Answer: A is 22.
B is 20.
Step-by-step explanation: You add up the outside of the shape.
After multiplying each side of the equation by the LCD, the result will be
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)
Then simplify and move all expression the the left of equal sign
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)
2x² - 2x - 12 = x² - 6x + 4x² + 24x
2x² - x² - 4x² -2x + 6x - 24x - 12 = 0
-3x² -20x - 12 = 0
Multiply each side by -1
-3x² -20x - 12 = 0
3x² + 20x + 12 = 0
The answer is third option
<span>A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.
let x = gallons of gas they will use
y = distance traveled
x = y/20
x = 1058/20 = 52.9 gallons of gas
B. Write and solve an algebraic equation to find out how many miles they will travel.
</span>let x = distance traveled
y = gallons of gas used
x = 20y
x = 20(52.9)
x = 1058 miles
Hope this helps. Have a nice day.