Answer:
Kahn academy works great with this stuff
Step-by-step explanation:
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>
I’m saying (x+2) if you factor the denominators
Answer:
find the bottom angle of the triangle on the right side.
180 - 92 = 88
Now find x
88+36 = 124
180-124 = <u>56 = x</u>
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Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
Answer:
2976 in³
Step-by-step explanation:
Stool volume = upper smaller prism + Lower bigger prism
Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976
check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976
