Solve the problem.A wire 20 feet long is to be cut into two pieces. One piece will be shaped as a square and the other piece will be shaped as an equilateral triangle. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. What is the domain of A?
What will be an ideal response?
A(x) = 
x2 - 
x + 25; {x|0 ? x ? 
}
Mathematics
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Factor using the formula for the sum or difference of two cubes.x3 - 8
A. (x + 8)(x2 - 1) B. (x - 2)(x2 + 2x + 4) C. (x + 2)(x2 - 2x + 4) D. prime
Mathematics
Solve the problem.Find the present value of the deposit. $13,000 at 5% compounded continuously for 10 years. Round to the nearest dollar.
A. $168,645 B. $157,706 C. $417,706 D. $7885
Mathematics
Add or subtract. Then simplify. If a denominator has two or more factors (other than monomials), leave it in factored form. Express the answer using the denominator of the first fraction when applicable.
- 
A. 
B. 
C. 
D. 
Mathematics
Rationalize the denominator. Assume that all variables represent positive real numbers.
A. 
B. 
C. 12
D. 37
Mathematics