Kayden is working two summer jobs, making $19 per hour lifeguarding and making $9 per hour walking dogs. In a given week, he can work no more than 20 total hours and must earn no less than $270. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Kayden spends 15 hours lifeguarding and 3 hours walking dogs

Graph is attached.

Step-by-step explanation:

Given: x represents the number of hours lifeguarding and y represents the number of hours walking dogs.

Kayden is asking $19 per hour lifeguarding and making $9 per hour walking dogs

To find: system of inequalities graphically and one possible solution

Solution:

As Kayden can work no more than 20 total hours,

As Kayden must earn no less than $270,

Graph of both the inequalities are attached.

Red part denotes and blue part denotes

Solution is marked as .

So, Kayden spends 15 hours lifeguarding and 3 hours walking dogs.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph