Answer:
draw a graph and plot the points to make it linear
Step-by-step explanation:
Answer:
h = 1/5
Step-by-step explanation:
The formula to find the volume of this prism is b × w × h (base × width × height). Since you are given the volume, you can divide the volume by the other two dimensions to find the height.
V = b × w × h
1/100 = 1/4 × 1/5 × h
1/100 ÷ 1/4 ÷ 1/5 = h
h = 1/5
Answer:
x=13
Step-by-step explanation:
ok so let x+y=22
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x and y are the 2 unkown Number
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x-y=4
their difference is 4
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add both equations
(x+y=22)
+(x-y=4)
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y's cancel out
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2x=26
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x=13
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>
It would be A x=1/2 i hope this helped