Answer:
Step-by-step explanation:
P(x) = R(x) - C(x)
Where,
P(x) = Total profit
R(x) = Total revenue
C(x) = Total cost
R(x)equals150.97 x minus 0.3 x squared
R(x) = 150.97x - 0.3x^2
Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
C(x) = 4529.10 + 0.5x^2
P(x) = R(x) - C(x)
= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)
= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2
= 150.97x - 0.8x^2 - 4529.10
P(x) = -0.8x^2 + 150.97x - 4529.10
I hope this helps. X is equal to 4 and -9
The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given
Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known
Here, if we use cos x =
we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star
Note: cos values for each x are definite.
If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.