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

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Question 1004763: Please help me graph this equation: g(x)=7x-4 and h(x)=-6x+3
Click here to see answer by stanbon(75887) About Me 

Question 1004824: The number of students attending a leadership conference depends on the price charged. It is determined that 20 students will attend the conference if each is charged $75. For each $10 increase in price, 1 fewer student will attend. This situation is represented by the equation y=(75 + 10x)(20 - x). The cost of running the conference is represented by the equation y = 1000 + 75x.
For each equation, identify what each variable represents.
Thank you!

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

Question 1004816: The gear ratio between two gears is 4.5:1. If the longer gear has 64 teeth,how many teeth does the smaller gear has?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1004808: Solve:
2/(x-1) - 1/2 = 4/(x^2-1)

Click here to see answer by mananth(16946) About Me 

Question 1004758: F(x)=-25+5x
Click here to see answer by Fombitz(32388) About Me 

Question 1004935: A picture measures 12cm by 8cm and is surrounded by a frame whose area is 52cm squared. Find the width of the frame in cm correct to 3 significant figures.
Click here to see answer by fractalier(6550) About Me 

Question 1004948: Hi and thank you for helping me. This problem confused me a lot. "Using the slope-intercept form of a line, find the equation of the line with slope and y-intercept -2. Then graph the line on the grid provided and explain how you determined you graph." That was the question presented to me. I would be very grateful to anyone who can help me figure out. Thank you so much!!!

Click here to see answer by addingup(3677) About Me 

Question 1004957: g(x)=x2-6x-7 find the vertex
Click here to see answer by josgarithmetic(39617) About Me 

Question 1005069:
Click here to see answer by ikleyn(52778) About Me 

Question 1005116: How would you graph x=2? Please help!
Click here to see answer by fractalier(6550) About Me 

Question 1005097:
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)= 1/(x-1)


Q−
Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1)
at the point whose x-coordinate is 1.
Find the equation of the tangent line to the curve at the point (4,1).


Q−: differentiate the following function:
f(x)=(x^2+1/x^3 )(x^3-x^2+1)
f(x)= e^((x^3+2x))


Click here to see answer by solver91311(24713) About Me 

Question 1005319: Find the equation of the line that contains the point whose coordinates are (3,1) and has slope 1/3. Use the slope-intercept form.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1005323: i do not understand how to figure out the value for x and y in these equations. then i have to put it on a graph also. this example is one problem with graph
Y = X + 1
Y = -X - 1

Click here to see answer by josgarithmetic(39617) About Me 
Question 1005323: i do not understand how to figure out the value for x and y in these equations. then i have to put it on a graph also. this example is one problem with graph
Y = X + 1
Y = -X - 1

Click here to see answer by ikleyn(52778) About Me 

Question 1005339: Solve system of linear equations by elimination
3x - 30 = y
7y - 6 = 3x

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

Question 1005462: I am having trouble with a set of questions on my daughters paper I'm helping her with. Could you please help me and explain it so I can teach it to her on how to solve it. Thank you. It says the two lines y=6x+15 and y=mx-4 intersect at x=-2. What is the y coordinate of their intersection point.....and what is the value of m. Please help me thank you for your time.
Click here to see answer by stanbon(75887) About Me 

Question 1005501: Given the graph of a function, how can you determine its domain and range?
Click here to see answer by addingup(3677) About Me 

Question 1005595: Emily is a tutor. She tutors English and Math. An hour of English cost $22 and an hour of Math is $40. Renee's dad hired her for 11 hours and paid $368. Write a system of equations and solve it.



Thank you!!

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

Question 1005609: The cost of admission to a popular concert was $162 for 12 children and 3 adults.The admission was $122 for 8 children and 3 adults at another concert. Write a system of equations and then solve it.


Thank you!!!!!

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

Question 1005599: The administration fee at the fair is $1.50 for children and $4.00 for adults.On a certain day 2200 people enter the fair and $5050 is collected.Write a system of equation and then solve it.
Click here to see answer by Cromlix(4381) About Me 

Question 1005596: The width of a rectangular swimming pool is 8 feet less than the length.The perimeter of the pool is 104 feet.Write two equations that would be used to solve the system and then solve them.


Thank you so much!!!

Click here to see answer by Cromlix(4381) About Me 

Question 1005664: y=(x-2)(|x|+2)
Click here to see answer by josgarithmetic(39617) About Me 

Question 1005696: The graph of y=2^(x-6)-8 is identical to the graph of the basic function f(x)= ________ except it is translated _______ units ________ and _______ units ________. Use translations to graph the function. Show work.
Please help fill in the blanks and graph.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1005696: The graph of y=2^(x-6)-8 is identical to the graph of the basic function f(x)= ________ except it is translated _______ units ________ and _______ units ________. Use translations to graph the function. Show work.
Please help fill in the blanks and graph.

