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?

... o c=3ejπ/4+4e−jπ/2 2. Difference Equations: Solve the following difference equation using recursion by hand (for n=0 to n=4) o y[n] + 0.5y[n-1] = 2x[n-1]; x ...

... The systems of equations and Laplace transform systems of equations are examined ... Find the equation of motion if the mass is driven by an external force of 2cos5t ...

... 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 ...

... Difference: In translate part we convert the given word problem into equations, in the solve part we solve the equation which we have obtained before. ...

...equations treating yd as another input. c) Now, pick a vector k=[k,,k2,k3] such that if u=-kx, the new state will have roots of the characteristic equation at ...

... define the constant: (1.13) From the boundary conditions we get conditions for the spatial equations namely: (1.14) And: (1.15) Note that equation (1.11) and ...

... 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 ...

Equations. 1.The equation C=mx+b can be used to model the monthly cost, C, of a cell phone plan where b is the flat monthly cost, m represents the cost in ...

... set up fee, and the monthly hanger rental is $800; write an equation for the ... 6. Graph the equations on the same graph by completing the tables and plotting the ...