Mathematics Homework Solutions

Real-Life Applications of Graping

1) Find data for the years 1985 to 2000 that gives the amount of people in the United States that had HIV/AIDS. You can consider only new cases of the disease each year . (See the above chart for the statistics) Just be sure you clearly indicate what the data represents. Organize this data in a table and submit this informatio ...continues

Applications of Polynomial Functions: Finding Zeroes and Maximizing

f(x)=-x^4+12x^3-58x^2+132x The concentration of a drug, f(x), in parts per million, in a patients's blood x hours after the drug is administered is given by the function. I need to make a graph of the following: a) how many hours after the drug is administered will it be eliminated from the patients's bloodstream b) how ...continues

A Real-life Application of Rational Functions

Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu C(x)=130x ____ 100-x a) sketch the rational function showing only the regions of the curve that are relevant in the context of this problem (ie. an appropriate domain) b) e ...continues

Arrange desk to achieve maximum distance for 5 situations

Mary is 3 supervisor in a large office. The secretaries are constantly talking to each other. Mary 's concerned that this constant jabbering back and forth is causing low efficiency in T.e office. She decides to separate the secretaries by the greatest possible distance within the confines of the office. Your task is to decide ...continues

Calculating the distance an object will travel at a given speed.

Nolan Ryan was famous for pitching a baseball at speeds that exceeded 100 miles per hour. How long would a baseball take to travel 60 feet 6 inches--the distance from the pitcher's rubber to home plate--at a speed of 100 miles per hour?

Algebra: Functions and Graphing

Please see the attached file for the fully formatted problems. Practice Problems DIRECTIONS: Use complete sentences for written explanations. Include a detailed description of how you use the graph to answer the question. 1) Determine the inverse of the function . 2) Determine fog(x) and gof(x) for . Show ALL steps. ...continues

Graphing Regions: Constraints and Corners

Sketch the region bound by the constraints and identify the corners. 2x + 3y is < or = 6 5x + 2y is < or = 10 x is > or = 0 y is > or = 0

How to calculate the length of the rope to which the goat is attached?

A zero dimensional goat is attached by a rope to a point on the perimeter of a circular field (two dimensional) How long should the rope be (in terms of the radius of the field)so the goat can reach and graze exactly half of the grass of the field.

Calculate velocity using functions.

You drop a ball from the top of a 5 story building onto the sidewalk 70 feet below. -What is the initial velocity of the ball? -Determine a function for the height of the ball t seconds after it's released. -How long will the ball be in air before it hits the ground?

Linear programming: Maximization

You are a woodworker who makes tables and chairs. Each table requires $80 in materials, 4 hrs of labor and earns $70 profit. Each chair requires $80 in materials, 8 hrs of labor, and earns $120 profit. This week you have $960 cash for materials, and 64hrs of labor available. What should you plan to build to maximize your profit ...continues

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