Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1121362: Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x=2 and f(0)=-9.
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Question 1121405: The product of two consecutive integers is 132.Frame an equation for the statement.Find the numbers.
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Question 1121404: Suppose the area of a rectangle is 114.4m^ and the length is 14m longer than the width.Find the length and width of the rectangle.
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Question 1121412: The area of a rectangle is 560 square inches.The length is 3 more than twice the width.Find the length and the width.
Let L be the length and let be W be the width.The length is 3 more than twice the width

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Question 1121410: The product of two consecutive integers is 132.Frame an equation for the statement.Find the numbers.
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Question 1121410: The product of two consecutive integers is 132.Frame an equation for the statement.Find the numbers.
Click here to see answer by Alan3354(69443) About Me 

Question 1121411: A ball is short from a cannon into the air with an upward velocity of 40ft/seconds.The equation that gives the height (h) of the ball at any time (t) is: h=-16t^+40tc1.5. How long did it take for the ball to reach the ground?
Click here to see answer by Alan3354(69443) About Me 

Question 1121423: please someone should help me with this question: X³ + 4.9X² - 25.6
what is X

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Question 1121448: What is the example of floor plan and have a complete solution.
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Question 1121465: pls I need an answer, what is X:
X³ + 4.9X² - 25.6 =0

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Question 1121549: The expression s^2 is used to calculate the area of a square, where S is the side length of the square. what does the expression (8x)^2 represent?
a. The area of a square with a side length of 8.
b. The area of a square with a side length of 16
c. The area of a square with a side length of 4x
d. The area of a square with a side length of 8x

Click here to see answer by ikleyn(52748) About Me 

Question 1121582: Question 4
Write the quadratic equation whose roots are
-2 and 2
, and whose leading coefficient is 2
.
(Use the letter
to represent the variable.)

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Question 1121581: Question 4
Write the quadratic equation whose roots are
and
, and whose leading coefficient is
.
(Use the letter
to represent the variable.)

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Question 1121782: write (2x-5)2 as a trinomial
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Question 1121887: use the quadratic formula to solve the equation to the exact value or round to two decimal places. x2+x=5
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Question 1121907: the number of new cars purchased in a city can be modeled by the equation C=20t2 + 135t + 3050, where C is the number of new cars and t =0 corresponds to the number of new cars purchased in 198. in what year will the number of new cars purchased reach 15,000
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Question 1121908: (6x-1)(6x+2) multiply
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Question 1121910: A ball is thrown straight upward from the ground and attains a height of 𝑠(𝑡) = −16𝑡^2 +128𝑡 +4 metres above the ground after t seconds.
Question 1
When does the ball reach the maximum height?
Question 2
What is the maximum height that the ball can reach?

Click here to see answer by ikleyn(52748) About Me 

Question 1121947: Julia depositing 20% of her paycheck into her savings account. Julia is putting g 60% of the remainder into her checking account which is $108.24. What is the amount she deposited into her savings account?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1122324: Mike and hassan together harvested 19 mangosteens.if Hassan has 3 less of the fruit than mike, find the number of mangosteens mike has

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Question 1122331: Our latest | Google

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Question 1122356: Find the vertex of the following quadratic function. Please show your work.
f(x)= 5/6x^2 + 20/21x - 2/147
***2/147: these are fractions

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Question 1122399: Factor: 9/25x^2 + 6/15x + 1/9
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Question 1122399: Factor: 9/25x^2 + 6/15x + 1/9
Click here to see answer by MathTherapy(10549) About Me 

Question 1122448: problem solving using quadratic functions:
Assume the perimeter of a rectangle is P and that the area is to be maximized. Let x represent the width of the rectangle. Using quadratic functions, show that the rectangle must be a square.

Click here to see answer by ikleyn(52748) About Me 
Question 1122448: problem solving using quadratic functions:
Assume the perimeter of a rectangle is P and that the area is to be maximized. Let x represent the width of the rectangle. Using quadratic functions, show that the rectangle must be a square.

