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A phone company charges a different rate for a local call than a long distance call. A local call costs $0.15 per minute.
Note the polynomial form P(x) = x2 - a. And, note that the two linear factors ( x + a ) ( x - a ), when multiplied together, yield ( x + a ) ( x - a ) = x2 - a.
A student opens a mathematics book to two facing pages. The product of the page numbers is 1980. Find the page numbers for the first and second page.
What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
I recently read an obituary of Paul MacCready, the father of human powered aircraft. He invented the Gossamer Albatross.
How long, to the nearest minute, after the end of the race will the runner's pulse rate be 80 beats per minute?
Conjugate class.If H and K are conjugate subgroups, show that N(H) and N(K) are also conjugate.
A golf ball is hit at an angle a with the horizontal and moves under gravity with air resistance ?v per unit mass, where v is the velocity and ?>0 is a constant
Cystal drove 110 miles at y miles per hour. She then increased her speed by 3 miles per hour and drove an additional 150 miles.
Car rental: Find and solve a system of equations. A major city car rental agency has a total of 2200 cars rented out of 3 locations
What is our discriminant for the quadratic equation x2 + x + 1 = 0? Do we have a solution to our quadratic formula for the case of a negative discriminant?
How many zeros does this expression have? Exhibit those ordered pairs which constitute these zeros.
In each of parts (a) and (b), an operation *is defined over the set of natural numbers.For each operation, determine:
All boulders and rocks (large enough not to be buffeted by air current) appear to take the same time to hit bottom.
Systems of Equations.Solve the following systems of equations using the method outlined
Jack usually mow his lawn in 6 hours. Marilyn can mow the same yard in 3 hours. How much time would it take for them to mow the lawn together?
Cholesky Decomposition.Let k and l be positive integers, and set n:= k + l. Suppose A ? Cnxn has the decomposition
Estimate how much the sea level would rise if this ice cap melted (Source: Department of the Interior Geological survey).
Find a basis B of R such that the B-matrix B of the given linear transformation T is diagonal.
If the length of a rectangle is 3 feet longer than its width and the diagonal is 15 feet, find the dimensions (length & width). Show all work.
If the cost of a cell phone has decreased 400% during the past 10 years, does that correspond to a cost decrease of four times?
How many zeros does this expression have? What is the range of our quadratic expression?
5 outside of the square root symbol then 3 under the square root symbol plus 15 outside of the square root symbol then 3.
Specify a rational expression which yields the flight time, Les Barraques to Dover, for the Bleriot XI as a function of headwind.
How do you factor the sum and difference of two cubes? Which of these three makes the most sense to you? Explain why.