Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 71235: 3) Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 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 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• 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.
a) What is the function that describes this problem?
Answer:



b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.



c) How long will it take to hit the ground?
Answer:
Show work in this space.



d) What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

Click here to see answer by stanbon(75887) About Me 

Question 71234: 2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space



b) What is the equation for the line of symmetry for the graph of this function?
Answer:



c) 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.
Show graph here.


Explanation of graphing.




d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by stanbon(75887) About Me 

Question 71238: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex formula to find the maximum area.

Click here to see answer by checkley75(3666) About Me 
Question 71238: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex formula to find the maximum area.

Click here to see answer by galactus(183) About Me 

Question 71233: 1) Using the quadratic equation x2 – 4x – 5 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.


b) Solve by using the quadratic formula.
Answer:
Show work in this space




Click here to see answer by checkley75(3666) About Me 

Question 71246: Please help me solve this problem
An object is projected upward from the top of the tower. it's distance in feet above the ground after t seconds is given by s(f)=-16t^2 +64t +80. How many seconds will it take to reach ground level?
I would really like to know how to figure this out.
Thanks to anyone who is willing to help me

Click here to see answer by Earlsdon(6294) About Me 

Question 71278: Please help! I have no idea how to format this question nor where to start! The question is;

The plowed area of a field is a rectangle 80 feet by 120 feet. The owner plans to plow an extra strip of uniform width on each of the four sides of the field, in order to double the plowed area. How many feet should he add to each dimension? (draw a diagram first)

Thanks for your time!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71284: I would really like it if you guys can also help me with this application problem.
It reads;

An inlaid checkerboard has a mohogany border 2 inches wide. The area of the border is 176 square inches. Find the length of the board.
Thank you for your time.
C. Johnson

Click here to see answer by checkley75(3666) About Me 

Question 71282: I cannot even start this problem or try to get in ANY type of quadratic format. Can you please help?

The distance from first to second base in indoor baseball is 33 feet less than the corresponding distance in softball. The square bounded by the bases of an indoor baseball diamond is 2871 square feet less in area than that bounded by the bases of a softball diamond. Find the distance from one base to the other in indoor baseball.

Please help! thanks!
-C. Johnson

Click here to see answer by ptaylor(2198) About Me 

Question 71280: This is another quadratic based question that I have in which I have NO idea how to format it. Please HELP!

Find the dimensions of a triangle whose area is 42 square centimeters and whose base and height together measure 19 centimeters.

I am sooo totally lost. I appreciate your help

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71385: I tried doing the first part of this problem, but not sure if it is right. I dont know how to do part b. Can you please help me?
1) Using the quadratic equation x2 – 4x – 5 = 0, perform the following tasks:
a) Solve by factoring.
Answer:x=5, -1
Show work in this space. 1x2-4x-5 = (x-5)(x+1)


b) Solve by using the quadratic formula.
Answer:
Show work in this space

Click here to see answer by stanbon(75887) About Me 

Question 71387: 3) Suppose a baseball is shot up from the ground straight up with an initial velocity of 64 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 1/2g, the gravitational pull due to gravity (measured in feet per second2).
• 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.
a) What is the function that describes this problem?
Answer:



b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.



c) How long will it take to hit the ground?
Answer:
Show work in this space.



d) What is the maximum height of the ball? What time will the maximum height be attained?
Answer:
Show work in this space.

Click here to see answer by stanbon(75887) About Me 

Question 71498: 6x^+12x-12=0

Click here to see answer by checkley75(3666) About Me 
Question 71498: 6x^+12x-12=0

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Question 71496: 4x^+3x-6=0
Click here to see answer by checkley75(3666) About Me 

Question 71469: An open box is to be constructed from a rectangular sheet of metal by removing a one-foot by one-foot square from each corner and turning up the edges. The length of the sheet of metal is twice the width. If the box is to hold 4 cubic feet. What should be the dimensions of the sheet metal?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71671: I need to solve 5x^+2x=2 by using the quadratic formula. Help!
Click here to see answer by stanbon(75887) About Me 

Question 71677: 2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space



b) What is the equation for the line of symmetry for the graph of this function?
Answer:



c) 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.
Show graph here.


Explanation of graphing.




d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by stanbon(75887) About Me 

Question 71676: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained. Use the vertex formula to find the maximum area.
Answer:
Show work in this space.

Click here to see answer by checkley75(3666) About Me 

Question 71840: create three unique equations where the discriminant is positive, zero, or negative using the quadratic formula to solve a quadratic equation ( ax^2 + bx + c=0) the discriminant is b^2-4ac
Click here to see answer by bucky(2189) About Me 

Question 71903: f(x)=5x^2-10x+3
a. find the vertex
b. find the axis of symmetry
c. determine whether there is a maximum or minimum value and find the value
d. find the range
e graph the function
I would really appreciate some help with this question. I don't understand the explanation the book gives
Thank you

Click here to see answer by jim_thompson5910(35256) About Me 

Question 71904: systems of equations and matrices
3x-5y= -8
4x+3y= -1

Click here to see answer by checkley75(3666) About Me 

Question 71936: When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 71930: When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.

Click here to see answer by venugopalramana(3286) About Me 

Question 71984: Can you help me factorise 3x + 6y =
Click here to see answer by checkley75(3666) About Me 

Question 72060: answer for x^2-7x+10=0
Click here to see answer by stanbon(75887) About Me 

Question 72061: answer for x^2+2x+5=0
Click here to see answer by stanbon(75887) About Me 

Question 72062: answer for this problem x+7/x=8
Click here to see answer by bucky(2189) About Me 

Question 72082: please find the value for k tha completes the square for x^2+10x+k
Click here to see answer by 303795(602) About Me 

Question 72108: Can you help me factorise these questions:-
1. 8a + 12b =
2. x^2 + 5x =
3. 5xy + 15x^2 =
4. 21x^3 - 14 =
5. 18y^2z - 27yz^2 =

Click here to see answer by Earlsdon(6294) About Me 

Question 72240: Find the vertex for y=3(x-5)squared+2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 72409: 1) Solve the following equations.
a) √X - 1= 3
Answer:
Show work in this space.



b) √x^3 =8
Answer:
Show work in this space.



c) 3^√x^2 =4
Answer:
Show work in this space.

Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72416: what is the value of c in the formula c = square 2a^2 + b^2 if a=4 and b=5?
Click here to see answer by psbhowmick(878) About Me 

Question 72650: x(2x + 7) = -5
Click here to see answer by elima(1433) About Me 
Question 72650: x(2x + 7) = -5
Click here to see answer by Earlsdon(6294) About Me 

Question 72671: A rectangle scale used to weigh an elephant seal is 8 feet longer than it is wide. The area of the scale is 33 square feet. What are the dimensions of the scale?
Click here to see answer by Tutor Online(2) About Me 

Question 72727: when solving for quadric equations how do you get x equal to zero. do you do GCF?
Click here to see answer by stanbon(75887) About Me 

Question 72632: Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 72822: Please help me solve this equationa%5E2+%2B+4a+-+21+=+0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 72831: Please help me solve this-2t%5E2+-+5t+%2B+12+=+0

Click here to see answer by checkley75(3666) About Me 

Question 72866: i need help please.
write the quadratic equation in standard form.
-4x^2+2x=-7

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Question 72887:
Click here to see answer by rahman(247) About Me 

Question 72910: Can you help me solve: A 5 in. photograph is surrounded by a frame of uniform width. The area of the frame equals the area of the photograph. Find the width of the frame.
Click here to see answer by checkley75(3666) About Me 

Question 72921: Can you please help me solve: A 5 in. by 7 in. photograph is surrounded by a frame of uniform width. The area of the frame equals the area of the photograph. Find the width of the frame.
Click here to see answer by don vito(18) About Me 

Question 72945: What is the monomial that can be factored out of 4x^2 + 12x + 16? is has four choices to choose from...
(a) 2
(b) 2x
(C) 4
(d) 4x
THanks!

Click here to see answer by funmath(2933) About Me 

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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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240