Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = negative 1.5. It has a maximum at negative 1.5 and a minimum at negative 2.5. It goes through 2 cycles at pi.

Second option: y = 0.5cos(4*(x+pi/2)) - 2

Step-by-step explanation:

From the format of the figure, we can say that is a cosine function (starts in the maximum value and then goes down).

We can write a generic form of a cosine function:

y = a * cos(bx + c) + d

The period of this generic function is 2pi/b.

In this graph, as the cosine completes 2 periods when x = pi, we know that the period is pi/2, so we can find the value of b:

2pi/b = pi/2

b = 4

Then, the amplitude of the cosine function is 2 (goes from 1 to -1), and in this graph, the amplitude is 1 (goes from -1.5 to -2.5), so as we have half the amplitude, we have that a = 0.5

Now, to find d, we know that a cosine usually have a mean value of 0, and in this graph we see that the mean value is -2, so we have that c = -2.

The value of c represents a shift in the graph. In this case, we have a shift of zero from the original cosine, but as the period is pi/2, we can have any multiple value of pi/2 as a value of d (d = -pi/2, d = 0, d = pi/2, ...)

So the answer is the second option:

y = 0.5cos(4*(x+pi/2)) - 2

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:

answer: list the statements and i will follow up!

step-by-step explanation: