## Question 1 of 20 |
0.0/ 5.0 Points |

Write the partial fraction decomposition of the rational expression.

## Question 2 of 20 |
0.0/ 5.0 Points |

Graph the solution set of the system of inequalities or indicate that the system has no solution.

x ≥ 0

y ≥ 0

3x + 2y ≤ 6

3x + y ≤ 5

## Question 3 of 20 |
0.0/ 5.0 Points |

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x^{2} – y^{2} = 20. The process is repeated and the ship is found to lie on a hyperbolic path described by y^{2} – 2x^{2}= 7. If it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.

A. ( -3, -5) | ||

B. ( 5, 3) | ||

C. ( 3, 5) | ||

D. ( -5, -3) |

## Question 4 of 20 |
5.0/ 5.0 Points |

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

x + y = -8

x – y = 14

A. {( 3, -11)} | ||

B. {( 3, 11)} | ||

C. {(x, y) | x + y = -8} | ||

D. ∅ |

## Question 5 of 20 |
5.0/ 5.0 Points |

Solve the system by the substitution method.

xy = 12

x^{2} + y^{2}= 40

A. {( 2, 6), ( 6, 2), ( 2, -6), ( 6, -2)} | ||

B. {( 2, 6), ( -2, -6), ( 2, -6), ( -2, 6)} | ||

C. {( 2, 6), ( -2, -6), ( 6, 2), ( -6, -2)} | ||

D. {( -2, -6), ( -6, -2), ( -2, 6), ( -6, 2)} |

## Question 6 of 20 |
0.0/ 5.0 Points |

Graph the inequality.

(x-1)^{2} + (y-5)^{2}> 9

## Question 7 of 20 |
0.0/ 5.0 Points |

Graph the solution set of the system of inequalities or indicate that the system has no solution.

y > x^{2}

10x + 6y ≤ 60

## Question 8 of 20 |
0.0/ 5.0 Points |

Solve by the method of your choice.

x^{3} + y = 0

11x^{2}– y = 0

A. {(-1, 1), (-11, 1331)} | ||

B. {(0, 0), (-11, 1331)} | ||

C. {(0, 0), (-11, 121)} | ||

D. {(0, 0), ( 11, -1331)} |

## Question 9 of 20 |
0.0/ 5.0 Points |

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball’s height above the ground, y, after x seconds. Consider the following data:

x, seconds after ball is thrown | y, ball’s height, in feet, above the ground |

1 | 114 |

2 | 146 |

4 | 114 |

Find the quadratic function y = ax^{2}+bx + c whose graph passes through the given points.

A. y = -12x^{2} + 80x + 46 |
||

B. y = -10x^{2} + 60x + 64 |
||

C. y = -16x^{2} + 100x + 30 |
||

D. y = -16x^{2} + 80x + 50 |

## Question 10 of 20 |
0.0/ 5.0 Points |

In a 1-mile race, the winner crosses the finish line 10 feet ahead of the second-place runner and 23 feet ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 feet in 1 mile.)

A. -13.06 ft | ||

B. 13.02 ft | ||

C. 3.01 ft | ||

D. -10.04 ft |

## Question 11 of 20 |
5.0/ 5.0 Points |

Graph the solution set of the system of inequalities or indicate that the system has no solution.

y ≥ 2x – 4

x + 2y ≤ 7

y ≥ -2

x ≤ 1

## Question 12 of 20 |
0.0/ 5.0 Points |

A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 116 hours for prep time, 64 hours for painting, and 110 hours for firing, How many of each can be made?

A. 8 wreaths, 6 trees, 2 sleighs | ||

B. 6 wreaths, 2 trees, 8 sleighs | ||

C. 9 wreaths, 7 trees, 3 sleighs | ||

D. 2 wreaths, 8 trees, 6 sleighs |

## Question 13 of 20 |
5.0/ 5.0 Points |

Ms. Adams received a bonus check for $12,000. She decided to divide the money among three different investments. With some of the money, she purchased a municipal bond paying 5.8% simple interest. She invested twice the amount she paid for the municipal bond in a certificate of deposit paying 4.9% simple interest. Ms. Adams placed the balance of the money in a money market account paying 3.7% simple interest. If Ms. Adams’ total interest for one year was $534, how much was placed in each account?

A. municipal bond: $ 1500 certificate of deposit: $ 3000 money market: $ 7500 | ||

B. municipal bond: $ 2500 certificate of deposit: $ 5000 money market: $ 4500 | ||

C. municipal bond: $ 2000 certificate of deposit: $ 4000 money market: $ 6000 | ||

D. municipal bond: $ 1750 certificate of deposit: $ 3500 money market: $ 6750 |

## Question 14 of 20 |
5.0/ 5.0 Points |

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

Objective Function

z = 21x – 25y

Constraints

0 ≤ x ≤ 5

0 ≤ y ≤ 8

4x + 5y ≤ 30

4x + 3y ≤ 20

A. Maximum: 105; at (5, 0) | ||

B. Maximum: -150; at (0, 6) | ||

C. Maximum: 0; at (0, 0) | ||

D. Maximum: -98.75; at (1.25, 5) |

## Question 15 of 20 |
0.0/ 5.0 Points |

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.

