Find the indicated function.A rectangular shipping crate, like the figure shown, has a diagonal measurement from the lower back corner to the upper front corner of 78 in. If the longest side is 4 times the shortest side (the height) and the third side is 6 longer than the shortest, and the height is x, what is a function to represent the volume of the crate?
A. x2(4x + 24)
B. 4x2(6 - x)
C. 4x2(x - 6)
D. 4x2(x + 6)
Answer: D
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Provide an appropriate response.Use the following sets: U = {0, 1, 2, 3, 4, 5}, A = {1, 2, 3}, B = {3, 4, 5} Give the elements in the set A ? B.
A. {3} B. {1, 2, 3, 4, 5} C. {0, 1, 2, 3, 4, 5} D. { }
Solve the problem.Your starting salary for a new job is $30,000 per year. You are offered two options for salary increases: Option 1: an annual increase of $1000 per year or Option2: an annual percentage increase of 4% of your salary.Your salary is a function of the number of years of employment at your job. Write an equation to determine the Salary S after x years on the job for each option.
A. Option 1: S = 30,000 + 1000x Option 2: S = 30,000(1.04)x B. Option 1: S = 30,000x + 1000 Option 2: S = 30,000x1.04 C. Option 1: S = 1000x Option 2: S = (1.04)x D. Option 1: S = 30,000(1000x) Option 2: S = 30,000 + (1.04)x
Use intercepts and a checkpoint to graph the linear function.2x - 10y = 10
A. (0, -5), (1, 0)
B. (0, 5), (-1, 0)
C. (0, -1), (-5, 0)
D. (0, -1), (5, 0)
Use mathematical induction to prove the statement is true for all positive integers n.12 + 42 + 72 + ... + (3n - 2)2 = 
What will be an ideal response?