Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 1118777: The graphs of y = -|x-a|+b and y = |x-c|+ d intersect at points (2 , 5)
and (8, 3 ). Find a+c
Click here to see answer by greenestamps(13198)

Question 1118777: The graphs of y = -|x-a|+b and y = |x-c|+ d intersect at points (2 , 5)
and (8, 3 ). Find a+c
Click here to see answer by ikleyn(52778)

Question 1118894: Is the function y = x-7 a one-to-one function?
Click here to see answer by solver91311(24713)

Question 1118893: I have the following question:
If h(x)= 10-x2 (squared), then determine the value of h(f(2)). Please explain how are came up with answer. Thank you.
Click here to see answer by josgarithmetic(39617)

Question 1118653: Evaluate : int((2f(x)+f(3-x))/(f(x)+f(3-x)))dx on [0,3]
Click here to see answer by t0hierry(194)

Question 1118962: Graph each equation. let x= -3,-2,-1,0,1,2,3 y=2x-2

Graph the equation. y=-3x. Let x=-3,-2,-1,0,1,2 and 3.
Click here to see answer by josgarithmetic(39617)

Question 1118962: Graph each equation. let x= -3,-2,-1,0,1,2,3 y=2x-2

Graph the equation. y=-3x. Let x=-3,-2,-1,0,1,2 and 3.
Click here to see answer by ikleyn(52778)

Question 1118962: Graph each equation. let x= -3,-2,-1,0,1,2,3 y=2x-2

Graph the equation. y=-3x. Let x=-3,-2,-1,0,1,2 and 3.
Click here to see answer by Shin123(626)

Question 1119065: find the equation that passes through (5,-3) and has a slope of -2

Click here to see answer by josgarithmetic(39617)

Question 1119270: 5x+2y=12 what is x and y
Click here to see answer by Shin123(626)

Question 1119254: 5(a)complete the table for the function f (x ) = (x^3/2)-3x -1
X |-3 |-2|-1.5|-1 |0 |1 |1.5 |2 |3 |3.5|
Y |-5.5|1 | 1.8|1.5|-1|-3.5|-3.8|-3|3.5|9.9|

b) on the grid draw the graph of y=f (x) for -3 <\=x <\=3.5
C)(i) find them inequalities for k , so that f (x) =k has only 1 answer .
Click here to see answer by Alan3354(69443)

Question 1119298: Can you please help me graph these inequalities?
0<2x-y+2
3y>8x-24
Click here to see answer by ankor@dixie-net.com(22740)

Question 1119332: The graph of the function h(x) is shown. Find the function values h(5), h(7), and h(8).

Click here to see answer by josgarithmetic(39617)

Question 1119169: A mass is attached to a spring at one end and secured to a wall at the other end. When the mass is pulled away from the wall and released, it moves back and forth (oscillates) along the floor.
If there is no friction between the mass and the floor, and no drag from the air, then the displacement of the mass versus time could be modelled by a sinusoidal function. Because of friction, however, the speed of the mass is reduced, which causes the displacement to decrease exponentially with each oscillation.
The displacement function d(t) is a combination of functions: d(t) 5 f (t)g(t) 1 r.
Consider the following situation:
� The mass is at a resting position of r 5 30 cm.
� The spring provides a period of 2 s for the oscillations.
� The mass is pulled to d 5 50 cm and released. � After10s,thespringisatd533cm.
A. Make a sketch of the displacement versus time graph to ensure that you understand this situation.
B. Write the general equation of the function that models this situation, with the necessary parameters.
C. Use the information provided to determine the values of the parameters, and write the equation of the model.
D. Graph the function you determined in part C using graphing technology. Check that it models the motion of the mass correctly.
E. Write the function for displacement that would be correct if there were no damping of the motion due to friction.
F. Calculate the displacement at 7.7 s for each model you determined in parts C and E, and compare your results.
G. Estimate the instantaneous speed of the mass at 7.7 s for each model, and compare your results.
Click here to see answer by greenestamps(13198)

Question 1119428: Without the derivative find the value of minima of
(x+1)(x+2)(x+3)(x+4)
Click here to see answer by Shin123(626)

Question 1119428: Without the derivative find the value of minima of
(x+1)(x+2)(x+3)(x+4)
Click here to see answer by ikleyn(52778)

Question 1119434: the profit earning for ABC company are reported quarterly. The earnings as a percentage of the yearly earnings for 1992 are shown in the pie chart. If the total earnings for the year 480,000 what were the earnings for the third quarter.
1st quarter- 15%
2nd quarter- 20%
3rd quarter-25%
4th quarter-40%
Click here to see answer by stanbon(75887)

Question 1119467: . A and B are working on similar jobs but their annual salaries differ by more than Rs 6000. If B earns rupees 27000 per month, then what are the possibilities of A's salary per month?
Click here to see answer by Alan3354(69443)

