Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 395574: A carpenter is building a rectangular room with a fixed perimeter of 304 ft. What dimensions would yield the maximum area? What is the maximum area?
The length that would yield the maximum area is ___ ft.
Click here to see answer by richard1234(7193)

Question 395766: Hello. I am really stuck on my homework and need help. I am trying to solve this quadratic equation by factoring. Can anyone help? Thank you!
x^2+4x=12
Click here to see answer by ewatrrr(24785)

Question 395993: A high school is planning to build a new field surrounded by a running track. The perimeter of the track is 500m.A rectangle field inside track with maximum area, what are the dimensions ?
Click here to see answer by Alan3354(69443)

Question 396016: solve each equation using the quadratic formula:
1.) 4x^2+x-5=0
2.) 2x^2-5x+2=0
3.)3x^2+7=-6x
4.) 7x^2-x-12=0
Click here to see answer by mananth(16946)

Question 396120: How would you solve this?
m4 +13m2 − 48 = 0
would you separate the equation out so it's
m2(m2+13)-48=0?
Click here to see answer by Alan3354(69443)

Question 396264: Completing the square.
Please walk me through each step. the text says the answers are x=10, x=-2
x^2 - 8x - 20 = 0
thank you
Click here to see answer by ewatrrr(24785)

Question 396277: a store is having a sale and every thing is 1/4 off the regular price write and eqations to express the cost of 29$ jeans
Click here to see answer by ewatrrr(24785)

Question 396624: There are two positive numbers such that one is 6 less than twice the other.The difference of the squares of the two numbers is 1311.Find the numbers.
Click here to see answer by ewatrrr(24785)

Question 396661: 7a^2+49a+4a+28=0
7a(a+7)+7(a+7)=0
now,
(7a+7) (a+7)
by solving these, we get
a= -1,-7
Click here to see answer by CharlesG2(834)

Question 396661: 7a^2+49a+4a+28=0
7a(a+7)+7(a+7)=0
now,
(7a+7) (a+7)
by solving these, we get
a= -1,-7
Click here to see answer by ewatrrr(24785)

Question 396995: how do you write a quadratic function in standard form whose graph passes through the given points: (2,7) (3,2) and (5,4)?
Click here to see answer by stanbon(75887)

Question 397042: x^2-4x-5=0
Click here to see answer by jim_thompson5910(35256)

Question 397039: Find two numbers whose sum is 54 such that the sum of their squares is a minimum. (If a solution has a multiplicity of two, enter it in consecutive answer boxes.)
smaller number=
larger number=
Click here to see answer by richard1234(7193)

Question 396941: Find the largest integral value of k such that the roots of 2x^2-5x+k are real.
Click here to see answer by richard1234(7193)

Question 397233: Demonstrate how your quadratic equation is solved by the Quadratic Formula. Explain your steps.
7. $x^2 + 13= 4x$

Click here to see answer by MathLover1(20849)

Question 397228: the quadratic equation exercises that are attached to this note and demonstrate how your quadratic equation is solved by the Factoring Method. Explain your steps. Demonstrate how your quadratic equation expression is solved by the Square Root Property. Explain your steps. Two quadratic equations (similar to the ones you chose to explain above) for your classmates to solve using the algorithms to work with quadratic equations.
12. $(x � 9)^2= 34$
16. $(t � 2)^2= 25$

Click here to see answer by MathLover1(20849)

Question 397270: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form,
Solution: 4, only solution
The equation is ____=0
Click here to see answer by MathLover1(20849)

Question 397275: Use the quadratic formula to solve the equation.

The solution set is{____}.
Click here to see answer by ewatrrr(24785)

Question 397241: This is a quadratic function question but I didn't see that as an option to select.
A ball is tossed straight up from the top of a 1,127 foot tall building with an initial speed of 44 feet per second. The height h(t) of the ball t seconds after it is thrown is given by h(t)= -16t^2 + at + b (t^2 is my way of saying t-squared), where a is the initial speed of the ball and b is the initial height from which it is thrown.
A. How long was the ball in the air before it hit the street below? The answer is 9.88 seconds but I can't figure out how to get to the answer. I set it up as follows:
h(t)= -16t^2 + 44t + 1127
B. What is the maximum height the ball reaches? Answer is 1157.25 feet- again not sure how to get this.
C. How long does it take the ball to reach its maximum height? Answer is 1.37 seconds.
Even if you can just help with letter A. that would be a huge help.
Thank You
Click here to see answer by stanbon(75887)

Question 397525: What is : 8b^2v + 6bv -5v, factored completely ?
Click here to see answer by scott8148(6628)

Question 397580: The coordinates of the turning point of the graph y-2x^2=-4x+1 are
Im pretty sure the answer is (1,1) but i don't know for sure and plus can you show how you got the answer, thank you!
Click here to see answer by lwsshak3(11628)

Question 397839: Demonstrate how your quadratic equation expression is solved by the Square Root Property. Explain your steps.
$\bg_white (x-1)^2=6$
Click here to see answer by jim_thompson5910(35256)

