First, subtract both sides by 25:
x^2 - 6x = -25
Because we're completing the square, we subtract both sides by 9:
x^2 - 6x - 9 = -34
(x - 3) = 5.831 (about)
x = 8.831
Answer:

Step-by-step explanation:
We have to find profit
.
This can be easily found using a formula for Profit given the Revenue and Cost.


Given that:


to find P(x) we can simply subtract R(x) by C(x).



and finally, after simplify this equation subtracting 6x by 2.3x.
this is the equation for the profit 

The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
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7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
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8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
Answer:
960
Step-by-step explanation:
LxWxH = v
V = 20x 6 x 8