Typing hint: Type x ² as x^2 (shift 6 on the keyboard will give ^)

1. Solve the following by factoring:

1. \[5{{t}^{2}}-10t=0\]
   Answer:
2. \[{{x}^{2}}-3x-10=0\]

which implies that \(x=5\) or \(x=-2\).

2) If \[f(x)=3{{x}^{2}}+5x-2\] , find:

1. f (-2)
2. f (4)

3) Solve \[3{{x}^{2}}+19x-14=0\] using the quadratic formula. Read the information in the assignment list to learn more about how to type math symbols in MS Word.

4) Use the graph of \[y={{x}^{2}}-2x-8\] to answer the following:

1. Using the graph , what are the solution(s) to the equation \[{{x}^{2}}-2x-8=0\] ?
   
2. Does this function have a maximum or a minimum?
3. What is the equation of the line of symmetry for this graph?
4. What are the coordinates of the vertex in ( x, y ) form?

5) a) Calculate the value of the discriminant of \[{{x}^{2}}+2x+1=0\] .

b) By examining the sign of the discriminant in part a, how many x -intercepts would the graph of \[y={{x}^{2}}+2x+1\] have? Why?

6) a) Find the corresponding y values for x = -4, -3, -2, -1, 0, 1, 2, if \[y={{x}^{2}}+2x-15\] .

Answer (fill in y column)

Show your work here: (type x -squared as x ^2 unless using a superscript feature).

b) Use Microsoft Excel or another web-based graphing utility to plot the points found in part a) and to draw the graph. Copy and paste the graph here. Read the information in the assignment list to learn more about how to graph in MS Excel.

7) The path of a falling object is given by the function \[s=-16{{t}^{2}}+{{v}_{0}}t+{{s}_{0}}\] where \[{{v}_{0}}\] represents the initial velocity in ft/sec and \[{{s}_{0}}\] represents the initial height in feet. Also, s represents the height in feet of the object at any time, t, which is measured in seconds.

1. If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information.
   
2. How high is the rock after 2 seconds?

c) After how many seconds will the graph reach maximum height? Show your work algebraically.

d) What is the maximum height?

8)

, also typed as A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corresponding width of each of the two rectangles?

Price: $15.86

Solution: The downloadable solution consists of 9 pages, 686 words and 3 charts.
Deliverable: Word Document