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

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Question 461801: I'm trying to find the solution set for the following problem:
2(x-2)< 4 or 4 less than or equal to 2(X-2)

I simplified both sides first;
2x-4 < 4 or 4 less than or equal to 2x-4
2x<8 8 less than or equal to 2x
x< 4 x greater or equal to 4
I'm confused at this point and guessed the solution set of:
(-infinite, 4) U (4, infinite)
I appreciate any feedback to get me on the right track. Thank you.

Click here to see answer by Gogonati(855) About Me 

Question 461810: Find the x- and y- intercepts and then graph the linear equation
1.y=x+3
2.3x-=3
3.3x-4y=-12

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

Question 461815: write an equation of line containing the specified point and perpendicular to the indicated line. (6,0), 5x+4y=1
Click here to see answer by solver91311(24713) About Me 

Question 461776: Hello,
I'm trying to solve the following word problem:
A plane travels 560 miles in 1.75 hours flying with the wind. The
return trip against the same wind takes two hours. Find the speed of
the plane and the wind.
I tried setting up the problem like this
d=r*t
560=2(r-c) 560=1.75(r+c)

560=2(r-c)/2 560=1.75(r+c)/1.75
280=r-c 320=r+c

320=r+c
280=r-c
-----------
600=2r
r=300
This is where I got stuck. I'm unsure how to solve for c. Where did I go
wrong? Thank you for your help.


Click here to see answer by asuar010(338) About Me 

Question 461816: Solve each inequality. Write the solution set in interval notation and graph it.
1. -2.5x<6.5
2. 4(x+3)-5x<12
3. 2/3t-1/6t<=-2

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

Question 461948: Please help me to solve this problem. The daily profit for the garden department of a store from the sale of trees is given by P(x) = -x^2 + 18x + 144 , where x is the number of trees sold. find the function's vertex and intercepts, and graph of the function.
Click here to see answer by lwsshak3(11628) About Me 

Question 462067: I having a lot of trouble figuring out how to do this problem,
+ solve the system of equations by using the substitution method.
x + 2y = -12
x= -5y

Click here to see answer by algebrahouse.com(1659) About Me 

Question 462121: Please help me solve this
3x-8y=48
find the x snd y intercept

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

Question 462127: For the following equation, tell if the line passes through the box defined by the points [(1, 1), (2, 1), (2, 2), and (1, 2)].
x= 4
y= -|3x|
Please and thank you!


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

Question 462268: f(x)=-3x
Click here to see answer by MathLover1(20849) About Me 

Question 462362: Hi. I need your help on problem solving. My math problem is as follows:
Four times the sum of 7 and some number is -8. What is the number?
I tried to solve this problem myself, but was told it was incorrect. Please see below for an example of how I tried to solve this problem.
4x7+(-36)= -8
I tried to pick the correct catagory for this problem, sorry if it is incorrect.
Your assistance is greatly appreciated. :-)

Click here to see answer by amoresroy(361) About Me 

Question 462392: Can someone help me solve then graph the inequality on a plane?
4x + 5y ≤ 20

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

Question 462391: Graph the equation using the slope and the y- intercept. What is the slope and y-intercept?
y = 6/5x + 6

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

Question 462612: The equation of a line is y= -1/2x -3
Complete the table for this equation.
x y (x,y)
? -1 (?,?)
-2 ? (?,?)
? -4 (?,?)
6 ? (?,?)
8 ? (?,?)

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

Question 462805: x + 3y = 7
4x-5y = 96 using substitution

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

Question 462832: Solve the system of equations
x+3y=8(1)
x=7-3y(2)

Click here to see answer by algebrahouse.com(1659) About Me 

Question 462875: the length of a rectangle is fixed at 14 cm. what widths will make the perimeter greater than 70 cm.
Click here to see answer by MathLover1(20849) About Me 
Question 462875: the length of a rectangle is fixed at 14 cm. what widths will make the perimeter greater than 70 cm.
Click here to see answer by rfer(16322) About Me 

Question 462915: the length of a rectangle is fixed at 14 cm. what widths will make the perimeter greater than 70 cm.
Click here to see answer by Gogonati(855) About Me 

Question 462938: Solve the system of equations by graphing
x-2y=10
x+2y=-2

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

Question 462949: what us the slope of 3y=18
Click here to see answer by Edwin McCravy(20054) About Me 

Question 463260: How do I graph y=10/9x+3 using the slope and y intercept?

