Use an inequality symbol to write the given statement symbolically.2 is less than or equal to -2x.

A. 2 < -2x
B. 2 ? -2x
C. 2 = -2x
D. 2 > -2x


Answer: B

Mathematics

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At age 25 you start to work and are offered two retirement options.

? Retirement option 1: When you retire, you receive a lump sum of $25,000 for each year of service. ? Retirement option 2: When you start to work, the company will deposit $10,000 into an account that pays a yearly compound interest rate of 13%. ? A: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 1. ? B: Write a formula that gives your retirement payment , in dollars, if you retire after t years of service under retirement option 2. ? C: Make a graph that shows the retirement payment for each option over the 40 years of service. ? D: How many years of service will result in the same payment from either option? (You will work more than 1 year.) Round your answer to two decimal places if necessary. ? What will be an ideal response?

Mathematics

Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).y = -x2 + 14x - 45

A. (-5, 0); (9, 0) B. (5, 0); (9, 0) C. (5, 0); (-9, 0) D. (-5, 0); (-9, 0)

Mathematics

Determine where the graph of the function f(x) = ? 6x is concave upward and where it is concave downward. Also, find all inflection points of the function.

What will be an ideal response?

Mathematics

A square wheat field is watered by a center pivot irrigation system with a radius of 20 feet. To the nearest square foot, find the area of the field that will not be irrigated.

Mathematics