4x – 3y = 6

-12x + 9y = -24

A. {( 3, 4)} | ||

B. | ||

C. {(x, y) | 4x – 3y = 6 } | ||

D. ∅ |

## Question 16 of 20 |
0.0/ 5.0 Points |

Graph the solution set of the system of inequalities or indicate that the system has no solution.

x^{2} + y^{2} ≤ 49

5x + 4y ≤ 20

## Question 17 of 20 |
0.0/ 5.0 Points |

Solve the system by the addition method.

x^{2} – 3y^{2} = 1

3x^{2} + 3y^{2}= 15

A. {( 1, 2), ( -1, 2), ( 1, -2), ( -1, -2)} | ||

B. {( 1, 2), ( -1, -2)} | ||

C. {( 2, 1), ( -2, 1), ( 2, -1), ( -2, -1)} | ||

D. {( 2, 1), ( -2, -1)} |

## Question 18 of 20 |
5.0/ 5.0 Points |

Solve the system by the substitution method.

x^{2} + y^{2} = 113

x + y = 15

A. {( -8, 7), ( -7, 8)} | ||

B. {( 8, -7), ( 7, -8)} | ||

C. {( 8, 7), ( 7, 8)} | ||

D. {( -8, -7), ( -7, -8)} |

## Question 19 of 20 |
5.0/ 5.0 Points |

In the town of Milton Lake, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing. Let x represent the number of years since 1990 and y represent the percentage of women in Milton Lake who smoke. The graph of y against x includes the data points (0, 15.9) and ( 13, 19.67). Let x represent the number of years since 1990 and y represent the percentage of men in Milton Lake who smoke. The graph of y against x includes the data points (0, 29.7) and ( 15, 26.85). Determine when the percentage of women who smoke will be the same as the percentage of men who smoke. Round to the nearest year. What percentage of women and what percentage of men (to the nearest whole percent) will smoke at that time? [Hint: first find the slope-intercept equation of the line that models the percentage, y, of women who smoke x years after 1990 and the slope-intercept equation of the line that models the percentage, y, of men who smoke x years after 1990]

A. 2019; 24% | ||

B. 2021; 24% | ||

C. 2023; 23% | ||

D. 2017; 25% |

## Question 20 of 20 |
0.0/ 5.0 Points |

A flat rectangular piece of aluminum has a perimeter of 70 inches. The length is 11 inches longer than the width. Find the width.

A. 34 inches | ||

B. 35 inches | ||

C. 23 inches | ||

D. 12 inches |

Why Choose Us

Quality Papers

We value our clients. For this reason, we ensure that each paper is written carefully as per the instructions provided by the client. Our editing team also checks all the papers to ensure that they have been completed as per the expectations.

Professional Academic Writers

Over the years, our Acme Homework has managed to secure the most qualified, reliable and experienced team of writers. The company has also ensured continued training and development of the team members to ensure that it keep up with the rising Academic Trends.

Affordable Prices

Our prices are fairly priced in such a way that ensures affordability. Additionally, you can get a free price quotation by clicking on the "Place Order" button.

On-Time delivery

We pay strict attention on deadlines. For this reason, we ensure that all papers are submitted earlier, even before the deadline indicated by the customer. For this reason, the client can go through the work and review everything.

100% Originality

At Essay USA, all papers are plagiarism-free as they are written from scratch. We have taken strict measures to ensure that there is no similarity on all papers and that citations are included as per the standards set.

Customer Support 24/7

Our support team is readily available to provide any guidance/help on our platform at any time of the day/night. Feel free to contact us via the Chat window or support email: support@acmehomework.com.

Try it now!

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

Essay USA has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.

Essays

At Essay USA, we prioritize on all aspects that bring about a good grade such as impeccable grammar, proper structure, zero-plagiarism and conformance to guidelines. Our experienced team of writers will help you completed your essays and other assignments.

Admissions

Admission and Business Papers

Be assured that you’ll definitely get accepted to the Master’s level program at any university once you enter all the details in the order form. We won’t leave you here; we will also help you secure a good position in your aspired workplace by creating an outstanding resume or portfolio once you place an order.

Editing

Editing and Proofreading

Our skilled editing and writing team will help you restructure you paper, paraphrase, correct grammar and replace plagiarized sections on your paper just on time. The service is geared toward eliminating any mistakes and rather enhancing better quality.

Coursework

Technical papers

We have writers in almost all fields including the most technical fields. You don’t have to worry about the complexity of your paper. Simply enter as much details as possible in the place order section.