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?

1. Determine which of the following are linear equations and which are not linear equations. State the reason for your answer.
(a) x + y = 1000
(b) 3xy + 2y + 15z - 20 = 0
(c) 2xy + 4yz = 8
(d) 2x + 3y 4z = 6.

Solve for x and y in the following two sets of simultaneous equations:
4x-2y = 1 ......(i)
8x-4y = 1 ......(ii)
y = 2x + 3.......(i)
2y - 4x = 6 .....(ii)

Please help me solve the following system of three equations and discribe the methods that are being used to help me understand:
X + Y + Z = 6
2X - Y + 3Z = 8
3X - 2Y - Z = -17
Thank you!

Consider the set of points (x, y, z) defined by the set of equations below:
{ x = 1 - t }
{ y = 2t }
{ z = 1 + t }
where t is a real number parameter.
Find a 2 x 3 system of linear equations having this set of points as its solution set.
Please show all steps in your work and explain your answer in detail.

1) For the equations, you are learning several methods of finding the solution to a system. Is there a difference in the result you get using an algebraic method and what you get using a graphical method? Why or why not? How does the graph of two linear equations relate to the number of solutions to the system? How could you

Determine the number and types of solutions for the following
quadratic equations
x2 - 5x = -6
Determine the value of c for which the following quadratic equations
will have one root.
(see attachment for the rest)

Choose the two options that give the solution for x and for y, for the simultaneous equations.
5x+2y=2
2x+y=0.3.
Options
A. X= -2
B. X=0
C. X= 1.4
D. X= 1.7
E. Y= -2.5
F Y= -5
G. Y= 1.7
H. Y= 4.3