Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

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)