Answer:
B. 
+ 2x³ - 8x² - 22x - 15
Step-by-step explanation:
1. (3x² - 2x - 3)(5x² + 4x +5)
+ 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15
2. Combine like terms
+ 2x³ - 8x² - 22x - 15
48 + (2*13) / 110
PE(MD)(AS)
2 * 13 = 26
48 + 26 / 110
26 / 110 = 0.236..
Rounded = 0.24
48 + 0.24 = 48.24….
??????…
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>
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask
Answer:
(3, 2), (6, 4)
Step-by-step explanation:
Since one end (A) of the segment AB is at the origin, the required points will be 1/3 and 2/3 of the coordinates of B:
(1/3)(9, 6) = (3, 2)
(2/3)(9, 6) = (6, 4)
