The graph of the function C(x) = −0.52x2 + 23x + 92 is shown. The function models the production cost, C, in thousands of dollar
s for a candle company to manufacture a candle, where x is the number of candles produced, in thousands:
graph of a parabola opening down passing through points negative 3 and 69 hundredths comma zero, zero comma 92, 6 and 84 hundredths comma 225, 22 and 11 hundredths comma 346 and 33 hundredths, 37 and 39 hundredths comma 225, and 47 and 92 hundredths comma zero
If the company wants to keep its production costs under $225,000, then which constraint is reasonable for the model?
0 ≤ x < 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 47.92
6.84 ≤ x ≤ 37.39
graph of a parabola opening down passing through points negative 3 and 69 hundredths comma zero, zero comma 92, 6 and 84 hundredths comma 225, 22 and 11 hundredths comma 346 and 33 hundredths, 37 and 39 hundredths comma 225, and 47 and 92 hundredths comma zero
If the company wants to keep its production costs under $225,000, then which constraint is reasonable for the model?
0 ≤ x < 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 47.92
6.84 ≤ x ≤ 37.39
2 answers:
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Answer:
Step-by-step explanation:
This is an equation for which you need to solve for the value of the missing angle beta.
sin(15) has a decimal answer that you will find on your calculator. Finding that value makes this equation then
cosβ = .2588190451
Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal. When you hit 2nd then cos, you should see this on your screen:
cos⁻¹ (
After that open parenthesis, enter you decimal then hit the enter button to find the angle. You should get 75, which is Choice B.
Original equation is
So, and
If we compare this equation with the given options, we can easily find that this matches with the last one with P = p/2.
Hence, correct option is .