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andrew-mc [135]
3 years ago
6

What is the domain of (9c+160)/5

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

the domain: no real numbers so its  negative infinity, positive infinity  

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54 is 75% of ______________
Levart [38]

54=3x/4

18=x/4

18*4=x

72=x


6 0
3 years ago
Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
A tank can hold 300 cm^3 of water. How much would Tim have to pay If he has to fill 12 such tanks with water at 25 cents per cm^
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What class is this for?
8 0
3 years ago
Solve the inequality: -1+4y &lt; 31
ser-zykov [4K]
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6 0
3 years ago
Read 2 more answers
Law of reflection. Easy question please help (picture included)
PIT_PIT [208]
<span>Simple. The Law of Reflection states that the angle of incidence is equal to the angle of reflection. These two angles are measured relative the normal line (line perpendicular to the surface). The angle of reflection is therefore 34 degrees also.  However, since the question is asking for the angle relative to the mirror, then the answer is 90-54 = 36</span>° Thus your answer is C. 36°
6 0
3 years ago
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