Answer:
x = 0 and x = -2 are solutions of the given rational equation.
Step-by-step explanation:
We must solve the following rational equation:
Now we present the procedure:
1) Given
2) 
Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.
3) 
Distributive property/
4) 
Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property
5) 
Distributive property/
6) 
Result
Now we check the rational equation with each root:
x = 0
x = 0 is a solution of the rational equation.
x = -2
x = -2 is a solution of the rational equation.
Area is not a unit of measure. Foot and Yard are US customary units. Meter is the correct answer.
Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.
= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x = 
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.
Answer: X-intercept is (2,0)
Y-intercept is (0,-2)
Step-by-step explanation:
