Answer:
Step-by-step explanation:
<u>Given function</u>
<u>Converting to standard form</u>
- y = 2(x - 3)^2 + 7
- y = 2(x^2 - 6x + 9) + 7
- y = 2x^2 - 12x + 18 + 7
- y = 2x^2 - 12x + 25
Answer:
Step-by-step explanation:
Multiply the numbers 2 ( x - 11 ) * 2 = 128
4 ( x - 11 ) = 128
Distribute 4 ( x - 11 ) = 128
4x - 44 = 128
Add 44 to both sides 4x - 44 = 128
4x - 44 + 44 = 128 + 44
Simplify - Add the numbers
4x - 44 + 44 = 128 + 44
4x = 128 + 44
- Add the numbers
4x = 128 + 44
4x = 172
Divide both sides by the same factor 4x = 172
4x/4 = 172/4
Simplify
- Cancel terms that are in both the numerator and denominator
4x/4 = 172/4
x = 172/4
-Divide the numbers
x = 172/4
x = 43
Answer:-43 + 9x = 0
Step-by-step explanation:Simplifying
9x + -43 = 0
Reorder the terms:
-43 + 9x = 0
Solving
-43 + 9x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '43' to each side of the equation.
-43 + 43 + 9x = 0 + 43
Combine like terms: -43 + 43 = 0
0 + 9x = 0 + 43
9x = 0 + 43
Combine like terms: 0 + 43 = 43
9x = 43
Divide each side by '9'.
x = 4.777777778
Simplifying
x = 4.777777778
<span>Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation.
A = 75((125+81)/2)
A = 75(206/2)
A = 75(103)
A = 7725
The area of the field is 7725 square feet.</span>