Please help me!!! What is the sign of (-2)^4 x (-3)^7
1 answer:
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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:
She did not multiply equation 3 in step 2 by the correct value.
Step-by-step explanation:
Given:
In order to solve this, we need to eliminate any one variable and then form a simultaneous equation with the remaining two variables. Then, we nee to solve the simultaneous equation.
Here, Galena is trying to eliminate the variable first.
Step 1: She multiplies equation (3) by 3 and adds it to equation (1)
Let us multiply equation (3) by 3
Now, adding this to equation 1 will cancel out z terms.
Now, she need to make one more equation in .
Step 2: She multiplies equation (3) by -7 and adds it to equation (2)
Multiplying equation (3) by -7 will give,
Now, adding this to equation 2 will not cancel out z terms.
So, she makes mistake in step 2 as the terms are not being cancelled.