The rental rate for a hedge trimmer has a one time fee of $20 plus $30 for each day of the rental. the graph shows points representing the total cost of the rental.

which linear equation, in slope-intercept form, that models the total cost of the rental over time?

a. y = 20x

b. y = 30x + 20

c. y = 30x

d. y = 20x + 30

e. y = 2x + 80

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)