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

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Question 1155688: Through (5,-3) slope -1
Click here to see answer by Boreal(15235)

Question 1155688: Through (5,-3) slope -1
Click here to see answer by Alan3354(69443)

Question 1155691: 1.Determine which,if any,of the given ordered pairs is a solution of 5x+2y=13.
a) (-1,9) b) (3,-1) c) (5,-6)
2.For 4x-3y=12. a)find the x-intercept, b) find the y-intercept c) find one other point on the line, d) graph the line
3.For 5x+2y=-10. a)find the x-intercept, b)find the y-intercept, c) find one other point on the line, graph the line.
4.Graph the line containing (-7,-4) with slope 3/5
5.Graph the line containing (-2,6) with slope -4/3
6 Graph the equation y=-3
7 Graph the equation x= -6
Click here to see answer by josgarithmetic(39617)

Question 1155700: Given the function g(x) = 4
------
3x-5
answer the following and simplify completely.
a. g(x − 3)
b. State the domain of g(x) in interval notation.
Click here to see answer by josgarithmetic(39617)

Question 1155707: Given the function g(x) = g(x)=4/(3x-5) answer the following and simplify completely.
a. g(x − 3)
b. State the domain of g(x) in interval notation

Click here to see answer by MathLover1(20849)

Question 1155721: Solve the system of linear equations by graphing and state the solution. Graph and label at least three points on each line and the intersection point, if it exists. If not state so and why.
4𝑥 − 𝑦 = 7
2𝑥 − 3𝑦 = −9
Click here to see answer by mananth(16946)

Question 1155720: Given the function f(x) = −2x^2 + 5x − 1, and g(x) = 5x + 3 evaluate the following:
a. f(−2)
b.f(3) + 7

c. g(x − 1)
Click here to see answer by Edwin McCravy(20055)

Question 1155733: Find the equation of all lines passing through the point (6, -1) for which the
product of their x- and y-intercepts is 3

Click here to see answer by MathLover1(20849)

Question 1155733: Find the equation of all lines passing through the point (6, -1) for which the
product of their x- and y-intercepts is 3

Click here to see answer by greenestamps(13200)

Question 1155740: Find the x-value(s) that satisfy f(x)=6
State the domain of f(x) in interval notation
Click here to see answer by greenestamps(13200)

Question 1155756: Every day, an automobile factory assembles 22 more cars than trucks.
Let t represent the number of trucks assembled and c represent the number of cars assembled.
Find the value of c when t=9
Click here to see answer by Alan3354(69443)

Question 1155784: a/(x-a) + b/(x- b) = (a+b)/(x-a-b)
Click here to see answer by greenestamps(13200)

Question 1155891: Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 5 clients who did Plan A and 3 who did Plan B. On Tuesday there were 2 clients who did Plan A and 12 who did Plan B. Charmaine trained her Monday clients for a total of 9 hours and her Tuesday clients for a total of 9 hours. How long does each of the workout plans last?
Click here to see answer by josmiceli(19441)

Question 1155613: The median listing price of a home in Hollywood in 2010 was $348 thousand. In 2018 the
median listing price is $625 thousand. Using the information given answer the following questions since
2010.
a. Find the linear equation of the median listing price of a home in Hollywood since 2010. State the
equation in slope-intercept form and use exact values.
b. Using the linear equation found in (a) if the trend continues what will the median listing price of a
home in Hollywood be in 2030? State your solution in a complete sentence and round your solution to
the first decimal place.
c. In what year will the median listing price of a home in Hollywood be $902 thousand? State your
solution in a complete sentence and round to the nearest year.
Click here to see answer by Boreal(15235)

Question 1155967: Find the vertex for f(x) = −3𝑥^2 + 6𝑥 − 1 via completing the square.
Put your answer in the parabolic form of f(x) = 𝑎(𝑥 − ℎ)^2 + 𝑘.
What is the axis of symmetry?
Click here to see answer by MathLover1(20849)

Question 1156119: Please help me solve this!
Kade is starting up a small business as a tradesman. He will need to buy a truck and some
materials to get his business going. The truck costs $13 000. He gets 3 jobs immediately
and hires 2 workers to help him. The materials for all 3 jobs cost $3000. The jobs will each
take a week not including Saturday and Sunday and he pays his workers $125 per day per
worker. How much will he have to charge for each job in order to break even at the end of
the third job?
Click here to see answer by ikleyn(52781)

Question 1156211: A cross-country ski area classifies its courses based on the range of slopes. If the slopes are less than 0.09, the course is classified aseasy. For slopes between 0.09 and 0.18, the course is intermediate.For slopes greater than 0.18, the course is difficult. For a ski hill10 m tall, what range of horizontal runs is appropriate for each classification
Click here to see answer by stanbon(75887)

