The factored form of a quadratic equation is y=(2x+1)(x-5), and the standard form is y=2x²-9x-5. which of the following statements accurately describes the graph of y?
a) the x-intercepts are -1 and 5, and the y-intercept is -5.
b) the x-intercepts are -1/2 and 5, and the y-intercept is -5.
c) the x-intercepts are -1/2 and 5, and the y-intercept is 5.
d) the x-intercepts are 1 and -5, and the y-intercept is -5.

B.

Step-by-step explanation:

To find the x intercepts solve for x:

(2x + 1)(x - 5) = 0

x = -1/2 ,  5.

Y-intercept is obtained by  putting x = 0:

y = 2(0)^2 - 9(0)  - 5 = -5.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.