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fgiga [73]
3 years ago
8

Two functions f and g represent the profit of two companies, in millions of dollars, about 13 years after they went into busines

s. Their observed profits for a small time period x are shown in the table. Which is the closest approximation of the time where the two companies have equal profit or loss?
13.253 years

2.3435 years

13.256 years

0.1207 years

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

13.253 is correct

Step-by-step explanation:

This table shows 0.1203 and 0.1212 having the most correlation since they are the closest to each other which means 13.253 hours is the closest.

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Which of the following is a solution to sin x/2 = sqrt3/2 ?
Vera_Pavlovna [14]

Answer:

A. 60 degrees

Step-by-step explanation:

Solution to sin(x/2)=(\sqrt{3}/2)

By looking at this equation, I can identify that the answer must be within the first quadrant since the numerator and denominator are both positive.

Since it is in the first quadrant, the range of the value of the answer must be between 0 degrees less than or equal to x less than or equal to 90 degrees.

I can also identify that this is a 30, 60, 90 degree triangle because it has a \sqrt{3} and 2 as the numerator and denominator; in this case this tells us that we are dealing with a 30, 60, 90 degree triangle because that is the only triangle with those 2 respective sides.

Once identifying those two pieces of information, we can then determine the answer.

Since sin is equal Opposite/Hypotenuse, we can then substitute the sides of the triangle (\sqrt{3}, 2) to find the angle (unknown).

So the equation would look like this,

Sinx/2=\sqrt{3}/2 (\sqrt{3} representing the opposite side of the angle; 2 representing the Hypotenuse of the triangle)

We can then conclude that 60 degrees is the unknown angle, due to the nature of a 30 60 90 degree triangle.

*Use the attachment for reference

Therefore, the answer, 60 degrees, is a solution to the equation "sin(x/2)=(\sqrt{3}/2)"

3 0
3 years ago
3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 8
OLEGan [10]

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

Solution,

At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

8 0
2 years ago
ANSWER ASAP FOR BRAINIEST AND 100 POINT ASAP<br> Find the value of x in the triangle.
deff fn [24]

The total measure of all the angles in a triangle is 180°.

Since there is already a 90° angle, the other 2 angles must also add up to 90°.

The only answer that fits is x = 9.

Check:

9x7 = 63°

3x9 = 27°

Add up = 90°

:)

8 0
2 years ago
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rewona [7]
Here is my work for the problem. Hope this helps!

5 0
3 years ago
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WARRIOR [948]

f is given as -3

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replace x with -3 and calculate:

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The answer is -14.

6 0
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