Find the other x-intercept for the parabola defined by this equation: y=-4x^2+12x-8

So, to find the x intercepts we first set x to 0 to get:

Then, notice that all the terms are divisible by -4 so we can divide it out to get:

Now, we want to see what two numbers add to -3 and multiply to 2. These two numbers have to both be negative, and the only two factors of 2 are 2 and 1, so our two numbers are -1 and -2. Now, we split -3x into -x and -2x and finish factoring:

Our two x intercepts would be (1,0) and (2,0).

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.