Acarwash charges $8 per car and can wash at most 10 cars each hour. the amount the carwash earns in an hour depends on the number of cars washed. what is the domain of this relation?

The domain is all real numbers greater than zero car and less than or equal to 8 cars

Step-by-step explanation:

Let

x ------> the number of cars in an hour

y ----> amount that the car wash earns in an hour

we know that

The amount that the car wash earns in an hour is equal to multiply the number of cars by the charge per car

-----> equation A

Remember that the word "at most" is equal to "less than or equal to"

so

----> inequality B

therefore

The domain is the interval ------> [0,10]  (the number of cars cannot be a negative number)

The domain is all real numbers greater than zero car and less than or equal to 8 cars

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

a mantle plume is an upwelling of abnormally hot rock within the earth's mantle. as the heads of mantle plumes can partly melt when they reach shallow depths, they are thought to be the cause of volcanic centers known as hotspots and probably also to have caused flood basalts.

step-by-step explanation: