Answer:
D
Step-by-step explanation:
slope = rise / run
slope = (5 - 3) / (-2 - 2)
slope = 2 / -4
slope = -2 / 4
slope = -1/2
Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
-5(x+7)<-10
-5x-35<-10
+35. +35
-4x<25
both divided by-4
x> -6.25
i flipped the sign because I divided with a negative number. and I hope you can make -6.25 into a fraction, I can't because I don't have a calculator with me :(
