Answer: D) 10
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Explanation:
I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.
So,
DE = 2*(MN)
3x-2 = 2*(x+4)
3x-2 = 2x+8
3x-2x = 8+2
x = 10
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
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The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
The sum of two number to equal 95 could equal 90 and 5
-4<em>n</em> ≥ 12 ==> <em>n</em> ≤ -3
<em>n</em> + 5 > 2 ==> <em>n</em> > -3
But <em>n</em> cannot be both less than/equal to -3 AND greater than -3, so there are no integers <em>n</em> that satisfy these inequalities.