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

Question 1005741: 6x-5y=-5
Click here to see answer by Alan3354(69443) About Me 
Question 1005741: 6x-5y=-5
Click here to see answer by fractalier(6550) About Me 

Question 1005598: During one week of basketball, Conner hit 30 shots from the floor and scored 68 points.Each shot was two point shot or a three point shot.Write a system of equations and then solve it.



Thank you so much!!!!!!

Click here to see answer by fractalier(6550) About Me 

Question 1005502: Assume that x,y, and z are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z.
In cubedroot(x^15y^9)/z

Click here to see answer by fractalier(6550) About Me 

Question 1006228: 5y+4x
Click here to see answer by Alan3354(69443) About Me 

Question 1006135: Anne has a triangular garden bed in her back yard. The measure of the largest angle is 20°
less than twice the measure of the smallest, and the measure of the middle angle is 20° more than
the measure of the smallest angle. Find the measures of the three angles. Start your work by
defining the unknown quantities in terms of a variable. Show all work and write a complete
answer, including units.

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

Question 1006425: How does one find the domain of these monsters?

H%28t%29 = +ln%28root%283%2C+%28+e%5E%28-2x%29+%286x-10%29+%29+%2F+%28%28x%5E4%2B8%29%5E7%29+%29%29+

&
L%28t%29 = +ln%28sqrt%28+%28%28x%5E2%2B5%29%5E10%29%2F%28%28e%5E%28x%5E3%29%29%284-3x%29%29+%29%29+

Please explain
Thank you

Click here to see answer by ikleyn(52778) About Me 

Question 1006452: The functions f(x)=2^−x and g(x) = −2^x have the same graph. True or false and why?
Click here to see answer by Boreal(15235) About Me 

Question 1006516: Solve the following inequalities. If the answer is DNE, show graphically why. All intervals in interval notation.
A) |x+3|<=7
B) |-x-4|> 2
C) -|x-1|> 3

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

Question 1006679: 4x=8y
2x+5y=27 solve by substitution

Click here to see answer by rfer(16322) About Me 

Question 1006731: The x-coordinate of a point that lies on the x- axis is negitive
Click here to see answer by Alan3354(69443) About Me 

Question 1006754: Solve the following inequalities:All intervals in interval notation
A) 2x^2>=7x+4
B) (x-2)(x+4)^2 (x-6)<0

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

Question 1006825: The owner writes a line of best fit equation, shown below, to model the relationship between profit earned and month.
y = 2,500x - 2,500
Explain how you know that the line of best fit equation is appropriate, mentioning both the slope and y-intercept in your response.

Click here to see answer by richard1234(7193) About Me 

Question 1006740: Paula spots a glider located at an angle of elevation of 42°. The distance between the glider and Paula is 3280 feet. To the nearest foot, what is the height of the glider h from the ground? Show your work.
Click here to see answer by Cromlix(4381) About Me 

Question 1006919: Graph f%28x%29=+%284x%5E2-16%29%2F%28x%5E2-2x-3%29Your graph should accurately show any of the following which exist: x-intercepts, y-intercepts, vertical asymptotes, horizontonal and/or slant asymptotes, symmetry, end behavior and shape.
Click here to see answer by ikleyn(52778) About Me 

Question 1006918: Graph n%28x%29=+-x%5E6-4x%5E5-4x%5E4. Your graph should accurately show any of the following which exist: x-intercepts, y-intercepts, vertical asymptotes, horizontonal and/or slant asymptotes, symmetry, end behavior and shape.
Click here to see answer by ikleyn(52778) About Me 

Question 1007004: Im trying to help my 6 th grade little girl whom gets Bs in math and she is in special education classes for ADHD . The question is create a scale for the number line in order to plot the points -2,4,and 6
Click here to see answer by josgarithmetic(39617) About Me 

Question 1007188: Draw the graph. f(x)=3^(x-3)
Click here to see answer by Alan3354(69443) About Me 

Question 1007189: Draw the graph. f(x)=(1/5)^(x-1)
Click here to see answer by Fombitz(32388) About Me 

Question 1007214: Conjunctions
2x>-6 and x less than and equal to 1

Click here to see answer by fractalier(6550) About Me 

Question 1007284: how do you find a inequalities
Click here to see answer by fractalier(6550) 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, 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