Please help i will give brainliest :/

Area of grassy space is x² - 13x + 23

Step-by-step explanation:

The area of the grassy space is equal to the difference between the area of the entire yard and the area of the pool

∵ The area of the entire yard = 3x² - 14x - 5

∵ The area of the pool = (x - 4)(2x + 7)

- Lets simplify the area of the pool by multiplying the brackets

∵ (x - 4)(2x + 7) = (x)(2x) + (x)(7) + -4(2x) + -4(7)

∴ (x - 4)(2x + 7) = 2x² + 7x + (-8x) + (-28)

- Add the like terms in the right hand side

∴ (x - 4)(2x + 7) = 2x² - x - 28

Now lets find the difference between the area of the entire yard and the area of the pool to find the area of the grassy space

∵ Area of grassy space = (3x² - 14x - 5) - (2x² - x - 28)

- Multiply all the terms of the second bracket by (-)

∴ Area of grassy space = 3x² - 14x - 5 - 2x² + x + 28

- Add the like terms

∴ Area of grassy space = (3x² - 2x²) + (-14x + x) + (-5 + 28)

∴ Area of grassy space = x² + (-13x) + 23

∴ Area of grassy space = x² - 13x + 23

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

table 3 represents a direct variation function. : )