Chadwick and Angela are getting married and are pricing out events for the reception. They have at most $8,000 to spend on the reception which includes meal package, DJ, and the rental fee. The reception hall requires a flat fee of $600 to reserve the space and the DJ charges $200 per hour for entertainment.

The meal package they choose is $75 per person. Let "x" represent the number of hours for the DJ and "y" represent the number of people (meal packages).

Write an inequality that models this situation.

40 minutes

step-by-step explanation:

add the time and multiply by 2

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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)

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96