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

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Question 328898: find an equation of the line having the given slope and containing the given point. m=5over6,(9,-6). The equation of the line is y=
Click here to see answer by solver91311(24713)

Question 328976: What is the domain and range for f(x) = e^(x - 4)?
Click here to see answer by stanbon(75887)

Question 329047: multiplication principle
-7/8x=-9/10
Click here to see answer by mananth(16946)

Question 329091: Suppose the area of a square is x^2-10x+25. What is the perimeter of the square?
Thank you
Click here to see answer by Fombitz(32388)

Question 329247: How to graph f(x)=x+1?
Click here to see answer by nyc_function(2741)

Question 329252: How to graph f(x)=3/2x-2
Click here to see answer by Alan3354(69443)

Question 329295: Solve graphically: 3/4x - 2 = -1/4x - 5
Is it possible to solve without graphing calculator?
I solved the equation for x (x = -3) but does not work when I substitute -3 back in for x. I know this is fairly basic but I am unable to complete. Thanks for any help.
Click here to see answer by solver91311(24713)

Question 329337: Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. You are planning to spend no less than $3,000 and no more than $8,000 on your landscaping project.
a. Write an inequality that demonstrates how much money you will are willing to spend on the project.
b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 35 tons of rock to cover the area. If each ton costs $60 and each tree is $99, what is the maximum number of trees you can buy with a budget of $2,400? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.

c.Would four trees be a solution to the inequality in Part b? Justify your answer.

2. The coordinate graph of the backyard shows the location of the trees, plants, patio, and utility lines. If necessary, you may copy and paste the image to another document and enlarge it.
a. What are the coordinates of Tree A, Plant B, Plant C, Patio D, Plant E, and Plant F?
b. The water line is given by the equation

Imagine you want to put a pink flamingo lawn ornament in your backyard. You want to avoid placing it directly over the water line in case you need to excavate the line for repairs in the future.
Could you place it at the point (6,-15)? [Support your answer with algebra work.
b. What is the slope and y-intercept of the line in Part b? How do you know?
c. Imagine you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equation

Complete the table for this equation. [Support your answer with algebra work.]
x y (x,y)
-10
-2
-8
2
18
d. What objects might be in the way as you lay the pipe for the sprinkler?
[Support your answer with algebra work.]
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Question 329419: Good Morning,
How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in an equation(based on y=mx+b). Tahnk you
Click here to see answer by Fombitz(32388)

Question 329476: i was wondering if anyone new how to do this problem i have to multiply one equation to eliminate and this is the equation
2x-y=6
3x+4y=-2
Click here to see answer by Fombitz(32388)

Question 329543: Solve: t plus 14 greater than or equal to 9

{t|t____}
Click here to see answer by stanbon(75887)

Question 329565: The line passes through (-1, 2) and 1/3m
What is the equation for this?
The line parallel to y = 1/2x -2 and passes through (1, 3).
what is the equation for this?
The line perpendicular to y = 3x +2 passing through (-2, 2).
what is the equation for this?
Click here to see answer by Fombitz(32388)

Question 329629: You are building a landscape garden and want to spend no less than $3,000 and no more than $8,000. You need 35 tons of rock, each costs $60 and each tree costs $99. How many trees can you buy out of a budget of $24,000? Show your answer using inequalities.
Also want to map (6,15), what is the y-intercept.
Click here to see answer by stanbon(75887)

Question 329651: linear substitution.
y = 5x - 2
3x + 7y = 5
i did this question and i got x = 1/2 and y = 1/2
is this correct?
Click here to see answer by jim_thompson5910(35256)

Question 329655: linear combination.
-2x + 3y = 15
10x - 11y = 9
i did this question and i got x = 24 and y = 21
is this correct?
Click here to see answer by stanbon(75887)

Question 329672: 2x-y=15
2x+3y=-13
What is the solution of the system?
Click here to see answer by stanbon(75887)

Question 329680: two angles are complementary. The sum of the measure of the first angle and half the second angle is 79.5 degrees? what is the measure of the half angle?
Click here to see answer by nerdybill(7384)

Question 329690: What is the solution set for this problem?
4(r-8)+1>5(r+2)-25
please explain how you got the answer thank you!
Click here to see answer by grace77(4)

Question 329601: How do you solve for y, and state the slope and y-intercept? The equation is: 3x - 4y = -12
Click here to see answer by ankor@dixie-net.com(22740)

