Answer the question or provide an explanation.Explain why the function f(x) = (x + 7)3 - 9 is a one-to-one function.

What will be an ideal response?


Answers will vary. Considering the set of ordered pairs associated with f, for each second component there is exactly one first component. If you graph f, note that f passes the horizontal line test.

Mathematics

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?Which of the following is not an equivalent statement to: , where a and b are whole numbers and the quotient is a whole number?

A. ?a divided by b B. ?b/a C. ?for any whole number n,  a = bn D. ?b divides a E. ?a divides b F. ?b is a factor of a

Mathematics

Make the following conversion involving the U.S. and metric systems.42.45 L =  gal

A. 11.0 gal B. 40.3 gal C. 160.5 gal D. 45.0 gal

Mathematics

Provide an appropriate response.Find the amount by which the interest compounded annually is larger than the simple interest. Round to the nearest cent. Use the formula M = P(1 + i)n to find the compound amount.Principal: $6,260 Rate: 6% Years: 18

A. $11,107.36 B. $4,847.36 C. $4,346.56 D. $4,211.56

Mathematics

Solve the problem.Of the coffee makers sold in an appliance store, 6.0% have either a faulty switch or a defective cord, 2.6% have a faulty switch, and 0.8% have both defects. What is the probability that a coffee maker will have a defective cord? Express the answer as a percentage.

A. 4.2% B. 3.4% C. 6.8% D. 6.0%

Mathematics