Solve the problem.The profits (in millions) for a company for 8 years was as follows: Find the cubic function of best fit to the data. Round coefficients to the nearest hundredth if necessary.

What will be an ideal response?


y = 0.03x3 - 0.34x2 + 1.31x + 0.18

Mathematics

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Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge $8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.

What will be an ideal response?

Mathematics

Translate to a variable expression. Use n for the variable unless otherwise stated.k added to two

A. k + 2 B. k ÷ 2 C. k - 2 D. 2k

Mathematics

Write the linear function given the pair of inputs and outputs.Write the linear function f if f(2) = 10 and f(4) = 22.

A. f(x) = 6x B. f(x) = x - 2 C. f(x) = 6x + 2 D. f(x) = 6x - 2

Mathematics

Use the binomial theorem to expand the expression.(a - b)6

A. a6 - 6a5b - 15a4b2 - 20a3b3 - 15a2b4 - 6ab5 - b6 B. -a6 + 6a5b - 15a4b2 + 20a3b3 - 15a2b4 + 6ab5 - b6 C. a6 + 6a5b + 15a4b2 + 20a3b3 + 15a2b4 + 6ab5 + b6 D. a6 - 6a5b + 15a4b2 - 20a3b3 + 15a2b4 - 6ab5 + b6

Mathematics