Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1129102: compare the number of x-intercepts in the graph of f(t) = t^2 to the number of x-intercepts in the graph of g(t) = (t – 8)^2. Be sure to include the transformations that occurred between the parent function f(t) and its image g(t).
Click here to see answer by stanbon(75887)  |
Question 1129101: compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Click here to see answer by stanbon(75887) |
Question 1129322: Ed is planning to put up a rectangular garden with a fixed area of 120m^2. If the dimension of the garden have to be whole numbers, determine the dimension that will require the least amount of fencing materials to enclose the garden?
Explain with solution.
Click here to see answer by greenestamps(13195)  |
Question 1129410: The O'Connors own a small janitorial service. John requires 1 and one half
hours more time to clean the Moose club by himself than Chris does working by herself. If together they can clean the club in 4 hours, find the time required by each to clean the club
Click here to see answer by josgarithmetic(39613) |
Question 1129665: For g(x)=x^3-6x^2-13x+42:
a. Prove x-2 is a factor (by using the remainder theorem).
b. Find the other factors.
Here is what I have done so far:
x^3-6x^2-13x+42
x-(2)
2|1-6-13 42
|2 -8 -42
= 1 -4 -21 0
1x^2+4x-21
x^2-4x-21= 0 Which my professor said was correct for part A.
So for B I put: There are no factors because part A is 0 and got that wrong. What did I do wrong?
Click here to see answer by MathLover1(20849)  |
Question 1129665: For g(x)=x^3-6x^2-13x+42:
a. Prove x-2 is a factor (by using the remainder theorem).
b. Find the other factors.
Here is what I have done so far:
x^3-6x^2-13x+42
x-(2)
2|1-6-13 42
|2 -8 -42
= 1 -4 -21 0
1x^2+4x-21
x^2-4x-21= 0 Which my professor said was correct for part A.
So for B I put: There are no factors because part A is 0 and got that wrong. What did I do wrong?
Click here to see answer by solver91311(24713)  |
Question 1129995: The path a tennis ball takes from a players forehand ground stroke can be modeled by the function:h(d)= 0.013(d-8)^2+1.3 . where h(d)is the height of the ball and d is the horizontal distance the ball has traveled since it was struck.
a) What is the maximum height the tennis ball reaches?
b) How far has the ball traveled horizontally from where it was struck when it reaches its
maximum height?
c) What was the height of the ball when it was struck?
d) How far did the ball travel horizontally from where it was struck to where it landed inside the court?
e) If the opponent is standing 12 meters away, at what height would she make contact with
the ball to volley it back?
f) State what represents the domain and the range in this example, then list the domain and range.
Click here to see answer by ikleyn(52748)  |
Question 1130187: The path a tennis ball takes from a players forehand ground stroke can be modeled by the function:h(d)= 0.013(d-8)^2+1.3 . where h(d)is the height of the ball and d is the horizontal distance the ball has traveled since it was struck.
a) What is the maximum height the tennis ball reaches?
b) How far has the ball traveled horizontally from where it was struck when it reaches its
maximum height?
c) What was the height of the ball when it was struck?
d) How far did the ball travel horizontally from where it was struck to where it landed inside the court?
e) If the opponent is standing 12 meters away, at what height would she make contact with
the ball to volley it back?
f) State what represents the domain and the range in this example, then list the domain and range.
Click here to see answer by ikleyn(52748) |
Question 1130327: The solubility equilibrium constant for the dissolution of copper (I) chloride into copper ions and chlorine ion is Ksp = [Cu+][Cl-].
If the solubility constant is Ksp = 1.7 × 10-7, and the concentration of chlorine (Cl-) is 0.2 mol/L greater that the concentration of copper (Cu+), what is the concentration of copper ions in solution? Round your answer to 2 significant figures.
The concentration of copper ions in solution is
Click here to see answer by ikleyn(52748) |
Question 1130327: The solubility equilibrium constant for the dissolution of copper (I) chloride into copper ions and chlorine ion is Ksp = [Cu+][Cl-].
If the solubility constant is Ksp = 1.7 × 10-7, and the concentration of chlorine (Cl-) is 0.2 mol/L greater that the concentration of copper (Cu+), what is the concentration of copper ions in solution? Round your answer to 2 significant figures.
The concentration of copper ions in solution is
Click here to see answer by josgarithmetic(39613) |
Question 1130407: Ian graphs these equations and finds the lines intersect at a single point (-2, -0.5) equation a: 4y-3x=4, equation b; -2x -8y = 8. Which statement is true about the values x/ -2 and y = -0.5?
A. They satisfy equation a but not b.
B. They are the only values that make both equations true.
C. They show that the equations represent the same line.
D. They satisfy equation B not equation A
Click here to see answer by MathLover1(20849) |
Question 1130566: The parks department is planning a new flower bed outside city hall. It will be rectangular with dimensions 9m by 6m. The flower bed will be surrounded by a path of constant width with the same area as the flower bed. Calculate the perimeter of the outside of the path.
a) set up a quadratic equation to model the situation
b) use the quadratic formula to solve the problem
im aware of the answer, however i am not sure how there is a 2 in the equation
Click here to see answer by josgarithmetic(39613) |
Question 1130566: The parks department is planning a new flower bed outside city hall. It will be rectangular with dimensions 9m by 6m. The flower bed will be surrounded by a path of constant width with the same area as the flower bed. Calculate the perimeter of the outside of the path.
a) set up a quadratic equation to model the situation
b) use the quadratic formula to solve the problem
im aware of the answer, however i am not sure how there is a 2 in the equation
Click here to see answer by ikleyn(52748) |
Question 1130803: A ball is thrown from an initial height of 2 meters with an initial upward velocity of 11 m/s. The balls height h (in meters) after t seconds is given by the following
h=2+11t-5^2
Find all values of t fro which the balls height is 7 meters.
Click here to see answer by Alan3354(69443)  |
Question 1130803: A ball is thrown from an initial height of 2 meters with an initial upward velocity of 11 m/s. The balls height h (in meters) after t seconds is given by the following
h=2+11t-5^2
Find all values of t fro which the balls height is 7 meters.
Click here to see answer by ikleyn(52748) |
Question 1131410: A diver bounces off a 3 m springboard at an initial upward speed of 4 m/s. Over what time interval is the height of the diver greater than 3.5 m above the water? Round to the nearest hundredth of a second.
h = -4.9t^2 + 4t + 3
Click here to see answer by josmiceli(19441)  |
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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, 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, 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