Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 89539: Solve each of the following systems by substitution.
5x - 2y= -5
y - 5x = 3

8x - 4y = 16
y = 2x - 4


4x - 12y = 5
-x + 3y= -1

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Question 89477: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 90t + 3.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth, and explain which solution is the correct one.

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Question 89537: The length of a rectangle is 2 in. more than twice its width. If the
perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

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Question 89536: 11x+6y=7
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Question 89538: A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
to produce, and the AM/FM radios take 20 h. The number of production hours is
limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios

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Question 89545: Solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.

10x + 2y = 7
y= -5x + 3

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Question 89680: Point A (4,1)is in the standard (x,y) coordinate plane. What must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB?
A.(-6,1) B.(4-,-1) C.(-4,3) D.(-2,1) E.(8,1)
Note:Please explain step by step for each problem.

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Question 89683: Question:

Find the slope of the line passing through each pair of points or state that the slope is undefined.
Then indicate whether the line through the point rises, falls, is horizontal, or is vertical.
(6,-4)and(4,-2)
I will need this by this evening if possible. I need to submit a similar one as this by tomorrow. Thank you so much.

Teha

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Question 89703: Please, help me solve this equation.

Question 2
Write an equation in slope-intercept form of the line satisfying the given conditions.
The line is perpendicular to the line whose equation is 4x- y = 6 and has the same y-intercept as this line. (Please graph).

I appreciate you time. Thanks.
Teha

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Question 89679: What is the slope of the line with the equation 2x+3y+6=0?
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Question 89734: Solve the following systems by substitution. Example 2 (p 712) and Example 4 (p 713) are the key models to go by for solving these exercises….
16) 5x – 2y = -5
y - 5x = 3

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Question 89733: 56) Number problems. Jill has $3.50 in nickels and dimes. If she has 50 coins, how many of each type of coin does she have?

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Question 89728: In Problem 26, your best bet is to sketch a graph on paper with all the known information – you know the coordinates of the solution, and should be able to easily determine the y-intercept of the second equation - important since this would give you two points on the same line, from which you should then be able to find m. In the first equation, you’ll have to do some math to find the value of its slope – but watch out for the value of b, because here (HINT), it may not be the same as the value of the y-intercept. Also, we’re only looking for the values of m and b – no graph needs to be submitted for this problem!
26) Find values for m and b in the following system so that the solution to the system is (-3, 4).
5x + 7y = b
mx + y = 22

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Question 89740: they involve graphing, inequalities and systems of equations! Problem 10 is a lot like Check Yourself 3 (p 726)….
10) 3x – y ≤ 6
x ≥ 1
y ≤ 3

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Question 89738: 56) Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?



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Question 89900: Good evening Tutor,
I am clueless as to solving this problem. I think I have gotten part of it but am not sure about graphing the slope.
Question is:
Write the equation of the line with given slope and y-interect. Then graph each line using the slope and y-intercept.
16.) Slope: -2; y-intercept: (0,4)
I solved and got y= -2x + 4 is this part correct? Next I do not know for sure how you graph this could you please explain it to me?
Thank you very much.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 89900: Good evening Tutor,
I am clueless as to solving this problem. I think I have gotten part of it but am not sure about graphing the slope.
Question is:
Write the equation of the line with given slope and y-interect. Then graph each line using the slope and y-intercept.
16.) Slope: -2; y-intercept: (0,4)
I solved and got y= -2x + 4 is this part correct? Next I do not know for sure how you graph this could you please explain it to me?
Thank you very much.