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Question 1122435: The distance D km between two ships A and B at time t hours is given by the formula D = 4t^2 - 36t +95. Find the minimum distance between the ships
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Question 1122435: The distance D km between two ships A and B at time t hours is given by the formula D = 4t^2 - 36t +95. Find the minimum distance between the ships
Click here to see answer by ikleyn(52748) About Me 

Question 1122539: Section about graphing quadratic inequalities:
Select the correct range for each quadratic inequality below. Assume a>0.
1. y is bigger than or equal to a(x-h)^2+k
2. y< a(x-h)^2+k
3. y> a(x-h)^2+k
4. y is smaller than or equal to a(x-h)^2+k
Choices:
A. Real number
B. {y|y>k}
C. {y|y D. {y|y is bigger than or equal to k}
E. {y|y is smaller than or eual to k}
F.No solution

This is a multiple choice question so I would really appreciate it if you could include the answers.

Click here to see answer by ikleyn(52748) About Me 

Question 1122552: Show, that if p and q are two solutions of a quadratic equation ax^2 + bx + c = 0 (a cannot equal zero) then p + q = -b/a and p * q = c/a
I would really appreciate help with this problem!

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Question 1122567: True or False? Explain your answer briefly.
(a) For any real number c , the quadratic equation x^2 + x - c^2 = 0 has two distinct (real) solutions.
(b) If a > 4 , then the equation ax^2 + 4x + 1 = 0 has no (real) solutions.
(c) If b^2 − 4ac ≥ 0, then the quadratic equation ax^2 + bx + c = 0 has at most one solution.
Help with this question would be greatly appreciated!

Click here to see answer by greenestamps(13195) About Me 
Question 1122567: True or False? Explain your answer briefly.
(a) For any real number c , the quadratic equation x^2 + x - c^2 = 0 has two distinct (real) solutions.
(b) If a > 4 , then the equation ax^2 + 4x + 1 = 0 has no (real) solutions.
(c) If b^2 − 4ac ≥ 0, then the quadratic equation ax^2 + bx + c = 0 has at most one solution.
Help with this question would be greatly appreciated!

Click here to see answer by josmiceli(19441) About Me 
Question 1122567: True or False? Explain your answer briefly.
(a) For any real number c , the quadratic equation x^2 + x - c^2 = 0 has two distinct (real) solutions.
(b) If a > 4 , then the equation ax^2 + 4x + 1 = 0 has no (real) solutions.
(c) If b^2 − 4ac ≥ 0, then the quadratic equation ax^2 + bx + c = 0 has at most one solution.
Help with this question would be greatly appreciated!

Click here to see answer by ikleyn(52748) About Me 
Question 1122567: True or False? Explain your answer briefly.
(a) For any real number c , the quadratic equation x^2 + x - c^2 = 0 has two distinct (real) solutions.
(b) If a > 4 , then the equation ax^2 + 4x + 1 = 0 has no (real) solutions.
(c) If b^2 − 4ac ≥ 0, then the quadratic equation ax^2 + bx + c = 0 has at most one solution.
Help with this question would be greatly appreciated!

Click here to see answer by Alan3354(69443) About Me 

Question 1122568: Prove if 0 < a ≤ b, then a^2 ≤ b^2 and √a ≤√b.
Thanks in advance for the help.

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Question 1122647: What 2 numbers multiply to get -154 and subtract to get a -3???
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Question 1122717: write a quadratic equation whose zeroes are 5,-5
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Question 1122784: Write a quadratic model for (-4,8) (-1,5) (1,13)

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Question 1122784: Write a quadratic model for (-4,8) (-1,5) (1,13)

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Question 1122966: A real estate company owns 228 efficiency apartments, which are fully occupied when the rent is $990 per month. The company estimates that for each $25 increase in rent, 5 apartments will become unoccupied. What rent should be charged so that the company will receive the maximum monthly income?
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Question 1122990: if x2 -2x +1 has x-z as a factor, find k

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Question 1122994: what is the value of (y-1)3/y-3y+1,if y=0.1
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Question 1123008: the perimeter of a rectangle is 68 kilometers. if the length is 2 kilometers less than three times the width, what is the length of the rectangle
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Question 1122569: Let a, b be two positive numbers.
Decide whether the given statement is true or false. Give a proof or a counterexample.
(a) If a + b ≤ 1/2, then ((1 − a)/a) * ((1 − b)/b) ≥ 1 .
(b) If ((1 − a)/a)* ((1 − b)/b) ≥ 1, then a + b ≤ 1/2
Thank you for your time and help!

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Question 1123049: freeml byGMO

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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, 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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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