The equivalent expression of 
is 
<h3>How to determine the equivalent fraction?</h3>
The fraction is given as:
Take the LCM
Express as products
Evaluate the product
Hence, the equivalent expression of is
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Answer:
what is the problem
Step-by-step explanation:
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
Answer:
1 or -9, depends on the problem, see below.
Step-by-step explanation:
-11--7+5
Two negatives make a positive so our new equation is:
-11+7+5
-11+7 is -4, so:
-4+5
And this leaves us with:
1
But I saw there was a parentheses, was it misplaced or was one not added? If one was not ended to the end, then the answer would be different.
(-11)-((-7)+5)
-7+5 is negative 2, so:
-11-(-2)
Once again, two negatives make a positive, so our new equation would be:
-11+2
Which gets us:
-9
Let x be the shorter side, and y be the longer side
There would be 4 fences along the shorter side, and 2 fences along the longer side
4x + 2y = 800
Rewrite in terms of y:
y = 400 − 2x
The area of the rectangular field is
A = x*y
Replace Y with the equation above:
A = x(400 − 2x)
A = − 2x^2 + 400x
The area is a parabola that opens downward, the maximum area would occur at the parabola vertex.
At the vertex
x = −b/2a
= −400/[2(−2)]
= 100
y = 400 −2x
y = 400 -2(100)
y = 400-200
y = 200
The dimension of the rectangular field that maximize the enclosed area is 100 ft x 200 ft.
