Match each function with its domain

Step-by-step explanation:

To have all the function are defined, all the values in the square root must be ≥ 0 and the value in the cubic can be all real number

1. s(x) = <=> x ≥ 0

2. n(x) = <=> x belongs to all real number

3. z(x) = <=> x-2 ≥ 0 <=> x ≥ 2

4. q(x) =   <=> 2 -x ≥ 0 <=> x ≤ 2

5. h(x) = <=> 2+x ≥ 0  <=> x ≥  -2

6. v(x) = <=> = -x ≥ 0 <=> x ≤ 0

Hope it will find you well.

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.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11