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What is a rational root of x^3 + 3x^2 – 6x – 8 = 0?
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Polynomials
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Johnson furniture company produces inexpensive tables and chairs. Each table takes 4 hrs of carpentry and 2 hrs in the painting and varnishing department. Each chairs requires 3 hrs in carpentry and 1
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Polynomials
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What is the coefficient of x to the power of 2?
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Explain how to solve linear equations.
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Polynomials
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A school district purchases a high-volume printer, copier, and scanner for $25,000. After 10 years, the equipment will have to be replaced. Its value at that time is expected to be $2,000. Write a linear equation giving the value V of the equipment durin
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From a full 50-liter container of a 40% concentration of acid, x liters is removed and replaced with 100% acid. (a) Write the amount of acid in the final mixture as a function of x. (b) Determine the domain and range of the function. (c) Determine x if th
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Polynomials
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Write and solve an equation to find the number of miles you must drive in order to have the same cost of car rentals. Option A: $15 fee plus $0.50 per mile. Option B: $25 fee plus $.25 per mile.
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Polynomials
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You buy a saguaro cactus 9 feet high and it grows at a rate of 0.6 inches each year. Express its height h , in inches, as a function of time t , in years, since the purchase.
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Polynomials
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Find an equation of the line indicated and sketch the graph. Through (2, -4); m = -2
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Polynomials
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Use the remainder theorem and synthetic division to find f(k). k = -4 – 2i; f(x) = x^2 + 5x – 3.
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Math
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The circulation of a newspaper is increasing at a constant rate. Three months ago, the circulation was 3800 units. Today, it is 5000. Let x represent the number of months after today. a) Express the circulation as a function of time and draw the graph. b
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Math
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How do you graph 4x – 2y = 6?
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Polynomials
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Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to S11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the
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In 1968, the US minimum wage was $1.60 per hour. In 1976, the minimum wage was $2.30. Assume that the minimum wage grows according to an exponential model. a) Find the function w(t) which gives the predicted minimum wage t years after 1968. b) Given that
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A gym membership costs $25 to join and $14 each month. Find the cost of a 6 month membership.
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Math
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An appliance repairman charges $50 for service calls plus $25 per hour for labor. Determine how much he would charge for a 3.5-hour service call.
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Polynomials
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Suppose you are at Albertsons (which is 9 miles from your house). At noon you begin walking home at a pace of 1 mile per hour. a. Write an equation in slope-intercept form to model the situation, where d is the distance from your home and x is the time in
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The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all below 40 degrees and at 75 degrees they chirp about 161 times per minute.
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During the first day of training on the job, a new candy maker gets faster at making candies. The number of candies a new employee can produce during an hour can be represented by C(h) = 12h + 28 candies, where h is the number of hours of training.
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Math
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A farmer buys a new tractor for $158,000 and assumes that it will have a trade-in value of $78,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. Find a linear model for the depreciated value
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Polynomials
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A cell phone company charges a monthly fee of $25 plus $0.05 per minute. Find a formula for the monthly charge, C, in dollars, as a function of the number of minutes, m the phone is used during the month.
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Polynomials
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A sub shop purchases a used pizza oven for $875. After 5 years, the oven will have to be replaced. Write a linear equation giving the value V of the equipment during the 5 years it will be in use.
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Math
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A private plane leaves an airport and flies due east at 192 miles per hour. Two hours later, a jet leaves the same airport and flies due east at 960 miles per hour. How long will the private plane fly until it is passed by the jet?
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Polynomials
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Divide using long division: 6x^3 + 19x^2 + x – 10 divided by 2x -1. Divide using synthetic division: 2x^3 + 2x^2 + 10 divided by x + 3.
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Polynomials
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How do you graph 2x + y = 4?
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Math
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Given the equation H = -0.650t+143 where H is the desired heart rate and where t represents age. If Jack is 40 years older than Harry, how much slower is Jack’s desired heart rate, in beats per minute, to achieve weight loss during exercise?
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Math
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Estimate the maximum possible COP of a household air conditioner. Use any reasonable values for the reservoir temperatures.
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Polynomials
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The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold
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Math
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Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 350 anytime minutes plus $0.25 per minute for additional minutes. The following function is used to compute the monthly cost for a subscriber C(x) = 39.99 if 0 is less than x less tha
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Polynomials
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A video rental company offers a plan that includes a membership fee of $6 and charges $2 for every DVD borrowed. They also offer a second plan, that costs $48 per month for unlimited DVD rentals. If a
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Math
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Graph y = x.
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Polynomials
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When a tow truck arrives to tow a car, the cost of the service is given by the linear function y=2x+60, where y is in dollars and x is the number of miles the car is towed. Find and interpret the slope and y-intercept of the linear equation.
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Polynomials
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A 10-g fridge magnet is supposed to hold a 2.0-g paper on the stainless steel fridge door. The normal force of 0.19 N is insufficient to keep them in place, and the paper and magnet accelerate down th
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Math
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A text message plan costs 5 per month plus 0.18 per text. Find the monthly cost for x text messages.
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Math
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It takes Manu twice as long to clean the pool as it takes Ander. If it takes Ander t hour to clean the pool, at what rate does Manu do the job?
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Math
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 14 people, while each carton of clothing will help 6 people. Each 25-cubic-foot box of food weighs 50 pounds and each 55-cubic-foot box of clothing weighs 20 pou
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Math
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Chau is a software salesman. His monthly salary is $2100 plus an additional $50 for every copy of History is Fun he sells. Let S represent his total salary this month (in dollars), and let N represent the number of copies of History is Fun he sells. Write
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Math
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Use synthetic division to divide the polynomial ? 6 x 3 ? 4 + 7 x + 11 by the polynomial x ? 6 Fill in the synthetic division table Therefore, the resulting polynomial is with a remainder of
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Math
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Find the following quotient using long division or synthetic division’. P(x)/x+4 = x^4 + 4x^3 + 2x^2 + 9x + 4/x+4 what is P(-4)?
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Math
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Sales records indicate that if DVD players are priced at $250, then a large store sells an average of 27 units per day. If they are priced at $100, then the store sells an average of 54 units per day. Find and graph the linear demand function for DVD sale
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