To use slope formula, we need two ordered pairs. Here, we let one ordered pair be (1980, 119,000) and the other be (2005, 89,000).

\(\text{average rate of change}=\frac{89,000-119,00}{2005-1980}\)

\(=\frac{-30,000}{25}\)

\(=-1,200\)

asked 2021-09-10

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

asked 2021-11-14

Given a cost function C(x) as

\(\displaystyle{C}{\left({x}\right)}={5},{000}+{20}{x}-{\frac{{{1}}}{{{4}}}}{x}^{{2}}\),

calculate the marginal average when x=20, use your result to estimate the total cost when x=21, and calculate the percentage error between this estimate and the actual cost when x=21. Give your answer as a percentage to two decimal places. Do not include the percent symbol in your answer.

\(\displaystyle{C}{\left({x}\right)}={5},{000}+{20}{x}-{\frac{{{1}}}{{{4}}}}{x}^{{2}}\),

calculate the marginal average when x=20, use your result to estimate the total cost when x=21, and calculate the percentage error between this estimate and the actual cost when x=21. Give your answer as a percentage to two decimal places. Do not include the percent symbol in your answer.

asked 2021-09-29

Write the number in two other forms. 119,000,003

asked 2021-09-08

Find two functions f and g such that (f · g)(x) = h(x). (There are many correct answers.) \(\displaystyle{h}{\left({x}\right)}={\left({2}{x}+{1}\right)}^{{{2}}}\)

asked 2021-09-23

Given:

Rectangular: \(A=200m^2\), length=x

Express the P as a function of x"

asked 2021-09-22

Write the polynomial as the product of factors that are irreducible over the rationals, \(\displaystyle{f{{\left({x}\right)}}}={x}^{{4}}+{6}{x}^{{2}}-{27}\)