It will definitely be a positive
The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
We need to find the expressions that are equivalent to given expression
We solve the expression and check,
A) -30(3 + 2w)
-90 - 60w
Yes it is equivalent.
B) (-9 - 6w)10
-90 - 60w
Yes it is equivalent.
C) -3(30 - 20w)
-90 + 60w
No it is not equivalent.
D)(6 + 4w)15
90 + 60w
No it is not equivalent.
E) -20(4.5 + 3w)
-90 - 60w
Yes it is equivalent.
Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
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The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
......(1)
<h3>What is the general form of a quadratic equation?</h3>
The general form of a quadratic equation is 
with 
.
As we know the minimum value of a quadratic function is 
when a>0
For f(x) a>0 so minimum value of f(x) = 
=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
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To find the perpendicular line, we need to find the negative inverse slope.
y = -1/2x - 2
This line also passes through the point since both have the y intercept / value of -2.
Hope this helps!
Your answer is going to be 2304
