Suppose that the function f ( x ) = 2x + 12 represents the cost to rent x movies amonth from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?

Answer:

1.55 dollars or 155 cents

Step-by-step explanation:

Given :Winslow buys 1.2 pounds of bananas. The bananas cost $1.29 per pound

To Find :   To the nearest cent, how much does Winslow pay for the bananas?

Solution :

Cost of 1 pound of Bananas = $1.29

Cost of 1.2 pounds of bananas =

1 dollar = 100 cents

So, 1.548 dollars = 154.8 cents

Hence  Winslow pay 1.55 dollars or 155 cents for the bananas

At x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

What is a graph?

A graph is a visual representation that shows the relationships between two or more items or values. It typically involves plotting points and connecting them to form a diagram.

To find the point of intersection of the graphs of equations 2x - y = 6 (i) and 5x + 10y = -10  (ii), we can follow these steps:

List out the points that satisfy each equation:

For equation (i):

• When x=6, we have 2(6) - y = 6, which gives us y = 6. So point (6,6) lies on the graph of equation (i).

• When x=0, we have 2(0) - y = 6, which gives us y = -6. So the point (0,-6) lies on the graph of equation (i).

• When x=3, we have 2(3) - y = 6, which gives us y = 0. So point (3,0) lies on the graph of equation (i).

For equation (ii):

• When x=0, we have 5(0) + 10y = -10, which gives us y = -1. So the point (0,-1) lies on the graph of equation (ii).

• When x=2, we have 5(2) + 10y = -10, which gives us y = 0. So point (2,0) lies on the graph of equation (ii).

• When x=4, we have 5(4) + 10y = -10, which gives us y = 1. So point (4,1) lies on the graph of equation (ii).

Plot the points on a graph and join them to get the graph of each equation.

Identify the point(s) of the intersection of the two graphs. From the graph, we see that the two graphs intersect at the point (-2,-2).

Therefore, we can conclude that at x = -2, the graphs of equations 2x - y = 6 and 5x + 10y = -10 intersect at the point (-2,-2).

Learn more about intersecting points of graphs here:

brainly.com/question/1441859

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Answer:

The solution to the equation is: (x,y) = (2,-2) If that helps

Step-by-step explanation:

// Solve equation [1] for the variable  y  

 [1]    y = 2x - 6

// Plug this in for variable  y  in equation [2]

  [2]    5x + 10•(2x-6) = -10

  [2]    25x = 50

// Solve equation [2] for the variable  x  

  [2]    25x = 50  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = 2x-6

// Use the  x  value to solve for  y  

   y = 2(2)-6 = -2  

Solution :

{x,y} = {2,-2}