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w^2+6w+8
5x^2+ 500
2h^2+7h+3
For the problems on pages 345 and 346, factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you go. Discuss any particular challenges those particular polynomials posed for the factoring.
Each student at State University has a student I.D. number with a specific pattern: The ID begins with one of these letters: {A, B, C, D, E}, which is followed by a four-digit number,
A light bulb manufacturer knows that 0.08% of all bulbs manufactured are defective. A testing machine is 98% effective. If a randomly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
What is the value of y in the parallelogram below? If necessary, round your answer to two decimal places
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Find the value of theta that maximizes g(theta) and find the maximum value. Write the directional derivative at P as a function of theta; call this function g(theta).
Graph the function and determine its domain and range. Choose the correct graph of the function.
a water trough is 8 m long and its cross-section is an isoscelestriangle which is 30 cm wide at the top and the height
What is the weight of the copper?
Together the washer and dryer cost 699plus the 8.25% sale tax. Sara knew that her tax refund from the IRS would be 1,000 so she bought the washer and dryer confident that she could pay off the balance within the 90 days.
Find the volume of the tank. Find the depth of the water in the tank if it is 3/4 full (by volume) and the truck is on level ground.
A matrix A is said to be skew-symmetric if A^T = -A. Show that any square matrix can be represented as a sum of a symmetric matrix and a skew-symmetric matrix.
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
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