Question 1156118: Please help me solve this!
Mobile phone companies sometimes package their products to make them more attractive
to customers. If you average 365 minutes per month in talk time, which of these packages is
the better deal?
The Upstart Package includes a free phone and 300 minutes. It will cost 12 cents per minute
for each minute over the plan time. This package has a base rate of $41.95.
The Newstart Package has a phone that costs $10 and has 350 minutes. It will cost 8 cents
per minute for each minute over the plan time. This package has a base rate of $37.95 not including the phone.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1156320: Solve the system of equations using the elimination/addition method and state the appropriate solution.

x+(1/3y)=(5/12)

8x + 3y = 4
Click here to see answer by MathLover1(20849)

Question 1156325: How do you put 2x - y - 4 =0 in linear form

Click here to see answer by greenestamps(13200)

Question 1156425: what is the slope of y=-4x -1
Click here to see answer by ikleyn(52781)

Question 1156512: Which test point is the solution set for the linear inequality [(x, y)|5x-7y<0, x € I, y € I
Click here to see answer by ikleyn(52781)

Question 1156488: The table below shows the world record in the men’s 100-meter dash from 1912 to 2009. Use this to answer Questions 5 - 8. (Note: A change to electronic timing in the 1970s might explain the 30-year gap in records from 1968 to 1999.)
Men's 100=meter dash2
Year World Record Time
(nearest tenth)
1912 10.6
1921 10.4
1930 10.3
1936 10.2
1956 10.1
1960 10
1968 9.9
1999 9.8
2008 9.7
2009 9.6

Start of Questions
Create a scatter plot on paper - it's best to do this on graph paper - using the data relating year and world record time on the 100 meter dash. Let the horizontal axis represent years, t, where t is the number of years after 1900. The vertical axis represents R, the time in seconds of the record 100 meter dash. Use a straight edge to draw the line you think is the best linear model for this data. Write the equation of that line here.
R = =-0.028t+20.8=18
Click here to see answer by ikleyn(52781)

Question 1156731: A movie theater sells two type of tickets. General admission and senior citizen. One evening the theatre sold twice as many senior tickets than general admission tickets. If a total of 525 tickets were sold, how many senior tickets were sold?
Click here to see answer by josmiceli(19441)

Question 1156732: 4x+2(3-x) >_ 6x+7
Click here to see answer by Boreal(15235)

Question 1156753:
Click here to see answer by ikleyn(52781)

Question 1156849: How do I find the slope, y- intercept and what do they represent
Click here to see answer by Alan3354(69443)

Question 1156849: How do I find the slope, y- intercept and what do they represent
Click here to see answer by ikleyn(52781)

Question 1156851: 1. which equation shows a slope of -5 and a Y-intercept of (0.1)
2. which graph is for the equation Y= - 1/2 x +2
3. Which graph is for the following equation Y = -2/3x + 2

Click here to see answer by josgarithmetic(39617)

Question 1156874: the cook time of a chicken depends on the weight of the chicken as given by the following formula: C=15+50w where C is the cook time (in minutes) and w is the weight in kilograms.
A) Transpose the formula, Solving for w

B) if a chicken takes 1hr and 35mins to cook, what is the weight of the chicken?
Click here to see answer by Theo(13342)

Question 1156974:
Click here to see answer by josgarithmetic(39617)

Question 1157002: 1. Solve the system by substitution.
A) 3x+4y=11. B) 3x+2y=6
-8x-y=19. 2x+5y=-7

2. Solve the system using the addition method
A)11x-5y=10. B)10x-4y=7
13x-7y=2. B)4x-y=-5
I need to show the work and I don't understand how to do them.
Click here to see answer by josgarithmetic(39617)

Question 1157046: Solve the system using the addition method.
1. 11x-5y=10
13x-7y=2

2. 10x-4y=7
4x-y=-5
Click here to see answer by josgarithmetic(39617)

Question 1157046: Solve the system using the addition method.
1. 11x-5y=10
13x-7y=2

2. 10x-4y=7
4x-y=-5
Click here to see answer by MathTherapy(10552)

Question 1157050: Can you show me how you did those problems to solve the system using addition method. I have to show my work
Click here to see answer by ikleyn(52781)

Question 1157052: Solve the system using the addition method.
1.11x-5y=10
13x-7y=2
Click here to see answer by Alan3354(69443)

Question 1157052: Solve the system using the addition method.
1.11x-5y=10
13x-7y=2
Click here to see answer by ikleyn(52781)

Question 1157052: Solve the system using the addition method.
1.11x-5y=10
13x-7y=2
Click here to see answer by MathTherapy(10552)

Question 1157204: Graph the function f(x)=sqrtx-2
Plot four points on the graph of the function: the leftmost point and three additional points
Click here to see answer by MathLover1(20849)

Question 1157208: A study is done on the population of a certain fish species in a lake. Suppose that the population size P(t) after t years is given by the following exponential function.
P(t)=400(1.29)^t
Find the intial population size.
Does the function represent growth or decay?
By what percent does the population size change each year?

Click here to see answer by josgarithmetic(39617)

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, 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