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

Tutors Answer Your Questions about Graphs (FREE)

Question 54328: x-2y=4
Click here to see answer by funmath(2925)

Question 54478: Given a circle: (x-4)^2 + (y+5)^2 = 5, find the equation of the line (in slope-intercept form) that is tangent to this circle at the point (3,-7). Hint: use the fact that a tangent line is perpendicular to the radius of the circle at the point where they meet.
Click here to see answer by josmiceli(9817)

Question 54362: Natalie has some nickels, Dirk has some dimes, and Quincy has some quateres. Dirk has five more dimes than Qunicy had quarters. If Natalie gives Dirk a nickel, Dirk gives Qunciy a dime, and Quincy gives Natalie a quater, they will all have the same amount of money. How many coins did each have orignially?
Click here to see answer by josmiceli(9817)

Question 54571: Find the x-intercept and y-intercept of the following line: (x/4) + (y/5) = 1.
Click here to see answer by anjulasahay(30)

Question 54361: Draw a line that crosses both the x and y axes.
a)Find the slope and y intercept of this line
b)Write the equation in slope intercept form
c)Rewrite the equation in standard form
d)Draw a line that is perpendicular and write its equation
e)Draw a line that is perpendicuar to line in part d, write its equation
f)Draw a line tha tis perpendicular to line in part e, write its equation
g)What shape did you make with your graph?
Click here to see answer by funmath(2925)

Question 54631: Translate the following statements into inequalities. Let x represent the number in each case
2 times a number, increased by 28, is less than or equal to 6 times that number.

Click here to see answer by stanbon(57967)

Question 54634: solve for x please
3x - 5(3x - 7) = 2(x + 9) + 45
Click here to see answer by tutorcecilia(2152)

Question 54646: given line1 passing through the points (-4,-1) and (-1,0) and line2 passing through the points (5,8) and (0,4) are the lines parallel, perpendicular, or neigher?
Click here to see answer by tutorcecilia(2152)

Question 54679: how do you find the y-intercept to an equation like this y=3/5x-4

Click here to see answer by stanbon(57967)

Question 54682: Statistics. Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality
representing the score that Sam must get on the last test to get a C grade.

Click here to see answer by checkley71(8403)

Question 54652: What is the equation of the line having slope -4/5 and y intercept 3 in slope-intercept form?
Click here to see answer by rchill(405)

Question 54648: Solve each of the following equations for x, and check your results
2(x -3) - 3(x + 5) = 3(x - 2) – 7 = x = -2
Click here to see answer by funmath(2925)

Question 54823: PLEASE HELP ME WITH THIS PROBLEM:
The figure shows the graph of y=(x-3)(x-5)(x-a). Determine the value of a.
Click here to see answer by funmath(2925)

Question 54836: Can someone help me on this?
I need to graph the solution set of x > -7.
-

Thanks, Lyn
Click here to see answer by funmath(2925)

Question 54918: What is the rule for x 1 2 3 4 5 6
y-1-4-7-10-13-16
Click here to see answer by stanbon(57967)

Question 54918: What is the rule for x 1 2 3 4 5 6
y-1-4-7-10-13-16
Click here to see answer by wgomero(28)

Question 54865: I NEED TO GRAPH f(X)=x^3-7x I got the following points (0,0),(1,-6), (-1,6), (2,-6), (-2,6). I know it has to be "s" shape graph but it doesn't come out right, please help, i don't know what i'm doing wrong
Click here to see answer by rapaljer(4667)

Question 54960: Can someone help me do this equation? I am completely lost. This is my first one and don't know how to do it.
2x + 3y =6
Thanks, Ashley
Click here to see answer by stanbon(57967)

Question 54981: 18. Write the equation of the line passing through (–3, –7) and (–3, –6).
A) x = –3
B) y = –3
C) y = x – 3
D) y = x
no book. thanks!!!!!
Click here to see answer by funmath(2925)

Question 54984: Can someone help me graph this equation?
The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item)
(a) If the fixed cost is $40 and the variable cost is $10, I need to write the cost equation.
(b) Graph the cost equation
Thanks, Ashley
Click here to see answer by Nate(3500)

Question 55005: can u please help me solve and graph..thanks
3x-4y<12
Click here to see answer by stanbon(57967)

Question 55008: The Question reads to rewrite each equation as a function for x
-3x+4y=11
Click here to see answer by stanbon(57967)

