Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1196509: I have been struggling with a word problem. The problem is "Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?"
I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as "x" and miles in as "y" and putting them equal to the total rental charge, then solving for "x" and "y". Obviously I'm not solving anything with that arrangement. I have tried making a "tic tac toe" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you.
Click here to see answer by math_tutor2020(3816)  |
Question 1196509: I have been struggling with a word problem. The problem is "Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?"
I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as "x" and miles in as "y" and putting them equal to the total rental charge, then solving for "x" and "y". Obviously I'm not solving anything with that arrangement. I have tried making a "tic tac toe" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you.
Click here to see answer by ikleyn(52754)  |
Question 1196509: I have been struggling with a word problem. The problem is "Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?"
I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as "x" and miles in as "y" and putting them equal to the total rental charge, then solving for "x" and "y". Obviously I'm not solving anything with that arrangement. I have tried making a "tic tac toe" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you.
Click here to see answer by josgarithmetic(39613) |
Question 1196509: I have been struggling with a word problem. The problem is "Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?"
I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as "x" and miles in as "y" and putting them equal to the total rental charge, then solving for "x" and "y". Obviously I'm not solving anything with that arrangement. I have tried making a "tic tac toe" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you.
Click here to see answer by MathTherapy(10549)  |
Question 1196745: use the quadratic formula to determine the times when an object launched vertically from the surface of the earth at an initial speed of 40m/s reaches a height of 50 meters. Include a sketch with the solution.
Click here to see answer by ikleyn(52754) |
Question 1196808: Sketch the following functions by first solving for the x intercepts using the quadratic formula. If there are no x intercepts then use the method explained in class...this makes use of the fact that raising or lowering a parabola by some amount does not change the x coordinate of the vertex. So...remove the constant from the right side, factor what's left to determine x intercepts. The average of those is the x coordinate of the vertex. Then substitute that back into the original equation to solve for the y coordinate of the vertex.
y = 3x^2+15x+30 AND y = -x^2+4x-8
Click here to see answer by josgarithmetic(39613) |
Question 1196808: Sketch the following functions by first solving for the x intercepts using the quadratic formula. If there are no x intercepts then use the method explained in class...this makes use of the fact that raising or lowering a parabola by some amount does not change the x coordinate of the vertex. So...remove the constant from the right side, factor what's left to determine x intercepts. The average of those is the x coordinate of the vertex. Then substitute that back into the original equation to solve for the y coordinate of the vertex.
y = 3x^2+15x+30 AND y = -x^2+4x-8
Click here to see answer by ewatrrr(24785)  |
Question 1196808: Sketch the following functions by first solving for the x intercepts using the quadratic formula. If there are no x intercepts then use the method explained in class...this makes use of the fact that raising or lowering a parabola by some amount does not change the x coordinate of the vertex. So...remove the constant from the right side, factor what's left to determine x intercepts. The average of those is the x coordinate of the vertex. Then substitute that back into the original equation to solve for the y coordinate of the vertex.
y = 3x^2+15x+30 AND y = -x^2+4x-8
Click here to see answer by MathLover1(20849)  |
Question 1196808: Sketch the following functions by first solving for the x intercepts using the quadratic formula. If there are no x intercepts then use the method explained in class...this makes use of the fact that raising or lowering a parabola by some amount does not change the x coordinate of the vertex. So...remove the constant from the right side, factor what's left to determine x intercepts. The average of those is the x coordinate of the vertex. Then substitute that back into the original equation to solve for the y coordinate of the vertex.
y = 3x^2+15x+30 AND y = -x^2+4x-8
Click here to see answer by MathTherapy(10549) |
Question 1196849: A quadratic function is defined by . A linear function is defined by g(x) = - 0.5x + k. a) Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth.
b) Sketch a graph of your answer.
c) Determine the values of k so that the line intersects the parabola at two points.
Click here to see answer by greenestamps(13195)  |
Question 1196849: A quadratic function is defined by . A linear function is defined by g(x) = - 0.5x + k. a) Determine the value of k so that the line intersects the parabola at exactly one point. Write your answer to the nearest hundredth.
b) Sketch a graph of your answer.
c) Determine the values of k so that the line intersects the parabola at two points.
Click here to see answer by Alan3354(69443)  |
Question 1196882: use the quadratic formula to determine the times when an object launched vertically from the surface of the earth at an initial speed of 30m/s reaches a height of 20 meters. Include a sketch with the solution.
Click here to see answer by ikleyn(52754) |
Question 1196884: determine the number of intersection points between the two functions below, in terms of the parameter k. Begin with a sketch of the three unique solutions then solve to show how your solutions agrees with your sketch.
y =x (x-8) and y=2x+k
Click here to see answer by ikleyn(52754) |
Question 1197264: Larissa always uses the full quadratic formula to determine the # of zeroes that a quadratic function has. What could we tell her that would help her understand that she only needs to evaluate the discriminant?
2. What are the advantages and disadvantages in determining the points of intersection of a given linear quadratic system using the algebraic method verses the graphical method?
Click here to see answer by ikleyn(52754) |
Question 1197264: Larissa always uses the full quadratic formula to determine the # of zeroes that a quadratic function has. What could we tell her that would help her understand that she only needs to evaluate the discriminant?
2. What are the advantages and disadvantages in determining the points of intersection of a given linear quadratic system using the algebraic method verses the graphical method?
Click here to see answer by josgarithmetic(39613) |
Question 1197410: 3x^4-4x^3+x^2+6x-2
a. State the degree of the polynomial.
b. State the number of zeros the polynomial function will have.
c. Use the Rational Zero Theorem to list all of the possible rational zeros
d. Use your calculator to determine which numbers in the list of rational zeros are probable rational
zeros.
e. Use synthetic division to verify one rational zero.
f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros
of the polynomial function.
Click here to see answer by josgarithmetic(39613) |
Question 1197470: A rectangular garden is surrounded by a walk of uniform width.
The area of the garden plus the walk is 80 square yards. If the
dimensions of the garden is 6 yards by 4 yards. Find the
dimensions of the garden plus the walkway. Must show work
to receive credit.
Click here to see answer by Alan3354(69443) |
Question 1197474: Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 31 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 253 square feet of carpeting. What dimensions should the rug have?
Click here to see answer by ikleyn(52754) |
Question 1197478: A projectile is fired from a cliff 200 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 340 feet per second. The height h of the projectile above the water is given by ((-32x^2/(340^2) + x+200 where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.
Click here to see answer by ewatrrr(24785) |
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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, 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, 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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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