Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 75883: Please help, I am having difficulty trying to figure Quadratic Equations. On page #575 of Begining Algebra Questions 2, 4, 6 and 14 are the ones I need help with. I need to write them in standard form and determine the values of a,b, and c. Your help is very appreciated. Thanks!! =)
#2. x^2+6x-5=0
#4. 4x^2+20x=0
#6. 3x^2+10x+8= -17x-2
#14. x^2+3x-40=0

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

Question 75952: Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 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 ½g, the gravitational pull due to gravity (measured in feet per second 2).
• 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?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball?

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

Question 75982: Solve (x-5)^2 = 6
My answer to this problem was: x=2sqrt%286%2B5%29,x=-2sqrt%286%2B5%29. Is this correct? Thank you so much for your time and help.

Click here to see answer by tutorcecilia(2152) About Me 

Question 75981: Sollve using the quadratic formula. x%5E2+=+7x+%2B+6
My answer was x=%282sqrt%2873%29%2B7%29%2F2,x=%28-2sqrt%2873%29%2B7%29%2F2. Is this correct? Thanks so much for your time.

Click here to see answer by tutorcecilia(2152) About Me 

Question 75977: Solve. 9x%5E2=14
My answer to this problem was: x=2%5E%281%2F2%29%2A7%5E%281%2F2%29%2F3,x=-2%5E%281%2F2%29%2A7%5E%281%2F2%29%2F3 However this is not one of the options for this problem. I need to know what I did wrong. Thanks so much.
The answers to this problem are:
a)+%287%2F3%29
b)+%28sqrt%2814%29%2F3%29
c)+sqrt%2814%29%2F9%29
d)+%287%2F9%29

Click here to see answer by tutorcecilia(2152) About Me 

Question 75979: Find the constant term that sould be added to make the following expression a perfect square trinomial.
x%5E2+%2B+5x
A) 5/2
b) 25
C) 25/4
D) 25/2
I got the answer of 25/4. Is this correct? Thanks.

Click here to see answer by tutorcecilia(2152) About Me 

Question 75978: Solve. 5(x-2)^2=3
I want to check my answer of x=%282sqrt%2815%29%2B10%29%2F5,x=%28-2sqrt%2815%29%2B10%29%2F5
I needed to know if this is correct. Thanks.

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

Question 76004: 27-y^2=0
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Question 76004: 27-y^2=0
Click here to see answer by checkley75(3666) About Me 

Question 76049: A rectangle of area 90 has a width 9 less than its length. What is the length and width of the triangle?
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Question 76043: What are two consecutive intergers whose product is 90?
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Question 76026: Need help with question #14. I need to solve for the roots of each quadratic equation using the factoring method, but I need to place the equation in standrard form before factoring. Thanks so much in advance for time and help. =)
x^2+3x-40= 0

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

Question 76046: A two-digit number is five times its units digit. If the digits are reversed, the resulting number is 27 more than the original number. What is the original number?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 76045: The units digit of a two-digit number is 40% of the tens digit. If the digits are reversed, the resulting number is 27 less than the original number. What is the original number?
Click here to see answer by scott8148(6628) About Me 

Question 76041: What are two consecutive integers whose product is 72?
Click here to see answer by rmromero(383) About Me 

Question 76040: C is 3 years younger than D. The product of their ages is 88. How old is each?
Click here to see answer by rmromero(383) About Me 

Question 76048: A rectangle of area 63 has a lenght 2 more than its width. What is the lenght and width of the rectangle?
Click here to see answer by Cintchr(481) About Me 

Question 76112: Solve by completing the square.
x^2 + 14x + 48 = 0
My answer for this problem was -8, 6. Is this correct. Thanks so much for your time and help.

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

Question 76110: Is the following trinomial a perfect square?
x^2- 14x +49
I came up with the answer of yes. Is this correct? Thanks.

Click here to see answer by wodkit02(9) About Me 

Question 76109: Solve by completing the square.
X^2 = 5x +2
My answer for this one was %285%2Bsqrt%2829%29%29%2F2. Is this correct. Thanks for your time to look over this, I appreciate it.

