A satellite television provider charges 39.95 per month for service. On-demand movies can be rented for 3.99 each. Broadcast of special events can be rented for 49.95 each. What is an algebraic expression?

The algebraic expression for the monthly expenses is: monthly expenses = 39.95 + 3.99*movies + 49.95*(special events).

Step-by-step explanation:

In order to create an algebraic expression for this problem we need to take the constant variable, that is the monthly charge for the service and sum it with the parts that vary according to how the user consumes the service, that is if movies or special events are rented. We have the following expression:

monthly expenses = 39.95 + 3.99*movies + 49.95*(special events)

Where movies is the amount of movies he user rented and (special events) is the amount of special events the user rented.

Then the algebraic expression for the total cost of of rental and charges for a month is 39.95 + 3.99·X + 49.95·Y

Step-by-step explanation:

Here we have that the satellite provider charges 39.95 per month for service. Movies on-demand are rented at 3.99 each and special event broadcast are rented at 49.95 each

If the number of movies on-demand rented in a particular month is expressed as X and

The number of special event broadcast rented for the month is expressed as Y

Then the algebraic expression for the total cost of of rental and charges for a month =

39.95 + 3.99·X + 49.95·Y.

g

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b