Provide an appropriate response.Suppose the volume of a cube is v(x) = (x - 4)3. Express as a composition of two functions and explain what each function represents.
What will be an ideal response?
Let the length of a side of the cube be represented by the function l(x) = x - 4 and the volume of a cube with sides of length x be represented by the function f(x) = x3. Then v(x) = (x - 4)3 = 3 = f(l(x)).
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Solve.A company borrows $66,500 for 9 years at a simple interest of 7.5% to buy cabinets. Find the total amount paid on the loan.
A. $448,875.00 B. $70,988.75 C. $111,387.50 D. $44,887.50
Solve the problem. Round to the nearest hundredth, if necessary.What is 10% of 400?
A. 0.4 B. 40 C. 4 D. 400
Simplify the rational expression. If the expression is already in simplest form, state this as your answer.
A. -
B. -
C. -
D. simplest form
Solve the problem.A moving firm charges a flat fee of $40 plus $35 per hour. Express the cost of a move as a function of the hours it takes to complete the move.
A. C(x) = 35x + 40 B. C(x) = 35x - 40 C. C(x) = 40x - 35 D. C(x) = 40x + 35