Answer:
Step-by-step explanation:
If the point Q that is located two over three the distance from point P to point R, then PQ:QR=2:3.
Use formula to find the coordinates of the point Q:
In your case, P(-2,7) and R(1,0), then
Answer:
Step-by-step explanation:
The x intercepts are 0 and
1000 - 2x = 0 given condition
1000 = 2x Divide by 2
500 = x
So the two intercepts are 0,0 and 500,0
The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.
The answer to the B part is completing the square.
r(x) = - 2x^2 + 1000x
r(x) = -2(x^2 - 500x )
1/2 ( 500) = 250
250^2 is what you put inside the bracket's to complete the square.
r(x) = - 2(x^2 - 500x + 250^2) + 2*250^2
r(x) = -2(x - 250)^2 + 2*62500
r(x) = - 2(x - 250)^2 + 125000
They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.
Answer:
C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.
Step-by-step explanation:
-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.
#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:
#Given n=7rs, P=10000, i=6.7%
Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.
Answer:
2x² - 9x - 35
Step-by-step explanation:
f(x) × g(x) = (x - 7)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 5) - 7(2x + 5) ← distribute both parenthesis
= 2x² + 5x - 14x - 35 ← collect like terms
= 2x² - 9x - 35