Question 397812: Jane Axia knows that -7 is the only solution of an unknown quadratic equation. She wants to find the quadratic equation that has this solution. How do you find a quadratic equation if you are only given one solution? Explain your reasoning to Jane Axia.
Click here to see answer by CharlesG2(834)

Question 397563: i do not understand
f (x)= x^22 + 6x +9
o, -3

I need to know the steps to get the result
Click here to see answer by ewatrrr(24785)

Question 397859: 2y^2=15+y
Click here to see answer by scott8148(6628)

Question 397963: 6x^3+x^2-5x-2=0
find x, using factoring, or something... I need to use what x is, to make a graph.
Click here to see answer by richard1234(7193)

Question 397748: Once you have the approximate solution to a quadratic equation how do you round to the nearest thousandths?

Click here to see answer by richard1234(7193)

Question 398079: Mathmaticians have been searching for a formula that yeilds prime numbers. One such formula was x^2-x+41. Select some numbers for x. Substitute them in the formula, and see if prime numbers occur. Try to find a number for x that when susitituted in the formula yeilds a composite number. Im confused and dont understand.
Click here to see answer by stanbon(75887)

Question 398138: word problem associated with quadratic equation chapter::
a motorboat maintained a constant speed of 12 mph relative to the water going 23 miles upstream then returning. Total time for the trip was 24 hours. Using this information provided, what is the speed of the current in mph?
Click here to see answer by ankor@dixie-net.com(22740)

Question 398175: Dear sir, pLease help me on this problem, I got stuck,
1) A peacock is sitting on the top of a pillar which is 9m high .from a point 27m away from the bottom of pillar ,a snake is coming to its hole at the base of the pillar. seeing the snake the peacock pounces on it. if their speeds are equal ,at what distance from the hole is the snake caught?
Click here to see answer by scott8148(6628)

Question 398254: can you help me solve (by method of your choice)
__1_____________ ___1__ + ___2_________
x2(squared)+3x+2 = x-1 x2(squared -1
Click here to see answer by MathLover1(20849)

Question 398378: can you explain the whole quadratic unit because i really dont understand it ?
Click here to see answer by stanbon(75887)

Question 398429: USING FACTORISATION, SOLVE THE FOLLOWING QUADRATIC EQUATION
2y-8=0
Click here to see answer by ewatrrr(24785)

Question 398520: How do you solve (x-1/2)�=1 i've tried to square root both sides i put them under the same denominator which is 2. Then i dropped them and i got 2x-1=(square root)1 +1. Then i added +1 to each side and my final answer was x=1+(square root)1 (all divided by) 2 BUT it is not one of the answers on my homework sheet. Hope you can help, Thank You!
Click here to see answer by stanbon(75887)

Question 398558: How do you solve 3(x+7/3)^2=1 i've tried to do it but i just cant figure it out my teacher did not teach me how do to a question like his. Please help, Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 398591: How do you solve (x-1/2)^2=3/2 ?
Click here to see answer by jim_thompson5910(35256)

Question 398667: Find 2 quadratic functions where the graph of one opens up and the other opens down and both have x-intercepts of (9,0) and (-7,0).
Click here to see answer by stanbon(75887)

Question 398670: This is my first time using this site, so I apologize ahead of time if I do something wrong. I'm having trouble with this problem in my Algebra II homework and I was wondering if you could help me out.
*For the graph of y = ax^2 + bx + c, show that the y-coordinate of the vertex is (I don't know how to write fractions on here) -b^2 over 4a + c.
I thought about this one for a long time and I just can't seem to understand it. Help please?
-thank you for your time.
Click here to see answer by stanbon(75887)

Question 398784: can u please help i have went blank and dont even know where to begin with this problem 2(x+2)+(x+3)^2=x(x+5)+2 (17/2 +x) any help would be appreciated thank you!
Click here to see answer by rfer(16322)

Question 398901: State whether the equations represent a linear, quadratic, or exponential function
1) y=2^x^2
I thought this would be exponential but not sure since the ^x is not a number and that is squared.
2)10x+7-y=0
At first I thought this was linear but to make it in linear format it would be 10x+7=y which is not y=mx+b so I now think this is not any of the options.
3)y=10^2^x
I feel this is exponential.
Am I correct? So confused.

Click here to see answer by jsmallt9(3758)

Question 399231: How do you solve this equation: 2(m+1)�=3m+7
Click here to see answer by josmiceli(19441)

Question 399231: How do you solve this equation: 2(m+1)�=3m+7
Click here to see answer by unlockmath(1688)

Question 399108: John and Chris Maney have designed a new in-ground swimming pool for their backyard. The pool is rectangular and measures 30 feet by 20 feet. They have also designed a tile border to go around the pool. The tile border covers 216 square feet in area. What is the width x of this tile border?
Click here to see answer by ankor@dixie-net.com(22740)

Question 399248: Write a quadratic equation with the roots + or - radical5/4. write equation in the form ax^2+bx+c=0 where a, b, and c are integers.

thanks.
Click here to see answer by richard1234(7193)

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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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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