Question 55007: the question states to graph the function..Please help
f(x)-2x-5
Click here to see answer by rchill(405)

Question 52888: 10+a/7=12;14
Click here to see answer by rchill(405)

Question 55024: Graph Type: Hyperbola
Explanation: Graph comes close to x=0 and y=-0 (asymptotes) without touching the lines

What happens to y as x gets larger?
What happens to x as y gets larger?
d) Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-intercept form of the equation, provide one additional point on this line, and graph the function.
Equation in Slope-Intercept Form:
Show your work here:
Give one additional point in (x,y) form that would fall on this line:

Click here to see answer by stanbon(57967)

Question 55044: f(x)=x^2-3 How do I solve this problem I have tried several times and I do not think I have the right answer
Click here to see answer by Nate(3500)

Question 55044: f(x)=x^2-3 How do I solve this problem I have tried several times and I do not think I have the right answer
Click here to see answer by Hook(36)

Question 55026: What value of y is associated with the following values of x (a)x=2 (b)x=3 (c)x=-2
Click here to see answer by Hook(36)

Question 55095: Please help factor completly 49x^2-28xy+4y^2
Click here to see answer by anjulasahay(30)

Question 55094: Factor Completely please help xy-3x-2y+6
Click here to see answer by anjulasahay(30)

Question 55091: Please help Graph- f(x)=x^2-3
Click here to see answer by rchill(405)

Question 55091: Please help Graph- f(x)=x^2-3
Click here to see answer by funmath(2925)

Question 55065: Solve the system by graphing, addition and substitution methods. 3x + y = –1, 9x + 3y = –3
Click here to see answer by rchill(405)

Question 55066: Solve the system by graphing, addition and substitution methods. 5x – 4y = –5, x – 2y = –7
Click here to see answer by rchill(405)

Question 55073: Joe has 37 coins (all nickels, dimes, and quarters) worth $5.50. He has 4 more quarters than nickels. How many dimes does Joe have?

Click here to see answer by stanbon(57967)

Question 55130: I am stuck on correct answer for:
The slope of the line through points (4,5) and (6, -2) is:

I believe answer is -3 over 2 but I need to verify my work. What is correct resolve?
Click here to see answer by psbhowmick(529)

Question 55132: I am stuck on correct answer for:
The square root of 50 =

I believe answer is 25 but I need to verify my work. What is correct resolve?
Click here to see answer by psbhowmick(529)

Question 55127: Find an equation of the containing the pair of points (0,7) and (5,2).
Click here to see answer by psbhowmick(529)

Question 55147: Please Solve. –3(x + 1) = 2(x – 8) + 3
–3(x + 1) = 2(x – 8) + 3 [Use the Order of Operations to solve (PEMDAS)]
-3x-3=2x-16+3 [Combine like-terms if possible]
-3x-3=2x-13 [Isolate all of the terms with variables]
-3x-2x=-13+3 [Combine like-terms]
-5x=-10 [Solve for x]
x=-10/-5
x=2

Click here to see answer by tutorcecilia(2152)

Question 55152: 28x – 2(10x – 0.365) = 7x + 0.035
Click here to see answer by checkley71(8403)

Question 55141: A long-distance phone call costs $0.96 for the first minute and $0.72 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $6.
Please,
Thank you :)
Click here to see answer by Hook(36)

Question 55151: Solve and graph the solution set. 3x > or = 7x + 20
Click here to see answer by funmath(2925)

Question 55187: what would -1/4 look like on a graph
Click here to see answer by stanbon(57967)

Question 55028: 2) In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and the maximum number of riders possible.
Graph:
Graph Type

What is the slope of the graph?

bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:

If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:

3) It is approximately 480 miles from Los Angeles, California, to San Francisco, California. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?
Answer:
Show work in this space.

b) How far have you traveled after 4 hours?
Answer:
Show work in this space.
c) How far have you traveled after t hours (i.e., write a linear function that expresses the distance traveled, d, as a function of time, t).
Answer:

d) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 3 hours?
Answer:
Show work in this space.
e) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled 4 hours?
Answer:
Show work in this space.
f) How far will you HAVE LEFT to travel to reach San Francisco after you have traveled t hours (i.e., write a linear function that expresses the distance to be traveled to reach San Francisco, s, as a function of time, t).
Answer:
Click here to see answer by Hook(36)

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