Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1135561: The length of a rectangle is 1cm less than twice it’s width. The area is 45 cm ^2. What are the dimensions of the rectangle?
Click here to see answer by Alan3354(69443) About Me 

Question 1135639: The product of (2x - 1)(x + 6) is:?
Click here to see answer by MathLover1(20849) About Me 

Question 1135625: A rectangular frame is placed around a watercolor painting. The width of the frame is consistent around the painting. The dimensions are of the painting are 24 inches by 18 inches. What is the width of the frame if the area of the frame is 400 squares inches?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1135703: The value of Jennifer’s stock portfolio is given by the function f(t) = 50 + 73t − 3t 2 , where f(t) is the value of the portfolio in hundreds of dollars and t is the time in years. Find and interpret the average rate of change of f over the interval {t| 6 ≤ t ≤ 10 } = [6, 10]
Click here to see answer by ikleyn(52781) About Me 

Question 1135718: Explain why the equation x(x+4)=12 cannot be solved by solving the two equations x=12 and x+4=12.
Click here to see answer by Alan3354(69443) About Me 
Question 1135718: Explain why the equation x(x+4)=12 cannot be solved by solving the two equations x=12 and x+4=12.
Click here to see answer by ikleyn(52781) About Me 
Question 1135718: Explain why the equation x(x+4)=12 cannot be solved by solving the two equations x=12 and x+4=12.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1135748: The following information relate to Kathurima Ltd, a dealer in standard wooden furniture on the outskirts of the city of Nairobi. The company realized profits of Sh. 120,000 from 7 tables, Sh. 124,000 from 9 tables and Sh. 113,000 from 4 tables made and sold. Kathurima has now approached you for assistance in forecasting future profits. The profit function is believed to be quadratic in nature. What will be Kathurima Ltd’s profit function to be used in forecasting?
Click here to see answer by Boreal(15235) About Me 

Question 1135779: At the end of two years, P dollars was invested at an interest rate compounded anually increases to the amount,A dollars. Find the interest rate if 2000 was increased to 2420 in 2 years

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Question 1135834:
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Question 1136021: Ayesha is making a pillow sham by sewing a border onto an old pillow case. The rectangular pillow case measures 18 in by 27 in. When she sees a border of a uniform width around the pillowcase, the total area of the surface of the pillow sham will be 792 in ^2 . How wide is the border? Write an equation.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1136065: Solve using the quadratic formula.
0=-3x^2+11x-5
x={

Click here to see answer by Boreal(15235) About Me 
Question 1136065: Solve using the quadratic formula.
0=-3x^2+11x-5
x={

Click here to see answer by MathLover1(20849) About Me 

Question 1136384: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.
(h, k) = (−3, −1), (x, y) = (−5, 3)
* can someone help? So far I’ve gotten 1/4(x+3)^2-1, but it is incorrect. I’ve plugged the given numbers into their respective places in the formula, y=a(x-h)^2+k, but am lost where I’m going wrong. Thank you.

Click here to see answer by MathLover1(20849) About Me 

Question 1136663: b=a+c, than the equation ax2+bx+c=0 has
a) real root b)no real root c) equal root d) no root

Click here to see answer by Theo(13342) About Me 

Question 1136671: Twice last​ month, Judy Carter rented a car in​ Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily​ fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4​ days, she drove 390 ​miles, and the rental cost her ​$260.50. On her second business trip she drove 190 miles in 3​ days, and paid ​$159.50 for the rental. Find the daily fee and the mileage charge.
Click here to see answer by ikleyn(52781) About Me 

Question 1136669: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 115.  Two adults and three children must pay $ 82.  Find the price of the​ adult's ticket and the price of a​ child's ticket.

Click here to see answer by ikleyn(52781) About Me 

Question 1136670: Norman and Suzanne own 28 shares of a fast food restaurant stock and 68 shares of a toy company stock. At the close of the markets on a particular day in​ 2004, their stock portfolio consisting of these two stocks was worth ​$1488.00. The closing price of the fast food restaurant stock was ​$24 more per share than the closing price of the toy company stock on that day. What was the closing price of each stock on that​ day?
Click here to see answer by ikleyn(52781) About Me 

Question 1136675: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 129.  Two adults and three children must pay $ 92.  Find the price of the​ adult's ticket and the price of a​ child's ticket.
Click here to see answer by ikleyn(52781) About Me 

Question 1136665: plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$74.47. How much does an average movie ticket cost in each of these​ countries?
Click here to see answer by ikleyn(52781) About Me 

Question 1136682: Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 129.  Two adults and three children must pay $ 92.  Find the price of the​ adult's ticket and the price of a​ child's ticket.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1136681: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$78.03 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$74.47. How much does an average movie ticket cost in each of these​ countries?
Click here to see answer by ikleyn(52781) About Me 

Question 1136679: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$78.03 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$74.47. How much does an average movie ticket cost in each of these​ countries?
Click here to see answer by ikleyn(52781) About Me 

Question 1136706: Find the values for a for which the graph y=a^2x^2-2ax-a+1
1) crosses the x-axis
2) does not cross the x-axis