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

Question 463314: 1.y-1/2x=3 Find the y- and x-intercept for the equation. then graph the equation.
2.x=7-y

3.12y-3x=-9

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

Question 463362: Graph 2x + 3y=6 using the slope and y-intercept
Click here to see answer by algebrahouse.com(1659) About Me 

Question 463442: y=-3x+4 givedomain range and graph
Click here to see answer by MathLover1(20849) About Me 

Question 463499: (3x-4y)^2
Click here to see answer by Alan3354(69443) About Me 

Question 463513: -6x +2>5
Click here to see answer by rfer(16322) About Me 

Question 463577: When looking at a graph of a quadratic function, f(x) = ax2 + bx + c

1) How can one tell if the graph is symmetric?

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

Question 463598: How can one find the solutions of the quadratic equation by using the quadratic formula method?
State the formula

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

Question 463619: How do I find the function of f to find f(2), f(3), f(4)? Do not have a graph
Click here to see answer by aliateach(10) About Me 

Question 463644: Find the slope of each of the three line segments in the graph below. Please show all of your work. Between which two points is the slope the largest?

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

Question 463813: Hi! I was wondering if someone would be able to help me with this problem? I have been having a hard time grasping the graphs in this chapter.
Thank you!!!! :)
Write the slope-intercept equation for the line containing the given pair of points.


(6,8) and (3,5)

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

Question 463807: Hi, I am having a little bit of difficuly and hoping one of you smart math tutors would be able to help me? :) Thank you so very much!!!!!
Find the slope and the y-intercept of each line whose equation is given.
y − 3 = 5

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

Question 463920: Find the y-intercept of the line whose equation is y=(5/3)x+(8/5)

Click here to see answer by nerdybill(7384) About Me 

Question 463990: If any point x lies between -7 and -1.Then what is the range of x in terms of inequality?
Click here to see answer by algebrahouse.com(1659) About Me 

Question 463998: If y=4 when x=2,find y when x=16. Identify the Constant variation. Same problem find the solution. Please show me how to work out graphing and these problems.
Click here to see answer by Alan3354(69443) About Me 

Question 464265: .Solve the system of equations by graphing. Then classify the system
x +y=11
x - y=1
What is the solution of the system of equations? ____________________
(Type an ordered pair . Type N if there is no solution. Type R if the solution is all real number.)
Is the system consistent or inconsistent?
A.)___________inconsistent
B.)____________consistent
Are the equation dependent or independent
Dependent_______________
independent_______
Show graphing chart

Click here to see answer by reviewermath(1029) About Me 

Question 464285: I am a little confused on how to get the order of pairs for this y= -1/4x-6. if i could get some help and maybe showed an easier way to complete this problem that would be great. Thanks
Click here to see answer by oberobic(2304) About Me 

Question 464341: 6x-7y=-42 Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work.
Click here to see answer by jorel1380(3719) About Me 

Question 464356: Write the slope-intercept equation for the line that passes through (10, -4) and has slope -3/10. Please show all of your work.
Click here to see answer by rfer(16322) About Me 

Question 464392: Write the slope-intercept equation for the line that passes through (-5, -8) and is perpendicular to 10x – 6y = -11 Please show all of your work. .

Click here to see answer by nerdybill(7384) About Me 

Question 464397: Hi So this is my question, the work is already done, but my Professor wants to know this:
There is a difference between a line with no slope and a line with a slope of 0. What is that difference?

Any help is appreciated!!! thank you :)

Find the slope and the y-intercept of each line whose equation is given.
3.6 #30
y − 3 = 5
y=8
y int (0,8)
no slope, horizontal line


I'm not sure if I am right with this:
No slop the line y=8 has a slope of 0




Click here to see answer by Edwin McCravy(20054) About Me 

Question 464684: I am lost and confused. Not sure what I am supposed to do.
1)find the x and y intercepts for the graph of the
equation given:
x+7y=0
2) find an equation of the line
containing the given pair of point
(-2,-1) and (-5,-8)
3) find the product of (5z-u)(3z+5u)
4)12 1/2% of what amount is $36.80
5) convert the number to scientific notation
0.0000000008

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

Question 464897: what is the calculation for 1=138,600/6? help
Click here to see answer by richard1234(7193) 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, 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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, 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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