# Pre-Calculus Quarter 4 Exam – Assignment Online | assignmentsonline.org

Mathematics- Assignment Online | assignmentsonline.org

Pre-Calculus Quarter 4 Exam- Assignment Online | assignmentsonline.org

Assignment Online | assignmentsonline.org

1.

Find the indicated sum. Show your work.

2.

Locate the foci of the ellipse. Show your work.

3.

Solve the system by the substitution method. Show your work.

2y – x = 5

x2 + y2 – 25 = 0

4.

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph

 f(x) = 5x – 3, f(x)

5.

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work.

4x – y + 3z    =   12

x + 4y + 6z    = -32

5x + 3y + 9z    =   20

6.

Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.

x + y + z     =      -5

x – y + 3z    =     -1

4x + y + z    =     -2

7. A woman works out by running and swimming. When she runs, she burns   7 calories per minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336 calories in her workout. Write an inequality that describes the situation. Let x represent the number of minutes running and y the number of minutes swimming. Because x and y must be positive, limit the boarders to quadrant I only. #write essay #research paper 