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
5p-9=2p-12
5p-2p=-12+9
3p=-3
p=1
Answer:
The correct option is;
The graph is a line that rises steeply from left to right and passes through the origin
Step-by-step explanation:
The given equation is y = 110·x
Comparing the given equation to the general equation of a straight line, y = m·x + c
Where;
m = The slope of the straight line graph
c = The y-intercept
We have;
The slope of the given equation, y = 110·x = 110
The y-intercept, which is given by the constant c in the given equation = (0, 0)
Therefore, by the slope of the equation, for each unit increase in x, y increases by 110, therefore, the graph is a straight line that rises steeply and passes through the origin
Answer:
Degree
Step-by-step explanation:
