You can work at most 20 hours next week. you need to earn at least $90 to cover your weekly expenses. your dog walking job pays $9.00 per hour and your job as a car wash attendant pays $10.00 per hour. this situation can be represented by a system of inequalities, where x = dog walking hours and y = car washing hours. identify two possible combinations of hours you can work at both jobs. create a system of linear inequalities and solve.

The answer in the procedure

Step-by-step explanation:

Let

x ----> the dog walking hours

y ----> the car washing hours

we know that

The system of linear inequalities is equal to

-----> inequality A

-----> inequality B

Solve the system of inequalities by graphing

The solution is the shaded area

see the attached figure

Two possible combinations of hours are

(10,10) and (0,9)

Verify

For (10,10)

Substitute the value of x and the value of y in both inequalities

Inequality A

 -----> is true

Inequality B

----> is true

therefore

(10,10) is a possible solution

For (0.9)

Substitute the value of x and the value of y in both inequalities

Inequality A

 -----> is true

Inequality B

----> is true

therefore

(0,9) is a possible solution

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the radius is 2 times the diameter.

step-by-step explanation: