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The price of an item is given by p = 2x2 - 100 Find the polynomial that represents the revenue generated from the sale of x items.
Use the Remainder Theorem to determine the remainders (do not divide). Use the Factor Theorem to show that (x-1) is a factor of (2x4-11x3+12x2+x-4).
Solve the following inequality. Express your solution in interval notation. Write each intervals in absolute value notation.
Given F(x)=cubed root of x+5, find functions f and g such that F=f g. Explain the answer.
By traveling only 5 miles per hour faster and putting in one more hour, John covered twice the distance Susan covered.
Solve following for x, expressing answers as compound fractions and integers where appropriate log (5x - 4) - log (5x - 4) = 2
"Suppose for contradiction that there is a largest integer. Let this integer be n...."
A bracelet was marked up $175 from cost, which amounts to a 50% increase. Find the original cost of the bracelet.
A global network connecting millions of computers. More than 100 countries are linked into exchanges of data, news and opinions.
Determine if possible whether f(x)=x^3+3x^2-9x-13 has a zero between a=1 and b=2. (The answer will be either "yes", or "cannot".
You are 5 feet and nine inches tall and your shadow is 5 feet long. The shadow of the tree is 195 feet long. How tall is the tree?
You buy a new piece of equipment for $11,778 and you receive a cash inflow of 2,000 per year for 10years. What is the internal rate of return?
Her brother Bryan starts at 7:45 a.m. on his bicycle, traveling 10 mph faster than Kim.
Fay Ling is not going to pass her second semester math class unless she can supply the missing addends and sums in the following grid.
How far have you traveled after 1 hour? ie. write a linear function that expresss the distance traveled, d, as a function of t.
The population of the U.S. doubles approximately every 100 years. In 1980 the population of the U.S. was 200 million.
Give an example using either completing the square or the quadratic formula and explain each step as if you were teaching.
The company sells lawnmowers for $895 each. The variable cost per lawnmower is $520. The company's monthly fixed costs are $84,500.
Give an example of a polynomial of a degree 2 that satisfies the following two conditions: (1) the coefficient of x^2 is 1 and (2) the polynomial.
Fill in the blank to make a true statement. To solve 4^x =27, we can take the logarithm of each side of the equation to get log (4^x) = log (27).
The band U-2 has concert that starts in 17 minutes and they must all cross a bridge to get there. All four men begin on the same side of the bridge.
Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Pick an earthquake in your region of the world.
3,4,5 are consecutive whole numbers. -13, -12, -11 are consecutive integers. Is it possible to write consecutive rational numbers?
We wonder if our planning can provide the level of service customers will et with one oven and one prep table.
If there were 23 people at a performance and the theater collected $80 from ticket sales, how many children attended the play?