Answer:
66
Step-by-step explanation:
Answer:
This describes a translation.
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>
(1)Draw the "y" line . It goes up and down.
<span>Make sure to mark the centimeters or quarter inches with little nobs. </span>
<span>Start at -20 and go to 10 </span>
<span>(2)Draw the "x" line. it goes side to side. </span>
<span>place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. </span>
<span>Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. </span>
<span>(3) rearrange the equation so that y is on one side of "=" and x is on the other side. </span>
<span>Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also </span>
<span>so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. </span>
<span>5x - 4y + 4y + 18 = -18 + 4y + 18 </span>
<span>1.25x + 4.5 = y </span>
<span>(4) now write down on a peace of scrap paper, x=1, y= 5.75, x=2 y= ___ , x=3 y= ___ </span>
<span>(5) remember BEDMAS, and put 1 in the place of x and calculate what y is . </span>
<span>(6) get your ruler , line up x = 1 (ruler is going up and down) and draw a spot on what y = . Get two rulers if you must. </span>
<span>(7) </span>
<span>hey presto, you got your three points on a graph.</span>
