Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much d

Try this method:
When a graph shifts right, replace 'x' with 'x' minus the number.
When it shifts down, subtract the number from 'y'.
So the final equation becomes: y = 4(x - 5)² - 18.
The answer is A.

Complete question;

A booster club financed pizzas for an end-of-season celebration. The cost was $13 for each pepperoni pizza and $11 for each plain pizza. They purchased a

total of 18 pizzas for the event, totaling $212.

Organize the numbers into an equation that represents this scenario with x being the number of pepperoni pizzas and y being the number of plain pizzas purchased.

Answer:

13x + 11y = 212

Step-by-step explanation:

Two varieties of pizza were purchased: pepperoni and plain. The pepperoni variety cost $13 each while the plain one cost $11 each. In total, they bought 18 pizzas.

The overall expenditure on the pizzas was $212.

total number of pizzas = 18

total amount spent on pizzas = $212

x represents the number of pepperoni pizzas

y represents the number of plain pizzas

The cost of the pepperoni pizzas is derived by multiplying the number of pizzas by their individual price. The same calculation applies for the plain pizzas.

Therefore, by summing the costs of both pizza types, we arrive at the total price for the pizzas.

13x + 11y = 212

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

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⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)

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