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

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Question 911573: Sketch the graph of: 𝑥 = (1/4)𝑦^2 − 2𝑦 − 1
Click here to see answer by stanbon(75887) About Me 

Question 911571: y=1/4x-6
Click here to see answer by Fombitz(32388) About Me 

Question 911921: Using a graphing calculator to find intervals on which the function is increasing or decreasing.
f(x)=8x/x^2+1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 911973: What is the slope? (-2,-3)(-4,1)
Click here to see answer by MathLover1(20849) About Me 

Question 912018: A curve has an equation of y=xe%5Ex. The curve has a stationary point at P.
(i)Find,in terms of e, the coordinates of P and determine the nature of this stationary point.
The normal to the curve at the point Q (1,e) meets the x-axis at R and the y-axis at S.
(ii)Find in terms of e, the area of the triangle ORS, where O is the origin.

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

Question 912093: Draw the graph of the equation y = x^2 - 4x + 3 by taking the value of x from -3 to 3. Also find the vertex.
How can I plot it, please provide step by step solution.
Thank you so much.

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

Question 912117: find an equation of the line that contains the following pair of points:
(-4/1/8) and (1/1/8)

Click here to see answer by ewatrrr(24785) About Me 

Question 912325: Draw a graph of parabola y=x∧2+4x+1. Use values of x with -5< x <1,to make your table of values.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 912360: a) Express the equation in the form y = mx + b,
b) find the slope and the y-intercept and
c) sketch the graph of the linear function:
y - 2 = -3 (x-1)

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

Question 912357: Graph each linear function using the intercepts.
a. 3x-2y = 6
b. y = -2x+3

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

Question 912531: Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.
(-2,-6) and (0,0)

Click here to see answer by stanbon(75887) About Me 

Question 912578: Identify the solution(s) of the system of equations, if any.
-6x - 4y = 6
12y = -18x - 18
I cannot remember how to solve this problem. Can you help?

Click here to see answer by ewatrrr(24785) About Me 
Question 912578: Identify the solution(s) of the system of equations, if any.
-6x - 4y = 6
12y = -18x - 18
I cannot remember how to solve this problem. Can you help?

Click here to see answer by richwmiller(17219) About Me 

Question 912645: solve multi step inequalities 8(z-3)<2(3-z)
and 1-3(a+2)>4(1-a)
one step inequalities-8w<12

Click here to see answer by jim_thompson5910(35256) About Me 

Question 912773: Solve the word problem using linear inequalities.
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles, the car ran out of gas. What is the range amount of the gas (in gallons) that was in the tank at the start of the trip?

Click here to see answer by josgarithmetic(39617) About Me 
Question 912773: Solve the word problem using linear inequalities.
A car that averages 25 miles per gallon has a tank that holds 20 gallons of gas. After a trip that covered at least 300 miles, the car ran out of gas. What is the range amount of the gas (in gallons) that was in the tank at the start of the trip?

Click here to see answer by MathTherapy(10551) About Me 

Question 912771: a) Express the equation in the form y = mx + b,
b) find the slope and the y-intercept and
c) sketch the graph of the linear function:
3x + 2y - 5 = 0

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

Question 912704: Suppose the sales of a particular brand of appliance satisfy the relationship S(x)=100x-5300, where S(x) represents the number of sales in year x, with x=0 curresponding to 1982. In what year would the sales be 5900?
Click here to see answer by josmiceli(19441) About Me 

Question 912820: how do you do y=(x+6)(x-2)
Click here to see answer by Fombitz(32388) About Me 

Question 912889: I am trying to figure out how to graph the function y=4x-4
Click here to see answer by Alan3354(69443) About Me 

Question 912909: Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x − 7.

Click here to see answer by ewatrrr(24785) About Me 

Question 912907: Describe the transformation from the graph of f(x) = x + 3 to the graph of g(x) = x − 7.
Options:
The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 up 10 units.

