Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 204941: Find all real or iminagary solutions to problem:
w^2 = -225
Thanks for your advice.

Click here to see answer by Alan3354(31538) About Me 

Question 204944: Find all real or imiganary soultions to the equation:
√7 + 29 = x + 3
Thanks for your help.

Click here to see answer by RAY100(1637) About Me 

Question 204942: -3m2-9m=0
Click here to see answer by Alan3354(31538) About Me 

Question 204806: How do you know when a quadradic formula has reached its maximum and minimun points ?
Click here to see answer by Alan3354(31538) About Me 

Question 204982: Can you please help me with this problem, I have tried to follow the steps of elimination but i get stuck when I have to solve y by multiplying on each side. thank you.
Johns Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes profit of $20 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $12360?
Johns lumber must produce and sell how many units of lumber, and how many units of plywood to make a profit of $12,360

Click here to see answer by stanbon(57984) About Me 

Question 204998: Plese help me understand this problem, I know that there should be $10.75 left after the purchase but how would i figure out the rest of the problem?
Problem:
A student makes a $9.75 purchase at the bookstore with a $20 bill. the store has no bills and gives the change in quarters and fifty cent pieces. their are 30 coins in all. how many of each kind are there? How many quarters are there in the change?

Click here to see answer by Alan3354(31538) About Me 
Question 204998: Plese help me understand this problem, I know that there should be $10.75 left after the purchase but how would i figure out the rest of the problem?
Problem:
A student makes a $9.75 purchase at the bookstore with a $20 bill. the store has no bills and gives the change in quarters and fifty cent pieces. their are 30 coins in all. how many of each kind are there? How many quarters are there in the change?

Click here to see answer by stanbon(57984) About Me 

Question 205038: Hello, I have this problem to solve, I have tried to do the equation for it, but I am unsure if it correct. Can you please help me.
Problem:
Part a
The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan#1 and y to represent floor plan #2. Write an equation that illustrates the situation.
( I wrote x+y=56)
Part b
The sales representative later indicates that there are 3 times as many hours available with the second floor plan that the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
(I wrote x + 3y=56)
Please clarify this for me. I appreciate it.

Click here to see answer by rfer(12731) About Me 

Question 205046: Hello. I am trying to figure out 6x^2+42x=0. I don't understand when they say factor out the 6x and how they get to 6x(x+7)=0. Can you explain step by step what factor out 6x means and how you do it? Thanks.
Click here to see answer by rfer(12731) About Me 

Question 205039: I am having a hard time trying to solve this problem, can you please help. thanks.
Problem:
Jim decides to hire a moving compnay, but is unsure which company to choose. Jim is interested in contacting two companies, Heavy Lifters and Quick movers, to discuss their rates. Heavy lifters charges an $80 fee plus $35 per hour. Quick movers charges $55 per hour with no additional fees. Which mover provides a better deal for 2 hours of work? Which mover provides a better deal for 15 hours of work? For what values h(hours) does Quick movers offer the better deal. Express answer in an inequality.

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

Question 205035: I would like some help with this problem:
The admission to the Coney Island Amusement Park is $1.80 for children, and $5.00 for adults. On Saturday, 2,500 people went to the amusement park and $6,050 was collected. How many children and adults attended the amusement park?

Click here to see answer by Alan3354(31538) About Me 

Question 205058: Find all real and imaganiary solutions to each equation
b^4 + 13b^2 + 36 = 0
Thanks for the help !

Click here to see answer by stanbon(57984) About Me 

Question 205034: I need help in solving this equation:
Sally sells cookies at cost of 3 for a $1.00 and mini cakes for $5.00 each. Sally wants to sell 5 baskets that include all two products for $15.00. How many cakes and cookies does Sally need to make for her baskets?
Thank you.

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 205031: how would i solve the quadratic equation F(2)=2t^2-4t-1?
Click here to see answer by edjones(7569) About Me 

Question 205110: The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height. The variable t is time in seconds, and s is the height of the object in feet.
a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information.
b) After how many seconds will the rock reach maximum height? Show all work.
c) What is the maximum height? Show all work.

Click here to see answer by Alan3354(31538) About Me 

Question 205107: a)calcualte the value of the discriminant of x^2+4x+4=0
b)By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? why?

Click here to see answer by stanbon(57984) About Me 

Question 205116: s=-16t^2+32t+40. How did they get from there calcuating in .5 seconds to -4+16+40? Where did the -4 come in. When I did the problem I got 64+32+40. What I do wrong?
Click here to see answer by Alan3354(31538) About Me 

Question 205129: Solve The following equation that has 3 roots(solutions):
x^3 - 3x^2 - 4x + 12 = 0

Click here to see answer by Edwin McCravy(8999) About Me 

Question 205159: 1.65=1+8t-5tē
Click here to see answer by checkley77(12569) About Me 

Question 205158: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page.
Click here to see answer by checkley77(12569) About Me 

Question 205156: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page.
Click here to see answer by checkley77(12569) About Me 

Question 205148: Hi, I need help solving this problem.
A rectangular piece of cardboard 11 inches by 14 inches is made into a box by cutting idential squares from each corner and folding up the sides. If the bottom of the box turns out to haave an area of 80 in^2, what size squares were cut from the corners?

