Answer: the solutions are
x = 3 or x = - 11
Step-by-step explanation:
The given quadratic equation is expressed as
y = 2x² + 16x - 66 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 2
b = 16
c = - 66
Therefore,
x = [- 16 ± √(16² - 4 × 2 × - 66)]/2 × 2
x = [- 16 ± √(256 + 528)]/4
x = [- 16 ± √784]/4
x = (- 16 + 28)/4 or x = (- 16 - 28)/4
x = 12/4 or x = - 44/4
x = 3 or x = - 11
<h3>
Answer: 4.475 gallons</h3>
Work Shown:
17 & 1/8 = 17 + 1/8 = 17 + 0.125 = 17.125
17.125 - 12.65 = 4.475
The area of the room is 
square feet so Michelle's reasoning was incorrect.
Step-by-step explanation:
Step 1:
To calculate the area of the given room, we divide the unknown shape into known shapes.
The room's shape is made of 2 rectangles.
The area of a rectangle is the product of its length and its width.
One rectangle has a length of 10 feet and a width of 
feet.
The other rectangle has a length of 
feet and a width of 
feet.
Step 2:
The area of the first rectangle 
square feet.
The area of the second rectangle 
square feet.
The total area of the room 
square feet.
The area of the room is square feet so Michelle's reasoning was incorrect.
Answer:
48.15
Step-by-step explanation:
We need to determine how much the cost goes up
45 * 7%
45 *.07
3.15
The price will go up 3.15
Add this to the old price to determine the new monthly cost
45+3.15
48.15
PEMDAS is important
Parentheses
Exponents
Multiplication
Division
Adding
Subtracting
There's no parentheses or exponents, so the first is multiplication. 9*3 is 27. Next is division, 6/2 is 3. Next is adding.
15+3+27=45
