Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 878272: Determine the equation of g(x) that results from translating the function f(x) = (x + 10)^2 to the right 15 units.
g(x) = (x - 5)^2
g(x) = (x + 25)^2
g(x) = (x + 10)^2 � 15
g(x) = (x + 10)^2 + 15
I say g(x)=(x+10)^2-15 is the correct answer. Is this correct?
Click here to see answer by Alan3354(69443)

Question 878268: Determine the equation of g(x) that results from translating the function f(x) = (x + 10)^2 to the right 15 units.
g(x) = (x - 5)^2
g(x) = (x + 25)^2
g(x) = (x + 10)^2 � 15
g(x) = (x + 10)^2 + 15
I say g(x)=(x+10)^2-15 is the correct answer. AM I correct??

Click here to see answer by Alan3354(69443)

Question 878288: Twice a number subtracted from the square of the number equals 15. what are the two possible numbers? Explain exactly how to work it out not just the solution.
Click here to see answer by Fombitz(32388)

Question 878214: Can you please help me solve using quadratic formula
4x^2+8x-77
Click here to see answer by Fombitz(32388)

Question 878157: Find the vertex and create a T-chart for each of the following problems.
Given: y=-3(x-1)^2+2
Given: y= (x+3)^2-5
All I need is the vertex for both and a T-chart for both.
T-chart is set up as X and Y
Click here to see answer by Fombitz(32388)

Question 878213: I have to solve using quadratic formula.
x^2-11x+30.25
Click here to see answer by rfer(16322)

Question 878324: x^4+7000x. Solve with the quadratic formula
In the end i always get (-10+/-(i sqrt(300)))/2, but it says I should have -5+/-5i sqrt(3). How do you get that?
Click here to see answer by Fombitz(32388)

Question 878153: Melvin needs to set up 182" chairs in a rectangular pattern for a convention. The number of rows is 19 less than three times the number of chairs in a row. How many rows does he need and how many chairs in each row? (Find solutions, rows, and chairs in row)
Rows= 3x-19
Chairs in row= x
So far I have x(3x-19)=3x^2-19x+1820 the solutions I got were 3.167-24 and 3.167+24. Is this correct? If not I need the solutions, rows, and chairs in row.
Click here to see answer by Fombitz(32388)

Question 878375: Dear Math Tutor,
How does 3x^2-5x-6=0 become 1/6(5 plus-minus the square root of 97)and
x^2-4x-7=0 become 2 plus-minus the square root of 11?

with gratitude,
Nat

Click here to see answer by Fombitz(32388)

Question 878465: I need to solve using quadratic formula. Can you please help?
x^2-11x+30.25
Click here to see answer by jim_thompson5910(35256)

Question 878472: Identify terms for the quadratic formula 0.05b^2-45b-920 for ax^2+bx+c=0
x=-b √b^2-4ac/2a
I say that a=0.05 b=-45 c=-920
This is where I am stuck... the solution is 45+√(?)/0.1
Can someone help and give the steps to how you completed(?).

Click here to see answer by jim_thompson5910(35256)

Question 878454: please help me solve this problem. I have to solve using quadratic formula
10k^2+200k+937.5=0
Click here to see answer by josgarithmetic(39613)

Question 878454: please help me solve this problem. I have to solve using quadratic formula
10k^2+200k+937.5=0
Click here to see answer by Edwin McCravy(20054)

Question 878548: how do i work through the problem: -X^2+4x-1=-1? Do i factor? I have the end result which is x=0 or x=4, but i am having trouble working through the problem to get to those answers.
Click here to see answer by josgarithmetic(39613)

Question 878551: Hello, i was wondering if someone could help me out with this word problem. Im very confused and i just cant seem to figure it out.

If a rectangular billboard is to have a width of 20 feet, what should its length be so that it is a golden rectangle? round to the nearest tenth.This is the formula that was given to me L/W= W/L-W. I tried L/20=20/L-20 but i cant seem to figure it out, thank you.
Click here to see answer by josgarithmetic(39613)

Question 878494: Given: y=-3(x-1)^2+2 Vertex: 1,2 can you fill in the Y for the t-chart to make coordinates to graph? X=-1,0,1,2,3 only one Y= 2(goes with 1 in X)
Click here to see answer by Alan3354(69443)

Question 877558: Multiple Choice
Charlie made the following statement: The range of f(x)=ax+b is the set of all real numbers given that a and b are real numbers. Which produces a counter example to her statement?
1.a<0
2.a=0
3.b<0
4.b=0
Click here to see answer by Fombitz(32388)

Question 878617: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -3x2 + 2x + 8.
1.{-1.33,2.00}
2.{-3,2}
3.{-0.67,-2.67}
4.{-0.38,0.25}
Click here to see answer by ewatrrr(24785)

