Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 312491: Use the quadratic formula to determine the x intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting point to graph the function. Show work. fx(x)=1/2x^2
Click here to see answer by Fombitz(13828)  |
Question 312499: You will need to use the formula 4.9t2 + v0t = s, where t is the time in seconds, v0 is the initial velocity, and s is the distance in meters.
Approximately how far will an object fall in 13 seconds (t) when thrown downward at an initial velocity of 10 meters per second (v0) from a plane?
Click here to see answer by nerdybill(6948)  |
Question 312495: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x^2 + 18x + 58 = 0
Click here to see answer by CharlesG2(828) |
Question 312635: Using the equation how do you find the values of a and k when h=1, and you have the coordinates (2,7) and (-1,16)
At first I tried to find the slope using the coordinates, but I thought that would not work because it's not a line, but I got 10 for a, which was wrong anyway.
Click here to see answer by scott8148(6628)  |
Question 313163: I'm stumped.
Given an array of known X and Y values, and a list of *new* X values, how can I solve for what the new Y value will be ?
A bit more detail: In Excel, I plotted these known X and Y values by means of a XY Scatter Chart, then asked it to create me a Trend Line, showing me the formula. The formula, for this data, is: y = 14.132x² - 63.03x + 79.647. I need to know how to actually *arrive* at that formula by a more manual means.
Thanks! :)
Click here to see answer by Fombitz(13828)  |
Question 313133: how do you get the x intercepts by evaluating the function in order to get other points to graph the function>??????
this is what I have so far:
f(x) =2x^2 +2
=2(x^2 +1) +2
f(x) = 2(x^2+1+.5-.5)+2
=2(x+2+1)+3(.5)+2
=2(x+3)^2 + 3.5
am i on the right track and if so what next in order to finish ??
Click here to see answer by Fombitz(13828)  |
Question 313276: 1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
Tickets= -0.2x^2+14x+5(this is the governing equation that is referred to in part c below)
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to the tickets sales as time passes?
c. Solve the governing equation using the quadratic formula.
d. Will tickets peak or be at a low during the middle of the sale? How do you know?
e. After how many days will the peak or low occur?
f. How many tickets will be sold on the day when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation -0.2x^2+14x+5=0? How do you know?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
Click here to see answer by stanbon(57211) |
Question 313270: Use the quadratic formula to determine the x-intercepts (if any) of the following function, then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x)=1/4x^2
I'm having a terrible time with this question and need some assistance with it as soon as possible, my brain hurts! So if anyone could answer this and explain, it would be greatly appreciated, thank you all SO very much!
Click here to see answer by ankor@dixie-net.com(15622)  |
Question 313312: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
x^2 + 4x - 7 = 0
Click here to see answer by Fombitz(13828)  |
Question 313344: A rectangular garden is 9 ft. longer than it is wide. A second rectangular garden is planned so that it will be 6 ft. wider and twice as long as the first garden. Find the area of the first garden if the sum of the areas of both gardens will be 528 ft squared
Click here to see answer by mananth(12270)  |
Question 313379: Linda drove to her boyfriend's house and found him waxing his car. This job usually takes him 3 hours. She wanted her boyfriend to take her to the show which was starting in 2 hours. She offered to help him, but she knew she would need 4 hours to wax the car by herself. She wondered how long both of them would need to wax the car. Calculate the number of hours it will take. (Round your answer to the nearest tenth.)
Click here to see answer by Edwin McCravy(8879)  |
Question 313371: (3+ √x)^2 + 3(3+√x)-10=0
u = (3+√x)
u^2= (3+√x)^2
u^2 + 3u - 10 = 0
x= [-b ± √(b^2-4ac)] ÷ 2a
-3 ± √(3^2-4(1)(-10)) ÷ (2)(1)
-3 ± √(9 + 40 )÷ 2
-3 ± √(49 ) ÷ 2
-3 + 7 = 4/2 = 2
-3 – 7 = -10/2 = -5
What did I do wrong?
Click here to see answer by Fombitz(13828)  |
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