\(\displaystyle{6}{\left({x}^{{4}}+{2}{x}^{{2}}\right)}\)

\(\displaystyle{6}{x}^{{2}}{\left({x}^{{2}}+{2}\right)}\)

\(\displaystyle{6}{x}^{{2}}{\left({x}^{{2}}+{2}\right)}\)

Question

asked 2020-12-02

A manager estimates a band's profit p for a concert by using the function p(t)=-200t^2+2500t-c, where t is the price per ticket and c is the band's operation cost. The table shows the band's operating cost at three different concert locations. What range of ticket prices should the band charge at each location in order to make a profit of at least $1000 at each concert?

Band's Costs

Location Operating Cost

Freemont Park $900

Saltillo Plaza $1500

Riverside Walk $2500

Band's Costs

Location Operating Cost

Freemont Park $900

Saltillo Plaza $1500

Riverside Walk $2500

asked 2021-02-03

The factored form of a quadratic function is f(x)=(x‒p)(x‒q). The standard form of a quadratic function is \(\displaystyle{f{{\left({x}\right)}}}={a}{x}^{{2}}+{b}{x}+{c}\). The factored form for a quadratic function tells us the x-intercepts of the quadratic function, while the standard form for a quadratic function tells us the y-intercept of the quadratic function.

Answer the following question:

If p=2 and q=‒3, use what you have learned about multiplying polynomials to

- write the factored form of the quadratic function f(x)

- write the standard form for the quadratic function f(x)

Answer the following question:

If p=2 and q=‒3, use what you have learned about multiplying polynomials to

- write the factored form of the quadratic function f(x)

- write the standard form for the quadratic function f(x)

asked 2020-12-06

For what values of m does the graph of \(\displaystyle{y}={3}{x}^{{2}}+{7}{x}+{m}\) have two x-intercepts

asked 2021-02-13

Identify the vertex, complete the table and graph \(\displaystyle{g{{\left({x}\right)}}}={\left({x}−{4}\right)}^{{2}}−{5}.\)

asked 2021-03-01

A parabola has equation \(\displaystyle{y}={4}{x}²+{x}+{c}\). One x-intercept is -3. What is the value of c?

asked 2020-10-25

What is the product of a + bi and a - bi where a and b are real numbers, \(\displaystyle{a}≠{0}\), and \(\displaystyle{b}≠{0}\)? Classify the product as a real or an imaginary number. Explain.

asked 2021-03-12

What is the degree of a quadratic function f? What is the standard form of a quadratic function? How do you put a quadratic function into standard form?

asked 2020-12-03

what polynomial can be added to \(\displaystyle{x}^{{{2}}}+{5}{x}+{1}\) to get a sum of \(\displaystyle{4}{x}^{{{2}}}-{3}\)

asked 2021-01-06

What is a quadratic equation in standard form with rational coefficients that has a root of 5 + 4i?

asked 2020-10-18

Solve each equation.

\(\displaystyle{\left({x}+{5}\right)}^{{2}}−{4}={12}\), square roots

\(\displaystyle{x}^{{2}}−{4}{x}+{4}={0}\), completing the square

\(\displaystyle{\left({x}+{5}\right)}^{{2}}−{4}={12}\), square roots

\(\displaystyle{x}^{{2}}−{4}{x}+{4}={0}\), completing the square