I am setting up my problem as: 80 = (w-11)(w-14) but I am not sure if I am barking up the wrong alley (so to speak). Any help or suggestions would be greatly appreciated.
Thank you - Lori

Click here to see answer by checkley77(12569) About Me 

Question 205121: Solve 16x = x^2 by factoring
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Question 205150: without solving the equation or factoring, determine the solution to the equation, x^2+4x-5=0, using only the graph.
Click here to see answer by Edwin McCravy(8999) About Me 

Question 205155: I have a word problem that says: A rectangular scrapbook page has an area of 180 inches squared. If the length of the page is two less than twice the width, find the width of the page.
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 205469: what are the possible values of x in x squared=225 using the method called extracting square roots?

Click here to see answer by checkley77(12569) About Me 

Question 205390: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1.Integers
2.Rational numbers

Click here to see answer by rapaljer(4667) About Me 

Question 205546: Can you please help me with this problem
In order to achieve maximum results from aerobic exercise, one should maintain one's heart rate at a certain level. A 40year old woman with a resting heart rate of 75 beats per minute should keep heart rate between 138 and 159 beats per minute while exercising. She checks her pulse for 10 sec while exercising. What should the number of beats be? The number of beats in 10 sec should be between _____ and _____ beats.

Click here to see answer by Theo(3504) About Me 

Question 205554: Hello, I need help solving this application problem:
You are visiting new communities, the sales representative here tells you they have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use X and Y to denote floor plan#1 and floor plan#2 respectively.

Click here to see answer by stanbon(57984) About Me 

Question 205548: I am having problems finding the solution for the body mass. Can you help me, I appreciate it.
The body mass index, I, can be used to determine and individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I= 700w/H2, where w=weight, in pounds, and H=height, in inches. Frank weighs 170 pounds and stands 68 inches tall. What is his approximate body mass index? Find an inequality describing all weights that Frank can have and be in the low rist category.

Click here to see answer by stanbon(57984) About Me 
Question 205548: I am having problems finding the solution for the body mass. Can you help me, I appreciate it.
The body mass index, I, can be used to determine and individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I= 700w/H2, where w=weight, in pounds, and H=height, in inches. Frank weighs 170 pounds and stands 68 inches tall. What is his approximate body mass index? Find an inequality describing all weights that Frank can have and be in the low rist category.

Click here to see answer by Targetweek(62) About Me 

Question 205543: Please help me solve
Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $170 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $210, but only 30% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $210 in bills. Sam would save with Plan B if he had more than $_____ in bills.

Click here to see answer by Theo(3504) About Me 
Question 205543: Please help me solve
Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $170 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $210, but only 30% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $210 in bills. Sam would save with Plan B if he had more than $_____ in bills.

Click here to see answer by stanbon(57984) About Me 

Question 205577: I would like some help with this problem:
In a new community, the sales representative tells you that there are 38 homes being built, with two floor plans. Floor Plan#1 sells for $175,000 and floor Plan #2 sells for $200,000. She mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates the solution, also use elimination to determine how many houses with each floor plan are available.

Click here to see answer by stanbon(57984) About Me 

Question 205712: I always have problems with word problems, Can you pleae help with this one

A rectangular painting with a width of
x centimeters has an area of x2+50x square centimeters.
Find a binomial that represents the length

Click here to see answer by RAY100(1637) About Me 

Question 205732: Solve the problem.
Your company uses the quadratic model y = -11x2 + 350x to represent how many units (y) of a new product will be sold (x) weeks after its release. How many units can you expect to sell in week 17?
I would appreciate help on this.Thanks.

Click here to see answer by RAY100(1637) About Me 
Question 205732: Solve the problem.
Your company uses the quadratic model y = -11x2 + 350x to represent how many units (y) of a new product will be sold (x) weeks after its release. How many units can you expect to sell in week 17?
I would appreciate help on this.Thanks.

Click here to see answer by nerdybill(7009) About Me 

Question 205728: 12. Given the quadratic equation: X(to the 2nd power) -5X +1 = 0
a. what is the sum of the roots?
b. What is the product of the roots?
13. Write a quadratic equation such that the sum of the roots is 6 and the product of the roots is -11.
14, One number is 14 more than another number. Their product is 351. What are the numbers.
Thank you very much...please help me!

Click here to see answer by RAY100(1637) About Me 

Question 205907: I need help with this problem please: I found it on here but it is worded wrong.
Hazel has a screen door whose height is 4 feet more than its width. She wishes to stabilze the door by attaching a steel cable diagonally. If the cable measures sqrt194/2ft, what are the dimensions of the door?

Click here to see answer by nerdybill(7009) About Me 

Question 205902: Please help me with this question. I really need step by step. Thanks so much.
1/6x - 1/8x = 1/72

Click here to see answer by checkley77(12569) About Me 

Question 205886: Hi,

steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Thank you

Click here to see answer by checkley77(12569) About Me 

Question 205879: Hello,
Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Thank you

Click here to see answer by checkley77(12569) About Me 

Question 205919: Hi everyone...this is one im stuck on.
A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

Click here to see answer by stanbon(57984) About Me 
Question 205919: Hi everyone...this is one im stuck on.
A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

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

Question 205918: Hi, can you help me with this one?
Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Thank you

Click here to see answer by stanbon(57984) 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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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, 20251..20295, 20296..20340