Answer:
3x+2x=total number
Step-by-step explanation:
D is the answer of your question
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>
Answer:
C = 10
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
You have a and b already, a = 6, b = 8
solve this to get
C = 10
Apply the same to the other 2 triangles. C is your longest side!
Answer:
y = 2x+8
Step-by-Step Explanation:
The equation should be in the form of y=mx+b
So you already know it's not A. Also you already know it's not D because the line goes at an angle, if "m"(slope) was 0 then the line would be straight horizontal or straight vertical. So that leaves B and C. And finally you know it's not B because the line is going in the positive direction not negative, so the slope has to be positive, also "b" in the equation is the y-intercept, and that's where the line intersects with the y-axis, and you can see that the line intersects at 8 on the graph. Therefore, the answer is C, y=2x+8
Hope this helps!! :)
