Problem 46
Write each statement using symbols. The product of 2 and \(x\) is the product of 4 and \(6 .\)
Problem 47
Add, subtract, or multiply, as indicated. Express your answer as a single polynomial in standard form. $$ (x+1)\left(x^{2}+2 x-4\right) $$
Problem 47
Perform the indicated operation and simplify the result. Leave your answer in factored form. $$ \frac{7}{x-3}-\frac{3}{x+1} $$
Problem 47
Write each statement using symbols. The difference \(x\) less 2 equals \(6 .\)
Problem 52
A circular swimming pool that is 20 feet in diameter is enclosed by a wooden deck that is 3 feet wide. What is the area of the deck? How much fence is required to enclose the deck?
Problem 52
Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form. $$ (3 x+1)(2 x+1) $$
Problem 53
Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form. $$ (x-4)(x+2) $$
Problem 55
In Problems 55-57, use the facts that the radius of Earth is 3960 miles and 1 mile \(=5280\) feet. The conning tower of the U.S.S. Silversides, a World War II submarine now permanently stationed in Muskegon, Michigan, is approximately 20 feet above sea level. How far can you see from the conning tower?
Problem 61
Evaluate each expression. $$ 4 \cdot(9+5)-6 \cdot 7+3 $$
Problem 63
Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form. $$ (x-2 y)(x+y) $$