2. Determine the nature of the solutions of the equation

3. Find and label the vertex and the line of symmetry. Graph the function

4. The width of a rectangle is 3 ft less than the length. The area is 4 ft . Find the length and the width.

5. For the scatterplot, determine which of the following types of functions might be used as a model for the data

7. A student opens a mathematics book to two factoring pages. The product of the page number is 1980. Find the page numbers

8. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and then graph the function.

13. Give exact and approximate solutions to three decimal places.

14. Find the x-intercepts and y-intercepts.

15. Write a quadratic equation having the given numbers as solutions.

-11 and -9

16. The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by , where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?

... 9. Solve the equation T = (3a + b)/2 for a. 10. Factor completely: x³ + 1. For problems 11 13, solve each equation, inequality or system of equations. ...

... b) Explain how to apply substitution in solving a system of equations. Substituting method involves following steps 1)Reduce any of the equation in such a way ...

... DQ3: Which of the following equations is inconsistent with the equation 3x + 4y = 8? 1) 2) 6x + 8y = 16 3) 4) 3x - 4y = 8. - Discussion Questions Day 5. ...

... 7x - 6/5 = 0 h) 7a2 + 8a + 2 = 0 2. If x = 1 and x = -8, then form a quadratic equation. 3. What type of solution do you get for quadratic equations where D < 0 ...

... system of equations: EXAMPLE 1 xyz 4, (1) x 2y z 1, (2) 2x y 2z 1. (3) a) We first use any two of the three equations to get an equation in two vari- ables. ...

... In this book we consider mainly those nonlinear systems which arise from ordinary differential equations. The equation above can be interpreted as an equation...

... V(phi,z). It includes full derivations of the differential equations and the derivation of the expansion coefficients. Laplace equation in cylindrical ...