Danny and josh are going to paint josh's neighbor's fence. josh painted the fence by himself two years ago. four years ago, danny painted the same fence and did it 9 hours faster than josh. together, danny and josh finished painting the fence in just 7 hours. write the work equation that will represent this situation. solve the equation to find how long it would take danny and josh to paint the fence if each was doing it by himself. be sure to explain each step. did you have to find the least common denominator? why is a least common denominator important for solving rational polynomial equations?

To solve this problem you must apply the proccedure shown below:

1. You have that Danny painted the fence in 9 hours faster than Josh. Therefore, let's call:

: Josh's time

: Danny's time

2. In one hour Josh did of the painting job and Danny did . Working together they did of the painting job. Therefore, you can write the following equation:

3. Yes, you have to find the least common denominator to solve for and solve the equation:

4. When you solve the quadratic equation, you obtain:

The answer is:

Josh:

Danny:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: