Expand: (5x - 9)(3x - 8)
You must show your work to receive credit.
When you type your answer, click the algebra keyboard on the right to type x squared.
For the quadratic function below, factor and solve for the roots. Show your factoring work in the sketch box. Type your roots in coordinate form like this: (-2,0)(4,0)
If you need to type a fraction, use the slash key like this: (4/9,0)
Do not type spaces in your answer. Do not use decimals.
For the quadratic function below, factor and solve for the roots. Show your factoring work in the sketch box. Type your roots in coordinate form like this: (-2,0)(4,0)
If you need to type a fraction, use the slash key like this: (4/9,0)
Do not type spaces in your answer. Do not use decimals.
For the quadratic function below, factor and solve for the roots. Show your factoring work in the sketch box. Type your roots in coordinate form like this: (-2,0)(4,0)
If you need to type a fraction, use the slash key like this: (4/9,0)
Do not type spaces in your answer. Do not use decimals.
Calculate the discriminant of the quadratic function below. You must show your work and the value of the discriminant on the sketch box. Then select how many solutions the quadratic has.
Calculate the discriminant of the quadratic function below. You must show your work and the value of the discriminant on the sketch box. Then select how many solutions the quadratic has.
Solve using the Quadratic Formula Calculator:
Simplify:
Simplify:
What are the coordinates for the vertex of
What is the equation for the line of symmetry of
Does the parabola open up or down? Why?
In your written response, answer both of the following questions:
(1) Based on the graph, how do you know this quadratic function only has one solution?
(2) Would the discriminant of the quadratic function be positive, negative, or zero?
True or False: If a parabola has x-intercepts at (-3,0) and (5,0) then the equation for its line of symmetry is x=1.
Sketch on the graph to help you answer the question.
An artist wants to raise money to fund his growing art gallery. He decides to sell portrait paintings. He is trying to determine the best price, x, to sell the portraits for.
His income is
and his expenses are
Find the profit equation and type it below. Use the keyboard on the right to type x-squared. Begin your equation with P(x).
Use your equation from question 15. Graph it on the Desmos graphing calculator. What are the breakeven points (in other words, what portrait prices would cause the artist to break-even?)
Separate your answers with a comma. Round to the nearest hundredth. Make sure to include units in your answer.
Again, use your equation from question 15. Graph it on the Desmos graphing calculator. Answer both questions in your written response:
(1) What should the artist charge for each portrait to maximize his profit?
(2) How much will the maximum profit be?
Round to the nearest hundredth. Make sure to include units in your answer.
Simplify: (-5 + 3i) + (-10 + i)
Simplify: (7 - 6i) - (-2 + 4i)
Simplify: 2i(5 - 8i)