Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 63168: Use the Completing the square or Shortcut Method to find the Standard Form of the following quadratic function. Standard form: f(x) = a(x – h)2 + k
1. f(x) = x2 – 2x – 5 = __________________________
Click here to see answer by 303795(602)  |
Question 65312: Suppose a cannon shoots a cannon ball into the air so that the initial upward velocity of the cannon ball is 320 feet per second.Assume the cannon ball is shot from ground level.
H=-1/2*gt^+vt+h where g is the acceleration due to gravity, and on the earth, equals 32ft/sec^ (English units) or 9.8m/sec^(metric units,
v is the initial upward velocity of the object
h is the initial height above the ground
the question:
how high will the cannon ball be in 7 seconds?
and how do you figure it out?
i tried -16x^+320*7 because i thought this is what the solver was telling me to do...my answers were 2256,2224,2128,and 2352. None of these appear to be correct. I answered question #1 by guessing: in 5 seconds, the rocket will be 1200 feet above ground. The solution I came up with was 320*5=1600, 16*5=80,then add 320+80=400, then subtract 400 from 1600 to get 1200feet, which was the correct answer , but for question #2, i am wrong if i use the same pattern.
Click here to see answer by Earlsdon(6294) |
Question 65325: how many seconds after the cannonball was shot will it first be 1000 feet high? and how many seconds will the cannonball next be 1000 feet? and how did you solve this?
scenario:suppose a cannon shoots a cannonball into the air so that the initial upward velocity of the cannonball is 320 feet per second.
formula: H=-1/2*gt^+vt+h where g is the acceleration due to gravity, and on the earth, equals 32ft/sec^, v is the initial upward velocity of the object and h is the initial height above the ground.
Click here to see answer by stanbon(75887) |
Question 65455: Can you please help me with this problem? I'm having trouble with factoring some trinomials. I tried to factor this, but I couldn't find anything that would go into 13 and 30. I don't know if that makes it prime, or if I'm doing it completely wrong. y^2+13y+30
Click here to see answer by stanbon(75887) |
Question 65507: for 1980 to 1985, the anual sales S, in thousands of dollars, of a shoe store store can be modeled by S= -0.5t^2+3t+42, where t=0 represents 1980. question: A: During which years did the store have sales of more than $50,000? B: During which year did the store achieve its max sales?"
Solving it as a quadratic is not the real question here one can find
t = 3+/-(93)^1/2.
How is this quadratic set up to relate the Sales to the time period?
One can even find the vertex of the parabola as (3, 93/2)
There is a 5 year sales (earning) period involved
S does not relate well in solving for t
There appears to be a minimum for S when t=0 in 1980 of 42
Click here to see answer by josmiceli(19441)  |
Question 64597: I really, really need help on this one..... The (-32x^2 over 310^2), in the equation below, is a fraction......
A projectile is fired from a cliff 200 feet above the water at an incline of 45 degrees to the horizontal, with a muzzle velocity of 310 feet per second. The height h of the projectile above the water is given by:
h(x)= (-32x^2 over 310^2)+x+200 , where x is the horizontal distance of the projectile from the base of the cliff. Find the maximun height of the projectile.
Click here to see answer by venugopalramana(3286) |
Question 65815: Use the quadratic formula:
3x^2-2x+1=0
I need some seriuos help on this type of problem to understand the concept and how to actually write the answer in the right form, thank you
Click here to see answer by uma(370) |
Question 65886: Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
Solve for x: x^2 - 6x + 9 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
Solve for x: x^2 + 4x + 7 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
The vertex form of a quadratic function is 3(x - 7)^2 - 4. Find the usual y = ax^2 + bx + c form of the quadratic.
Find the vertex of the parabola y = 3(x+1)^2 - 4. Give your answer by filling in the blanks in the following sentence, where the first blank is the coordinates of the vertex, and the second blank is either the word "highest" or the word "lowest".
The vertex is ______ , and this point is the _________ point on the parabola.
Use the Completing the Square method to find the vertex form of the quadratic function y = x^2 + 7x + 12.
Use the Completing the Square method to find the vertex form of the quadratic function y = 2x^ 2 + 8x + 18.
s(t)=-16t^2+vot+so
In this question, use the information above. You may also use your calculator on this question.
We throw a rock into the air with initial velocity of 50 ft/sec, and initial position of 6 ft. Find how high the rock goes before coming back down. To answer this question, fill in the blanks in the following sentence, where the first blank gives this height, and the second blank gives how many seconds into the flight of the rock it reaches this maximum height.
The rock reaches its highest position of _______ feet above the ground after _______ seconds of flight
A farmer has 500 feet of fencing to use to make a rectangular garden. One side of the garden will be a barn, which requires no fencing. How should the pen be built in order to enclose the largest amount of area possible?
Give your answer by filling in the blanks in the following sentence: The farmer should build the pen ______ feet away from the barn, and ________ feet wide, for an area of _______ square feet
Find the x value or values at which the parabola y = x^2 + 4x + 5 crosses the x-axis. If the parabola does not cross the x-axis, write "It does not cross the x-axis".
Find the x value or values at which the parabola y = x^2 + 5x + 4 crosses the x-axis. If the parabola does not cross the x-axis, write "It does not cross the x-axis".
Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = -5 and z = 3
Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = 3 + 2i and z' = 3 - 2i.
Click here to see answer by Edwin McCravy(20054)  |
Question 65963: ) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.How far have you traveled after 3 hours?How far have you traveled after 4 hours?How far have you traveled after t hours (i.e., write a linear function that expresses the distance traveled, d, as a function of time, t).How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 3 hours?How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 4 hours?How far will you HAVE LEFT to travel to reach San Francisco after you have traveled t hours (i.e., write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t).
Click here to see answer by venugopalramana(3286) |
Question 66047: When working out the rule for a quadratic equation (ax^2+bx+c)from a tables of different values how do you find B? I know that a=half second difference pattern and c=y when x=0. I covered it ages ago and its just gone straight out of my head lol.. Thanks Jocelyn
Click here to see answer by checkley71(8403) |
Question 66082: I started on this problem but can't seem to get any further than this point. I can't figure out what I'm doing wrong. If you can help I would really appreciate it.
3=7x-4x^2
3-7x+4=0
a=3,b=-7,c=4
Thank you
Click here to see answer by funmath(2933) |
Question 66052: In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and the maximum number of riders possible.
The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Thank-you so much!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 66214: I NEED HELP PLEASE!
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
What is the function that describes this problem?
The ball will be how high above the ground after 1 second?
How long will it take to hit the ground?
What is the maximum height of the ball?
Click here to see answer by venugopalramana(3286) |
Question 66214: I NEED HELP PLEASE!
Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
What is the function that describes this problem?
The ball will be how high above the ground after 1 second?
How long will it take to hit the ground?
What is the maximum height of the ball?
Click here to see answer by Earlsdon(6294) |
Question 66213: For the function y = x2 - 6x + 8, perform the following tasks:
Put the function in the form y = a(x - h)2 + k.
What is the equation for the line of symmetry for the graph of this function?
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
In your own words, describe how this graph compares to the graph of y = x2?
Click here to see answer by venugopalramana(3286) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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