Answer:
Step-by-step explanation:
y=-3/2(x+2)(x-4)
=-3/2(x²-4x+2x-8)
=-3/2(x²-2x-8)
=-3/2(x²-2x)-3/2×-8
=-3/2 (x²-2x+1-1)+12
=-3/2(x-1)²+3/2+12
=-3/2(x-1)²+27/2
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
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:
Step-by-step explanation:
<h3>Given</h3>
- f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13
<h3>To find </h3>
<h3>Solution</h3>
<u>Substituting n with -2</u>
- f(-2) =
- (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =
- 16 - 40 + 8 + 10 + 13 =
- 7