Click here to see answer by MathLover1(20849) About Me 

Question 1136708: Consider the quadratic equation ax^2+10x+(a-5)
Find the values for a for which there are
1) two solutions
2) no solutions
3) 1 solution

Click here to see answer by MathLover1(20849) About Me 
Question 1136708: Consider the quadratic equation ax^2+10x+(a-5)
Find the values for a for which there are
1) two solutions
2) no solutions
3) 1 solution

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

Question 1136732: The curve of the tunnel is represented by the equation y= - x^2+3.The width of the road is 7m. Calculate the maximum height, in m,of the tunnel.
Click here to see answer by ikleyn(52781) About Me 

Question 1136767: Write the expression f(x) = -6xsquare +5x+2 in the form k+a(x+h)square, Hence, solve the equation f(x)=0
Click here to see answer by MathLover1(20849) About Me 
Question 1136767: Write the expression f(x) = -6xsquare +5x+2 in the form k+a(x+h)square, Hence, solve the equation f(x)=0
Click here to see answer by MathTherapy(10552) About Me 

Question 1136766: The denominator of a fraction is greater than its numerator, m, by 5. If one is subtracted from both the numerator and the denominator, then the fraction is decreased by 5/42. Prove that m square+9m-22=0
Click here to see answer by greenestamps(13200) About Me 

Question 1136797: Mellie plans to make a patio 12 feet by 12 feet. She decides to add a border of equal width around the patio to increase the total area to 180 square feet.
What is the width of this border, to the nearest tenth of a foot?
Answer Choices:
x=0.4
x=0.7
x=6.7
x=7.4
x=12.7

Click here to see answer by josgarithmetic(39617) About Me 
Question 1136797: Mellie plans to make a patio 12 feet by 12 feet. She decides to add a border of equal width around the patio to increase the total area to 180 square feet.
What is the width of this border, to the nearest tenth of a foot?
Answer Choices:
x=0.4
x=0.7
x=6.7
x=7.4
x=12.7

Click here to see answer by ikleyn(52781) About Me 

Question 1136863: Tobi bought 100 oranges at the rate of x oranges for #4 and sold them at the rate of 4 oranges for #x there by making a profit of #45. Find the value of x
Click here to see answer by ikleyn(52781) About Me 

Question 1136993: A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance in feet of the ball from the ground after t second is s(t)= 80t-16t^2
Click here to see answer by Alan3354(69443) About Me 
Question 1136993: A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance in feet of the ball from the ground after t second is s(t)= 80t-16t^2
Click here to see answer by ikleyn(52781) About Me 

Question 1137023: g(x) = 2(x+1)^2 -7
g(x)= 2(x-1)^2 +4
what are they both a factor of , how many units are they translated on both sides & up or down

Click here to see answer by josgarithmetic(39617) About Me 

Question 1137057: The length of a rectangular park is twice it’s width. The park is surrounded by 3 foot wide path. Write a quadratic function to represent the total area of the park and the path.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1137057: The length of a rectangular park is twice it’s width. The park is surrounded by 3 foot wide path. Write a quadratic function to represent the total area of the park and the path.
Click here to see answer by Alan3354(69443) About Me 

Question 1137058: In object is thrown off a platform that is 15 feet high with an initial velocity of 8.5 feet/S. What function models the height H open the object after T seconds?
Click here to see answer by Alan3354(69443) About Me 

Question 1137107: Determine the equation in standard form for this quadratic function: x intercepts at (-2 +/- √5), containing the point (-4,5)
Click here to see answer by josgarithmetic(39617) About Me 

Question 1137143: What is the maximum height of the equation
y= -.015x^2 - 275x

Click here to see answer by Theo(13342) About Me 

Question 1137232: Use the exponential regression function f(t) = 1.5703e .03x to estimate the amount of board feet (in 100’s of feet) for a 140 year old tree. (No work required.)






EXTRA CREDIT (6 points) Show algebraic work (no extra credit without work.) Estimate the age of a tree that provides 100 board feet (in 100’s of board feet). In other words, solve the equation 100 = 1.5703e .03x for x. (Hint: use logarithms.)

Click here to see answer by Boreal(15235) About Me 

Question 1137366: A building is 1 ft from a 9​-ft fence that surrounds the property. A worker wants to wash a window in the building 12 ft from the ground. He plans to place a ladder over the fence so it rests against the building.​ (See the​ figure.) He decides he should place the ladder 7 ft from the fence for stability. To the nearest tenth of a​ foot, how long a ladder will he​ need?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1137366: A building is 1 ft from a 9​-ft fence that surrounds the property. A worker wants to wash a window in the building 12 ft from the ground. He plans to place a ladder over the fence so it rests against the building.​ (See the​ figure.) He decides he should place the ladder 7 ft from the fence for stability. To the nearest tenth of a​ foot, how long a ladder will he​ need?
Click here to see answer by ikleyn(52781) About Me 

Question 1137363: Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 442 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by josgarithmetic(39617) 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, 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, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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