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

Question 89929: This is from a worksheet:
Determine whether the pair of lines is parallel, perpendicular, or neither.
3x - 4y = -6 and 8x + 6y = 2

Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 90131: x=-3 - figure out gradient, y intercept and the line graph?
Click here to see answer by tutorcecilia(2152) About Me 

Question 90126: Solve the system of linear equations using addition/subtraction method:
2x+y=3
x-2y=-1

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Question 90128: Graph the solution to: 2x+3y<6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 90123: Find the slope of the line through the points (-5,7) and (-4, -2)
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Question 90122: slope 5;y intercept ;(0.4)
slope 3/4;y intercept (0,8)

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Question 90115: Could someone please help me with this I am having trouble with slopes.
The question is write the equation on the line with given slopes and y intercepts.Then graph each line using the slope and y intercepts.
1)SLOPE 5:Y INTERCEPT:(0.2)
2)SLOPE 3/4:Y INTERCEPT (0,8)

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Question 90411: Tutor could you please explain how to do this problem for me?
Write the equation of the line L satisfying the given geometric condistions.
36. L has y-intercept (0,-3) and is parallel to the line with equation y=2/3 x+1.
I have come up with y=2/3 x + -3 but I do not think this is correct. Any help you can provide with be great. Thanks.

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

Question 90439: Please check to see if I got this correct:
Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
20. (-1,3) and (4,-2)
I got y= -5/3 x -2
Am I close or way off?

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Question 90451: i need help with the following please:
Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1.
thank you i just do not get these

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Question 90453: i need help with the following please:
Determine which two equations represent perpendicular lines.
(a) y = 5/8 x – 3
(b) y = 3x – 5/8
(c) y = -1/3 x + 5/8
(d) y = 1/3 x – 5/8



Click here to see answer by malakumar_kos@yahoo.com(315) About Me 

Question 90490: Tutor...an explanation and a bit of help would be appreciated.
Could you tell me how to graph y=2x and y=x+1? I am not sure that I have done these two problems correctly and would like a little help. Thank you.

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Question 90532: Please answer ..what is the slope of the following line?
2x-3y=18
Thank you.

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Question 90515: Are the following lines parellel, perpendicular, or neither?
L1 through (-4, -7) and (1, 3)
L2 through (2, 6) and (4, 10)

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

Question 90537: Tutor,
I just want to make sure that I have solved this question correctly.
Write the equation of the line L satisfying the given geometric conditions.
40. L has y-intercept (0,2) and is perpendicular to the line with equation
2x - 3y = 6.
I got y = -1/2x - 4 is this correct?
Thanks in advance for your assistance.

Click here to see answer by kev82(151) About Me 
Question 90537: Tutor,
I just want to make sure that I have solved this question correctly.
Write the equation of the line L satisfying the given geometric conditions.
40. L has y-intercept (0,2) and is perpendicular to the line with equation
2x - 3y = 6.
I got y = -1/2x - 4 is this correct?
Thanks in advance for your assistance.

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

Question 90517: Solve the system by substitution.
5x - 2y = 10
y = 3x - 5

Click here to see answer by checkley75(3666) About Me 
Question 90517: Solve the system by substitution.
5x - 2y = 10
y = 3x - 5

Click here to see answer by mommyengelman1(2) About Me 

Question 90514: Subtract p - 5 from 3p - 6.
Click here to see answer by checkley75(3666) About Me 

Question 90512: Find two consecutive intergers such that the sum of 2 times the first interger and 7 times second interger is 88.
Click here to see answer by checkley75(3666) About Me 

Question 90510: complete the ordered pairs for the equation 2x+t=10.
(5, ), ( , 10), ( ,-2), (0, )

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Question 90508: Write the equation of the line with slope -5 and y-intercept (0,5).
Click here to see answer by checkley75(3666) About Me 

Question 90505: Graph 3x + 2y = 6
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Question 90506: Which of the ordered pairs are solutions for the equation x - y = 4?
(3,1), (0, -4), (-4, 0), (-3, -7)

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Question 90450: i need help with the following please:
Write the equation of the line with x-intercept (–1, 0) and undefined slope.
i am lost with it thank you

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Question 90452: i need help with the following:
A line passing through (–8, 2) and (–1, y) is perpendicular to a line with slope . Find the value of y.
thank you

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Question 90579: Please help me with this equation.
Graph the following,
The line that has a slope of -2 and passes through the point(-3,5)
Thank You,

Click here to see answer by Earlsdon(6294) About Me 
Question 90579: Please help me with this equation.
Graph the following,
The line that has a slope of -2 and passes through the point(-3,5)
Thank You,

Click here to see answer by bucky(2189) 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, 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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, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045