A motion detector tracks an egg as it drops from 10 ft above the ground. The table shows the height at various times.
Time
1. Represent the data using each of the following:
Height
(seconds) (feet)
a. a mapping diagram
0.0
b. ordered pairs
10
0.1
9.8
c. a graph on the coordinate plane
0.2
9.4
0.3
0.4
8.6
7.4
2. What are the domain and range of this relation?

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)