Answer:
B
Step-by-step explanation:
A has 2 it crosses the x axis 2x
B Has 1.
C has 2
D has none since it never touched the x axis
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: The answer is B.
Step-by-step explanation:
First of all, if you just look at the angles, you can already tell that angle A is the right angle, in which you can then cross out A and C. Now you are down to B or D. This was tough but if you remember that the longer leg is square root of 3 times the shorter leg then you can tell that the included angle between the side showing 12 and the side showing 24 is the 60 degree angle. This leaves you to tell that the other angle is 30 degrees.
I hope this helps ;)
