Joanne works two jobs to pay for college. she tutors for $25 per hour and also works as a receptionist for $12 per hour. due to her class and study schedule, joanne is only able to work up to 25 hours per week but must earn at least $200 per week. if t represents the number of hours joanne tutors and r represents the number of hours she works as a receptionist, which system of inequalities represents this scenario? t + r greater than or equal to 25 25t + 12r = 200 t + r less than or equal to 25 25t + 12r less than or equal to 200 t + r less than or equal to 25 25t + 12r greater than or equal to 200 none of the systems shown represent this scenario

Step-by-step explanation:

Let t represents the number of hours Joanne tutors .

Let r represents the number of hours she works as a receptionist.

We are given that Joanne is only able to work up to 25 hours per week

So, inequality becomes:

She earns in 1 hour for tutoring = $25

So, She earns in t hour for tutoring = $25t

She earns in 1 hour being receptionist = $12

So, She earns in r hour for receptionist  = $12r

Now we are given that she must earn at least $200 per week

So,  inequality becomes:

So,  system of inequalities represents this scenario:

So, Option C is correct.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

true

explanation: