Answer:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Step-by-step explanation:
We need to find mistake make in work below:
The mistake here is when we have even power, the negative sign gets positive i.e 
if m is even
so, in our case it would be:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
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
The answer for this problem is B
Answer:
Student 1.
Step-by-step explanation:
Okay, for this one, for it to be linear, the x has to be adding or subtracting the same amount each time (same goes for y). You have to remember that the x and y do not correspond, only the sides themselves. As you can tell, Student 1 goes up by 1 on the x side each time, and on the y side, it goes up by 5 each time. The other graphs don't have linear equations. I hope this helped, if you need me to evaluate more, just ask!
Okay well here is the easy way: STEP 1. convert your percentage to a decimal 40%=.4 STEP 2. multiply 30 by the decimal: 30*.4=12. ANSWER: 40% OF 30 IS 12
