Given the domain -4,0,5 what is the range for 12x+6y=24

The range is -6, 4 , 12.

Step-by-step explanation:

If the domain is -4,0,5, x can only be -4 or 0 or 5.

Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.

Sub x for -4

12x+6y=24

12(-4)+6y=24

-48+6y=24

6y = 72

y = 12

Sub x for 0

12x+6y=24

12(0)+6y=24

6y = 24

y = 4

Sub x for 5

12x+6y=24

12(5)+6y=24

60 + 6y = 24

6y = -36

y = -6

The possible values of y are -6, 4 ,12 which is the range.

In set notation: R = {y|y=-6,4,12}

f-1(x)= cube root of 19x squared/x

step-by-step explanation:

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.