Question 878715: x^2 + 19x + 92 = whole square of an integer when x is integer
find x
Attempted-
let a be the integer
x^2+19x+92-a^2=0
Discriminant>=0
361-4(92-a^2)>=0
4a^2>=7
a^2>=4/7
a<=-sqrt(7)/4 and a>=sqrt(7)/4
but a is integer
therefore a<=-2 or a>=2
Click here to see answer by josgarithmetic(39613)

Question 878732: I have the quadratic 6x(-2x + 4) = 0. I get 2 solutions 0 or 2 but my vertex, b^2/2a = -24, this seems impossible. What solution do you get?
Click here to see answer by rothauserc(4718)

Question 878849: Hello im stuck in this problem
The questions is simple
Solve the equation
[6^(1/2)]x^2+2x-[(3/2)^(1/2)]=0
The six is squareooted by itself with the x^2 outside the squareroot, and the 3/2 are inside the squareroot
Click here to see answer by AnlytcPhil(1806)

Question 878737: Please present this in a mathematical sentence.
1. A motorcycle driver travels 15kph faster than a bicycle rider. The motorcycle driver covers 60 km in two hours less than the time it takes the bicycle rider to travel the same distance? please present it step by step... thank you for helping.
2. A garden 7m by 12m will be expanded by planting a border of flowers. The border will be of the same width around the entire garden and has an area of 92m^2. please present it step by step... thankyou for helping.
God bless
Click here to see answer by ankor@dixie-net.com(22740)

Question 878847: A natural bridge is a stone arch formed over a river or stream. The longest natural
bridge in the world is the Rainbow Bridge in Utah. If the origin is placed at one end
of the arch, the curve of the arch can be modelled by the equation
h=-0.0425d^2+3.57d
, where h represents the height and d represents the horizontal
distance both measured in meters.
a. What is the width of the arch at its base?
b. What is the maximum height of the arch?
Click here to see answer by richwmiller(17219)

Question 878713: x^2 + 19x + 92 = whole square of an integer when x is integer
find x
Click here to see answer by AnlytcPhil(1806)

Question 878871: the area of recatngular barn is 132 ft. the length is 10 ft longer than twice the width. what is length and width

Click here to see answer by josgarithmetic(39613)

Question 878910: Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 11 units?
Click here to see answer by ewatrrr(24785)

Question 878953: practice solving quadratics with the quadratic formula.
I am so lost
x^2-4x-7=0
Click here to see answer by jim_thompson5910(35256)

Question 878954: Please help. use quadratic formula
x^2+6x+13=0
Click here to see answer by jim_thompson5910(35256)

Question 878956: use quadratic formula exact solution only
a^2-7a-10=0
Click here to see answer by jim_thompson5910(35256)

Question 878962: The curve of the arch on a bridge can be modelled by the equation
h=-0.0425d^2+3.57d
where h represents the height and d represents the horizontal
distance both measured in meters.
a. What is the width of the arch at its base?
b. What is the maximum height of the arch?
Please show your work.
Click here to see answer by ewatrrr(24785)

Question 878981: I need to solve using quadratic formula can you please help?
x^2=15+2x
Click here to see answer by jim_thompson5910(35256)

Question 878981: I need to solve using quadratic formula can you please help?
x^2=15+2x
Click here to see answer by MathLover1(20849)

Question 878986: Please help me solve using quadratic formula
x^2-10x+35=7x-35
Click here to see answer by Alan3354(69443)

Question 879046: I have to find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x

y= -3x^2 -21x - 18
Click here to see answer by Alan3354(69443)

Question 879046: I have to find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x

y= -3x^2 -21x - 18
Click here to see answer by josgarithmetic(39613)

Question 879046: I have to find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x

y= -3x^2 -21x - 18
Click here to see answer by MathTherapy(10549)

Question 879190: determine the equation of g (x) that result from translating the function f(x)=x2+3 upward 4 units

Click here to see answer by ewatrrr(24785)

Question 879139: I got this question in my textbook, and I really don't understand what to do.
The question tells me to create two examples of two quadratic functions that share a common property. Write them in standard form.
Click here to see answer by josmiceli(19441)

Question 879189: determine the equation of g (x) that result from translating the function f(x)=x62+3 upward 4 units

Click here to see answer by ewatrrr(24785)

Question 879209: Blue bird starts his flight from point (6,0). His flight path reaches a maximum height of 22 yards and lands at point (26,0)
Click here to see answer by Alan3354(69443)

Question 879337: 2y^2+17y-9
when i find the common factors and write out the equation which i wrote down, (1y+9)(2y1-1) i know it isnt correct.
i just have a feeling i am missing a vital and very simple part of finding the answer. please help
Click here to see answer by josgarithmetic(39613)

Question 879401:
Click here to see answer by Edwin McCravy(20054)

Question 879414: Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 8 meters, the new total area of the garden will be 196 square meters. Find the length of each side of the original garden.
Click here to see answer by ewatrrr(24785)

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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, 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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, 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