given that,
On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi. The it will experience a transformation of
vertical stretch of 2, horizontal compression to a period of pi/2, phase shift of pi units to the right, vertical shift of 1 unit down
Commutative means that you can mix up the numbers, but still have the right answer.
2 x 10 x 7 =
2 x 7 x 10 =
10 x 2 x 7 =
10 x 7 x 2 =
7 x 2 x 10 =
7 x 10 x 2
Hope this helps :)
Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).
The sum of the two integers is 57, so we have:
x+ (x+1)= 57
⇒ (x+ x)+ 1= 57 (associative property)
⇒ 2x+ 1= 57
⇒ 2x= 57-1
⇒ 2x= 56
⇒ x= 56/2
⇒ x= 28
Since x= 28, the first integer is 28, and the second integer is:
x+1= 28+1= 29
The two numbers are 28 and 29.
Hope it helps.