Question 329699: What is the solution for this problem?
-4≤2�+4 and 2x+4<6
please explain how you got the answer thank you!
Click here to see answer by edjones(8007)

Question 329957: One canned juice drink is 20% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 15L that is 15% orange juice? How many liters of 20% and how many liters of 5%?
Click here to see answer by checkley77(12844)

Question 329953: The perimeter of a rectangle is 56inches. The length exceeds the width by 24 inches. Find the length and the width.
Click here to see answer by checkley77(12844)

Question 330016: 9x + 5y = -43
-9x + y = 67
need the ordered pair
Click here to see answer by Fombitz(32388)

Question 329962: Graph the inequality on a plane 4x+5y<=20
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Question 330081: x2-4x=-4
x2+-1
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Question 330181: x=4y^2
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Question 330294: graph the equation
xy=-6
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Question 330296: grapth the equation
(x-5)^2 /9 - y^2 /1 =1
Click here to see answer by Alan3354(69443)

Question 330312: write an inequality statement comparing -5/2 and -3
Click here to see answer by jim_thompson5910(35256)

Question 330312: write an inequality statement comparing -5/2 and -3
Click here to see answer by nyc_function(2741)

Question 330209: re: inverse variation (y = k/x)
problem: speed of bus inversely proportional to time (t) that it takes to travel fixed distance at 30 mph in 80 minuntes; how fast does bus need to travel to cover same distance in 20 minutes.
If speed is inversely proportional to time, do I set speed = 1/time?
I am unclear on how to set up equation - thanks for help.
Click here to see answer by scott8148(6628)

Question 330449: Hello, I was hoping you'd please help me out with a math problem.
I have to find an equation in standard form of the line:
a. through (2,-2) and (4,4)
b. perpendicular to y= x + 5 and through (0, -8)
Can you please show me how to solve this problem?
Thank you so much for your help!
Click here to see answer by mananth(16946)

Question 330458: Graph the inequality 9x-2y<-18
Click here to see answer by mananth(16946)

Question 330481: how to plot the points using slope intercept form and it woul become consistent and independent
Click here to see answer by Fombitz(32388)

Question 330526: A plane flew 400 miles eastward with a tail wind and made the trip in 2 hours. It returned with a heads wind and the trip took 3 hours and 20 minutes. Find the speed of the plane and the wind. What is the formula for wind speed?
Click here to see answer by mananth(16946)

Question 330459: Find and graph an equation of a line perpendicular to 2x-5y=20. Find and graph an equation of a line parallel to 2x-5y=20. Graph the three lines on the same coordinate plane
Click here to see answer by Fombitz(32388)

Question 330590: Graph the line
y=-x+1
Click here to see answer by solver91311(24713)

Question 330599: find the slope if it exist
(6,10) (9,-9)
Click here to see answer by solver91311(24713)

Question 330596: m=-6(5,8)
the equation line is y=
Click here to see answer by Fombitz(32388)

Question 330592: (2,-8) 9x-7y=8
Click here to see answer by Fombitz(32388)

Question 330600: In 1920, the record for a certain race was 46.7 seconds in 1940, it was 46.1 sec. Let R(T)= the record in the record in the race and t=the number of yes since 1920
A. find a linear function that fits the data
b. Use the function in (a) to predict the record in 2003
c Find the year when the record will be 43.88 seconds
Click here to see answer by ankor@dixie-net.com(22740)

Question 330693: graphing systems of equations: y = -3/4x + 2, 9x+12y=24
Click here to see answer by solver91311(24713)

Question 330761: I need to know the intercepts of the 2 equations as well as where the lines would intercept.
The equations are x + y = 44
3(y) + x = 44
What I do know is that The 1st question says sales rep informs u that there are 2 floor plans available for a total of 44 houses. Use x for floor plan 1 and y for floor plan 2. The equation that illustrates this situation is?
I came up with x + y = 44
The next part says that the rep then states there are 3 times as many homes available with floor plan 2. The equation that illustrates this situation is? (use the same variables)
I came up with.... 3y + x = 44
Then it asks what the intercepts of equation 1 and 2 are as well as where the lines would intersect if solved by graphing.
Can u help me with this?
Thank you in advance!
Click here to see answer by stanbon(75887)

Question 330803: Consider the two curves given by
y= 3x-2 and y= -x^2+2x+1
how do I decide if the two intersect and if they do to find there points of intersection.
please show working
Click here to see answer by mananth(16946)

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