The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 4 units.
The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 up 4 units.
OR
The graph g(x) = x − 7 is the result of translating the graph of f(x) = x + 3 down 10 units.

Click here to see answer by ewatrrr(24785) About Me 

Question 912924: graph line given points (2,-8)(-1,4) and find the slope
Click here to see answer by ewatrrr(24785) About Me 

Question 913025: please help me solve this. Solve the following inequality and graph it. x^2+3x<10
Click here to see answer by MathLover1(20849) About Me 

Question 913038: How do you graph x+2y=-1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 913167: My 7th grader is stumped with his math homework and I don't know how to help him. Here is the problem: Write each interval as an inequality, then graph the solutions.
Problem 1: (infinity, -1) or (1, infinity)
Problem 2.: (0, infinity)
Thanks in advance for your help,
Tom

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

Question 913420: trying to solve compound inequality 12-x>15 or 7x-13>1
Click here to see answer by josgarithmetic(39617) About Me 

Question 913737: How would I graph the following?
Or can you at least explain the problem to me and how it would look?
graph x - 3 | > -1/2
Thank you!
Jesse

Click here to see answer by rothauserc(4718) About Me 

Question 913733: x - 3 | > -1/2
Click here to see answer by Fombitz(32388) About Me 

Question 913922: What is the correct graphing of the equation 3y=2x+3
Click here to see answer by ichigo449(30) About Me 

Question 913959: Hi can please help me to solve this problem? Thank you for your time and efforts. Here is the question? Determine whether each equation has the given ordered pair as a solution:
10 x - y =10;(0,0)

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

Question 914051: Please help me to solve this problem. Thank you in advance for helping to solve this problem. Have a great day. Here is the question? Find the slope of the line passing though the given points:
(-2,8) and (-2,15)

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

Question 914052: Please help me to solve this problem. Thank you in advance for helping to solve this problem. Have a great day. Here is the question? Find the slope and y-intercept of the line with the given equation:
y = 6x - 1

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

Question 914049: Please help me to solve this problem. Thank you in advance for helping to solve this problem. Have a great day. Here is the question? Find the x-and y-intercepts of the graph of each equation. Do not graph the line.
-9x -5y = 25

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

Question 914046: Please help me to solve this problem. I thank you in advance for your time and efforts. Here is the question? For each equation, complete the solution of the ordered pair
7x + y = -12; ( , 2)

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

Question 914128: how to draw functions with numerators and denominators if their x's were all to the power of one such as f(x)=3x-1/x+2 and if the functions had different x powers.
Thank you

Click here to see answer by ewatrrr(24785) About Me 

Question 914368: please graph the inequality 4x - 6y >= 10
I need this asap before 10-20-14 8pm est
than you for solving and explaining your steps to solve to me.

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

Question 914399: Hi there, I'm stuck on this problem, could you help me with it?
Directions: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 4 x^2, but with vertex at (-10, -14).
Thank you!

Click here to see answer by lwsshak3(11628) About Me 

Question 914461: I really need your help in solving this problem. Your time and efforts will be very much appreciated. Here is the question? Graph the solution of each system:
(x + y > 2
(x - y < -2

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

Question 914453: Hello there, would you help me with this problem?
Write an equation in standard form of the parabola that has vertex (-7, -6) and passes through the point (4, 236).
Using the average rate of change equation, I got the slope of 22 but am unsure of how to find the rest of the equation.
Thank you!

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

Question 914534: How do I graph the system and write it's solution

2x+y=-6
y=-1/2x-3

Click here to see answer by ewatrrr(24785) About Me 

Question 914660: Graph the equation
Y=x+4

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

Question 914672: Find points and graph the equation
Y=X+4

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

Question 915564: Two times the difference of a number decreased by five is fourteen. What is the number?
Click here to see answer by ewatrrr(24785) About Me 

Question 915562: Write an equation in point slope form with (8,5) and (4,-4).
I have come up with y-5=9/4x-18 but am unsure if I am working correctly.

Click here to see answer by ewatrrr(24785) 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, 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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