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?

... c^2 ∂^2 u / ∂ x^2 = ∂^2 u / ∂ t^2) and the heat equation (c ∂^2 u / ∂ x^2 = ∂ u / ∂ t) are two of the most important equations of physics (c is ...

... a) Using the variables A, B, and C for the number of units of each product, the matrix equation can be set up by looking at three different equations. ...

... ( x, y ) = ( 4, −2 ) Elimination method: We equate the coefficients of one variable in the two equations and by subtracting one equation from the other we ...

... the homogenous equation. Therefore the expressions in the square brackets are zero, and we are left with: (2.5) So we ended up with two equations for : (2.6 ...

Algebra Exercises - Equations and Inequalities. 1) If a < b, then -a > -b Why? 2) What role of operations that applies when you are solving an equation does not ...

Solving Differential Equations. 57. Show that the substitution v = lny transforms the differential equation dy/dx + P(x)y = Q(x)(ylny) into the linear equation...