Question 1119477: If one root of k(x − 1)2 = 5x−7 is double the other root, show that k = 2 or −25.
Click here to see answer by josgarithmetic(39617)

Question 1119501: A quadratic polynomial has one of its zeros 1 + √ 5 and it satises p(1) = 2. Find the quadratic
Click here to see answer by josgarithmetic(39617)

Question 1119502: If the difference of the roots of the equation 2x2 − (a +1)x+a−1 = 0 is equal to their product, then prove that a = 2. 6. Find the condition that one of the roots of ax2 + bx + c may be (i) negative of the other, (ii) thrice the other, (iii) reciprocal of the other. 7. If the equations x2 −ax+b = 0 and x2−ex+f = 0haveoneroot in common and if the second equation has equal roots, then prove that ae = 2(b + f). 8. Discuss the nature of roots of (i) −x2 + 3x + 1 = 0, (ii) 4x2 − x −2 = 0, (iii) 9x2 +5x = 0. 9. Without sketching the graphs, nd whether the graphs of the following functions will intersect the x-axis and if so in how many points. (i) y = x2 +x+2,(ii) y = x2 −3x−7,(iii) y = x2 +6x+9.
Click here to see answer by ikleyn(52778)

Question 1119520: If the equations x2 −ax+b = 0 and x2−ex+f = 0haveoneroot in common and if the second equation has equal roots, then prove that ae = 2(b + f).
Click here to see answer by ikleyn(52778)

Question 1119519: Find the condition that one of the roots of ax2 + bx + c may be (i) negative of the other, (ii) thrice the other, (iii) reciprocal of the othe
Click here to see answer by ikleyn(52778)

Question 1119699: Find the polynomial function if the x-intercepts are -1,1,2, y-intercept is (0,1), and the graph has 3 turns and is facing downward. Thanks for your help!
Click here to see answer by greenestamps(13198)

Question 1119689: Example:
The table below displays data that relates the number of oil changes per year and the cost of engine repairs. Find the linear model for the data. Interpret the meaning of the slope and y-intercept.

# of oil changes: Repair Costs in Dollars:
1 700
2 625
3 475
4 400
5 310
6 180
7 150
The first step is deciding which variable is the dependent variable. In this instance, the cost of repairs would depend on the number of oil changes (routinely getting oil changes would lessen the need for engine repairs). To get our linear model, we can choose two points, calculate the slope, and then find the equation. Let's choose the points (2, 625) and (6, 180).
m=180-625/6-2=-$111.25/oil change
y=mx+b
180=-111.25*6+b
847.5=b
y=-111.25x+847.5
Looking at the units on our slope, we see that our engine repair costs decrease by $111.25 with each additional oil change. The y-intercept is the value of our function at 0 or with no oil changes, so we would expect engine repair costs to be $847.50 if we didn't perform any routine oil changes on the vehicle.
Question:
Using the equation above, find the repair costs for 5 oil changes. Round to the nearest cent and leave off the $ symbol.
Click here to see answer by stanbon(75887)

Question 1119723: Using the TI-84 equation solve ( y = �96.60714286x + 792.1428571), calculate the repair costs for 3 oil changes. Round to the nearest cent and leave off the $ symbol. Use all the displayed digits and do not round until the final step.
Click here to see answer by Alan3354(69443)

Question 1119820: Help please.
I don�t think I�m doing it right.
Write the slope-intercept form of the equation of the line through the given points.
(5, -5) and (-3, 4)
Am I supposed to find the slope first? m=y2-y1/x2-x1?
If so, what do you do after that.
I found 2 different slopes: 9 -9
- � & �
2 8
Any help is appreciated!

Click here to see answer by josgarithmetic(39617)

Question 1119841: Complete 30��60�= ......
Click here to see answer by ikleyn(52778)

Question 1119841: Complete 30��60�= ......
Click here to see answer by Alan3354(69443)

Question 1119839: complet 30��60�= ......
Click here to see answer by ikleyn(52778)

Question 1119960: I need help with compound ineq
uality
Click here to see answer by ikleyn(52778)

Question 1119605: Factoring:
(ax+3y)^2-(1-6a)(x^2+y^2)+(3x-ay)^2
Click here to see answer by Fombitz(32388)

Question 1120065: what type of funtion is f(x)=6/x
Click here to see answer by ikleyn(52778)

Question 1120102: Find all values of x that satises the inequality f(x)=(2x −3)/(x −2)(x−4) < 0.
Click here to see answer by greenestamps(13198)

Question 1120102: Find all values of x that satises the inequality f(x)=(2x −3)/(x −2)(x−4) < 0.
Click here to see answer by ikleyn(52778)

Question 1120100: Solve x^2 −4 /x2 −2x−15 ≤0.
Click here to see answer by greenestamps(13198)

Question 1120099: Find all values of x for which x^3(x − 1)/ (x −2) >0.
Click here to see answer by ikleyn(52778)

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