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

Question 76108: Is the following trinomial a perfect square? x^2- 8x - 16
I came up with no. Is this correct? Thanks

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

Question 76100: Solve x2 - 6x + 8 = 0 by quadratic equation?
Click here to see answer by checkley75(3666) About Me 

Question 76039: A is 4 years older than b. The product of their ages is 45. How old is each?

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Question 76028: Need help determinig the value of a, b, and c and writing it in standard form for #6. Thanks for the help. =)
3x^2+10x+8=-17x-2

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

Question 76134: Hi, I need desperate help in solving quadratic equations, I just can’t seem to understand it and keep getting the wrong answers when I try.
I need help on page #575 on question #24. I need to solve the roots of each quadratic equation using the factoring method, and place the equation in standard form before factoring:

P^2+15p+25=6p+5

Please help, Thanks!

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

Question 76107: The demand and supply equations for a certain item are given by
D = 5p + 40
S= -p^2 + 30p -8
Find the equilibrium Price.
I am needing serious help with this. I am lost with this problem and need some help. Thanks.

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

Question 76221: Write the following phrase, using symbols.
The sum of m and n, divided by the difference of m and n

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Question 76225: The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass (m) and the square of the velocity (v). Write an expression for the kinetic energy of a particle.
Click here to see answer by stanbon(75887) About Me 

Question 76226: Suppose that the temperature outside is dropping at a constant rate. At noon, the temperature is 70oF and it drops to 58oF at 5:00 pm. How much did the temperature drop each hour?
Click here to see answer by bucky(2189) About Me 

Question 76224: It is estimated that the Earth is losing 4000 species of plants and animals every year. If S represents the number of species living last year, how many species are on Earth this year?
Click here to see answer by scott8148(6628) About Me 

Question 76222: Write the following phrase, using symbols.
The quotient when 3 more than a number is divided by 3 less than that same number

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Question 76237: A triangle has 3 sides,3x + 7,4x - 9, and 5x + 6. find the expression that represents its perimeter.
Click here to see answer by chitra(359) About Me 

Question 76235: The simple interest I on a principal of P dollars at interest rate r for time t, in years, is given by I = Prt. Find the simple interest on a principal of $6000 at 3% for 2 years. (Hint: 3% = 0.03)
Click here to see answer by chitra(359) About Me 

Question 76234: At 7 am, the temperature was - 15oF. By 1 pm, the temperature had increased by 18oF. What was the temperature at 1 pm?
Click here to see answer by chitra(359) About Me 

Question 76155: How do you write 4*x^3*y-20*x^2*y+16*x*y as a product? I got part of the question and factored the problem to 4xy(x^2-5x+4) but how do you finish the problem?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 76242: Ramon owes $780 on his VISA account. He returns three items costing $43.10, $36.80, and $125.00 and receives credit on his account. Next, he makes a payment of $400. he then makes a purchase of $82.75. How much does Ramon still owe?
Click here to see answer by chitra(359) About Me 

Question 76249: 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. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 76243: Ramon owes $780 on his VISA account. He returns three items costing $43.10, $36.80, and $125.00 and receives credit on his account. Next, he makes a payment of $400. he then makes a purchase of $82.75. How much does Ramon still owe?
Click here to see answer by tutorcecilia(2152) About Me 

Question 76233: Ramon owes $780 on his VISA account. He returns three items costing $43.10, $36.80, and $125.00 and receives credit on his account. Next, he makes a payment of $400. he then makes a purchase of $82.75. How much does Ramon still owe?
Click here to see answer by Poohbear272(22) About Me 

Question 76281: Solve (x-5)^2 = 6
I just need to verify my answer of 5%2Bsqrt%286%29. Is this correct? Thanks so much for your help.

Click here to see answer by bucky(2189) About Me 

Question 76279: I really need some help with this. Please. Find the axis of symmetry.
Y = x^2 + 5x -9
Thanks

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

Question 76350: 1) Using the quadratic equation x2 - 6x + 8 = 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 jim_thompson5910(35256) About Me 

Question 76383: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her 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. Use the vertex form to find the maximum area.
Answer:
Show work in this space.

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

Question 76424: Can you help me with this please??
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. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.

Click here to see answer by Edwin McCravy(20054) 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, 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, 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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