Jesse wants to write a function to represent the graph. he says that the period of the graph is triple that of sin x and that the equation of the graph is f (x) 3sin x. why is he incorrect?

C

Step-by-step explanation:

Jesse says that the period of the graph is triple that of sin x. He is correct stating this. But he is incorrect stating that the equation of the graph is f (x) 3sin x, because the graph of the function f(x)=3sin x has an amplitude 3 whereas the graph of the function y=sin x has an amplitude 1.

A. The period of the function y=sin x is 2π and the period of the function with given graph is 6π. Thus, this option is false because 6π is not doubled 2π.

B. The period of the function y=sin x is 2π, so the frequence of its graph is triple that of given function. Since this statement is inverse to the option B, this option is false.

C. The period of the function f(x)=sin x/3 is so this option is true.

D. False, see explanation above.

ok

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: