Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 193832: Find the height, of a ball, above ground using the following information.

wait 3 seconds, velocity is 45 ft/sec, initial height above ground is 10 ft
1 ft
3 ft
13 ft
4 ft
Click here to see answer by solver91311(16897)

Question 193830: Find the height, of a ball, above ground using the following information.
wait 2 seconds, initial velocity is 55 ft/sec, initial height above ground
is 2 ft
Question 1 answers
40 ft
42 ft
46 ft
48 ft
Click here to see answer by Edwin McCravy(8909)

Question 193861: I am not sure how to set this problem up. Can you help?
You travel 5 miles in a boat. because of a 4 mph current it took you 20 minutes longer to go then return. How fast will you go without current?
Is the problems set up like-
10x+100=x^2+20x
Click here to see answer by josmiceli(9690)

Question 194011: (sqrt 5- sqrt7)^2

answer:12-2 sqrt 35 need a full break down on why the answer is 12-2 sqrt35
Click here to see answer by solver91311(16897)

Question 194070: Miranda throws a set of keys to her brother who is standing on a third-story balcony with his hands 38 feet above the ground. If Miranda throws the key with an initial velocity of 40 feet per second, the equation h = -16t+40t+5 gives the heigh h of the keys after t seconds.
1. How long does it take the keys to reach their highest point?
2. How high do the keys reach?
3. Will her brother be able to catch the keys? Explain.
Click here to see answer by stanbon(57377)

Question 194098: x2=10x-6

Click here to see answer by vleith(2825)

Question 194097: a retailer spent $48.00 to purchase a number of special mugs. 2 broken in store, but by selling each of remaining mugs for $3.00 above original cost per mug, made $22.00 profit.
a. if the price for n mugs is $48, how can i express the cost per mug?
b. using answer in step a, how do i express selling price per mug?
c. since two broken how do i express # of mugs available for sale?
d. using b and c construct expression for amount of 4 made on sale of remaining
e. how do i express relationship between money made, the cost and the profit
what i come up so far.......still confused as exactly how to express each listed above...thanks
Let n = the number of mugs purchased by the retailer
Let n-2 = the number of mugs available for sale (the retailer broke two)
Let (48/n) - the cost of each mug purchased by the retailer ($48 spent divided by the number of mugs)
If she sold each mug for a 3 profit
(3+(48/n)) is the sale price of each mug
(n-2)(3+(48/n)) = the total sales (the number of mugs sold*the price)
the total sales = cost + $22 profit
(n-2)(3+(48/n))=48+$22

If (n-2)(48/n+3) - 48 = 22 then expanding brackets:-
48 - 96/n + 3n - 6 - 48 = 22 and rearranging
3n - 96/n - 28 = 0 and multiplying through by n gives
3n^2 - 28n - 96 = 0 which is the standard form of a Q.E.
Factorising to (3n + 8)(n - 12) = 0 therefore:-
n = - 8/3 or 12

Click here to see answer by stanbon(57377)

Question 194140: x^2-8x+16=0.
Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.
Thank You
Click here to see answer by josmiceli(9690)

Question 194142: Determine the type (real or complex) and number of the solutions of each of the following equations. Justify your answer.
square root 2x^2-4x-7 square root 2=0
not sure how to make the square root symbol. Thank you
Click here to see answer by jim_thompson5910(28595)

Question 194150: Please help me solve this equation:
I tried working it out several times but was unable to understand why the end result was instead of . What happened to the '2', and why and how am I supposed to get rid of it?
Thank you so much for your help!
Click here to see answer by RAY100(1637)

Question 194158: Gwen travelled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(15657)

Question 194297: Factoring to solve quadratic equations:
-8n(10n - 7 ) =0
Solve the equation using the zero- product property?
Click here to see answer by edjones(7569)

Question 194267: How do I solve this using the quadratic formula?
x=-4x^2-4
Click here to see answer by checkley77(12569)

Question 194266: How do I solve this equation using the quadratic formula?
3x^2-6x=1
Click here to see answer by checkley77(12569)

Question 194368: Factoring for quadratic equations. 6x^ + 3x - 18=0

Click here to see answer by orca(409)

Question 194432: How do you write the standard form of the parabola given directrix (x=3) and vertex (0,0)?
Click here to see answer by Mathtut(3670)

Question 194461: the function h=-5t2+20t+1 models the height, h meters, of a baseball as a function of the time, t seconds, since it was hit. The ball hit the ground before the fielder could catch it. Use the quadratic formula to solve the following problems.
a) How long was the baseball in the air, to the nearest tenth of a second?
b) For how many seconds was the height of the ball at least 16 m?
Click here to see answer by nerdybill(6962)

Question 194480: find the solution for
(x-3)2 =17
Click here to see answer by jim_thompson5910(28595)

Question 194491: x squared - 10x + 9 = 0
I subtracted 9 on both sides.
x squared - 10x = -9
and I'm lost from here. Can someone please help me?
Click here to see answer by jim_thompson5910(28595)

Question 194493: find the equation of a quadric function with x- intercepts (2,0) and (-7,0) and y intercept (0,5)
please i need help for this problem please i need help i have exam on Tuesday 05/07/09 so it is urgent!!!!!
Click here to see answer by jim_thompson5910(28595)

Question 194502: The sum of two consecutive odd integers is 56. Identify BOTH of the numbers.
Click here to see answer by RAY100(1637)

Question 194501: The perimeter of a rectangular basketball court blocked off by students on a playground is 300 feet. If the length of the court is two feet more than triple the width, find the length and the width of the blocked off court.
Click here to see answer by RAY100(1637)

Question 194512: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
H(x)=-(x-6)^2+1
Click here to see answer by RAY100(1637)

Question 194518: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
g(x)=-x^2-2x+8
Click here to see answer by RAY100(1637)

Question 194519: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
x=2y^2+4y+5
Click here to see answer by RAY100(1637)

Question 194500: Anita invested a certain amount of money into a savings account, and invested twice that amount into a mutual fund. If after one year of time the savings account earned 5% interest and the mutual fund earned 8% interest, and total earned from the two investments in that year was $105, how much did Anita initially invest into both?
Click here to see answer by stanbon(57377)

Question 194549: x2-3x-4=0
Click here to see answer by RAY100(1637)

Question 194506: Solve using quadratic methods.
x^2/3-3x^1/3-10=0
Click here to see answer by orca(409)

Question 194497: Write the perimeter formula of a rectangle, and then substitute the following conditions into the formula: The perimeter of a rectangular garden is 100 feet, and the length of the garden in 12 feet more than the width. Use x to represent the width.
Click here to see answer by doukungfoo(195)

Question 194511: Name the vertex and axis of symmetry for each quadratic function. Tell wherther the parabola opens up, down, left, or right.
f(x)=x^2-1
Click here to see answer by Mathtut(3670)

Question 194572: I am very confused solve and round to nearest1000th
6z^2+5z=-1
Click here to see answer by stanbon(57377)

Question 194574: Find the x intercepts
f(x)=2x^2 +8x-42
(2x+6)(x-7)
x+3 X-7
intercepts are - 3 and 7 is this correct?????
Click here to see answer by stanbon(57377)

Question 194574: Find the x intercepts
f(x)=2x^2 +8x-42
(2x+6)(x-7)
x+3 X-7
intercepts are - 3 and 7 is this correct?????
Click here to see answer by jojo14344(1512)

Question 194618: I actually have five questions.

1.) What number should be added to the expression x2 + 4x to change it into a perfect square trinomial?

2.) What number should be added to the expression x2 + 12x to change it into a perfect square trinomial?

3.)Solve the following equation by transforming it into a perfect square trinomial.
x2 - 14x = 15

4.)Solve the following equation by transforming it into a perfect square trinomial.
3x2 + 18x = 21

5.) Solve the following equation by transforming it into a perfect square trinomial.
x2 - 2x = 3

Click here to see answer by Mathtut(3670)

Question 194613: Hello!
Graph the following parabola. Calculate and identify vertex and intercepts in graph. Problem - y=x^2+4x+3

y= (x+1) (x+3) = Is this correct so far? I'm not sure howto graph this parabola. Can you help me? Thank you!!!

Click here to see answer by Mathtut(3670)

Question 194607: solve:-m^2=-81
a.(-9,9)
b.(-9)
c.(9)
d.(-9,0)
Click here to see answer by Mathtut(3670)

Question 194606: solve x^2-2x=15 by completing the square
a.(-5,3)
b.(5,-3)
c.(-5,-3)
d.(5,3)
Click here to see answer by Mathtut(3670)

Question 194604: whta number is used to complete the squrare for the equation x^2-12=0
a.36
b.-36
c.24
d-6

Click here to see answer by checkley77(12569)

Question 194706: i cant solve this quadratic equation by factoring, -56 = 15x + x^2....exept it is just a x with a 2 ubove it but that is wat it means
Click here to see answer by scott8148(6628)

Question 194712: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. And then rank them fastest to slowest using the problem numbers.
f(x) = 2x – 5
f(x) = x2 - 4x + 3
f(x) = x3 + 4x2 - 2x - 3
f(x) = 7x
f(x) = log x
Click here to see answer by solver91311(16897)

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250