Need help solving for X

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

X = 2 $\sqrt{13}$

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The cost of producing x units of a product is C dollars, where C is given by the function C = 0.25x2 - 80x + 30000. (See the gra

Nat2105 [25]

From calculus, to determine the maxima or minima of the graph, get the derivative of the equation and equate to zero. So, we derive first the equation of the graph and equate to zero.

C = 0.25x² - 80x + 30000
dC/dx = 0 = 0.5x - 80 + 0
0.5x = 80
x = 80/0.5
x = 160 units

The minimum cost (although not asked) is:

C = 0.25(160)² - 80(160) + 30000
C = $23,600

The answer is 160 units.

4 0

3 years ago

Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$