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

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Question 1175425: slope of 3 and passes through point (0, -2)
Click here to see answer by ikleyn(52781)

Question 1175425: slope of 3 and passes through point (0, -2)
Click here to see answer by ewatrrr(24785)

Question 1175425: slope of 3 and passes through point (0, -2)
Click here to see answer by MathTherapy(10552)

Question 1175434: slope of 3 and passes through point (0, -2)
Click here to see answer by ewatrrr(24785)

Question 1175434: slope of 3 and passes through point (0, -2)
Click here to see answer by ikleyn(52781)

Question 1175288: Given the system of equations
(2x - 3y - 9z = -24
|x + 3z = 6
|-3x + y - 4z = -6
(
(a) determine whether the system is inconsistent or dependent;
Your answer is (input inconsistent or dependent)
(b) if your answer is dependent in (a), find the complete solution. Write
x and y as functions of z.
x =

y =

Click here to see answer by Edwin McCravy(20055)

Question 1175370: A movie theater has a seating capacity of 361. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2614, How many children, students, and adults attended?
Click here to see answer by MathTherapy(10552)

Question 1175450: A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?

Click here to see answer by josgarithmetic(39617)

Question 1175476: a tricvcle charges P10.00 for the first kilometer, plus an additional P3.00 per kilometer. If a ride is 5 kilometers long, how much is the cost? using formula of slope f(x)=mx+b

Click here to see answer by ikleyn(52781)

Question 1175560: Rafael the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 2 who did Plan B. On Tuesday there were 5 clients who did Plan A and 6 who did Plan B. Rafael trained his Monday clients for a total of 6 hours and his Tuesday clients for a total of 12 hours. How long does each of the workout plans last?
Click here to see answer by Boreal(15235)

Question 1175591: The line I goes through the points (1,2) and (5,10). What could be the equation of a line perpendicular to I?
Thanks!
Click here to see answer by Edwin McCravy(20055)

Question 1175695: Maximize the objective function 4x+7y subject to these constraints:
x+2y ≤ 1000
8x+3y≥ 2400
x,y ≥ 0
Click here to see answer by ikleyn(52781)

Question 1175752: The equation that represents the transmission boundaries of a cercullar phone tower is x²+y²-10x+2y-199=0. What is the greatest distance, in kilometers, can the signal of the tower be transmitted?
Click here to see answer by ikleyn(52781)

Question 1175755: A tracking device that is installed in a mobile phone indicates that its user is located at a point whose coordinates are (18,14). In the tracking device, each unit on the grid is equivalent to 7km. If the phone user came from a place whose coordinates are (2,6), how far has he travelled?
Click here to see answer by ikleyn(52781)

Question 1175754: In 2003, the owl population in a park was measured to be 340. By 2007, the population was measured again to be 285. The population changes linearly. Let the input be years since 1990.
a) Find the formula for the owl population, P. Let the input be years since 2003.
b) What does your model predict the owl population to be in 2012?
Click here to see answer by josgarithmetic(39617)

Question 1175866: Steven wants to redo the floors in his house. He looks at one flooring company that charges $250 for materials/labor fees, plus $8 per square foot. A second company charges a fee of $320 plus $6 per square foot. For how many square feet do both companies charge the same amount?
Click here to see answer by CubeyThePenguin(3113)

Question 1168297: In a recent fundraiser, Daniela sold 5 less than twice as many coupon books as Andrew. Together, they sold a total of 28 coupon books. How many did Daniela sell?
Click here to see answer by CubeyThePenguin(3113)

Question 1175902: Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form.
P(0, 0), x = −9y − 17
Click here to see answer by ikleyn(52781)

Question 1175903: Use slope-intercept form to write an equation of the line with the given properties. m= square root 7;b= square root 7
Click here to see answer by ikleyn(52781)

Question 1175906: Please help me solve 3x + y=3
xy =-6

Click here to see answer by josgarithmetic(39617)

Question 1175906: Please help me solve 3x + y=3
xy =-6

Click here to see answer by MathTherapy(10552)

Question 1175906: Please help me solve 3x + y=3
xy =-6

Click here to see answer by ikleyn(52781)

Question 1175901: Write the equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form.
P(3, −4), x = − 7/8y+3

Click here to see answer by josgarithmetic(39617)

Question 1174384: Last year, Pinwheel Industries introduced a new toy. It cost $1500 to develop the toy and $20 to manufacture each toy. Fill in the blanks below as appropriate.
A.) Give a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys: C =

B.) The total cost to produce n = 1050 toys is $

C.) With $26500, a total of ------- toys can be produced.
Click here to see answer by CubeyThePenguin(3113)

Question 1174310: you are offered two very similar jobs selling gym club memberships mighty gym pay 150 per week and 7.50 per memberships sold define the variables. Identify which one is the independent variable and which one is the depended variable
Click here to see answer by CubeyThePenguin(3113)

Question 1165817: Please help me in this question: A soap manufacturer decides to spend 600,000 rupees on radio, magazine and TV advertising.
If he spends as much on TV advertising as on magazines and radio together, and the amount
spent on magazines and TV combined equal five times that spent on radio, what is the amount
to be spent on each type of advertising? Solve by Gauss-Elimination method.
Click here to see answer by CubeyThePenguin(3113)

Question 1128084: Graph the solution: 5x − 2 ≤ 4 − x
Click here to see answer by CubeyThePenguin(3113)

Question 1134127: (6 pts) A particular state computed income tax, T (in dollars) on a person’s income, x (in dollars), by the following formula:
T (x)= {0.018x if 0 ≤ x ≤ 5,000
90 + 0.025 (x-5,000) if 5,000 < x ≤ 10,000
215 + 0.050 (x-10,000) if x > 10,000
What is the tax on an income of $7,300? Show work.

(b) What is the tax on an income of $73,000? Show work.

Click here to see answer by CubeyThePenguin(3113)

Question 1137785: A multinational company placed orders for printing papers and writing pads. In the first order 5 carton of printing papers and 10 writing pads were ordered and total cost was Rs.3000 and in the second order 10 carton of printing papers and 5 writing pads were ordered and total cost was Rs. 5250. What was the cost of one carton of printing paper
and one writing pad?
Click here to see answer by CubeyThePenguin(3113)

Question 1147816: Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation of 2 units left on the graph of f(x)=x^2-3x+1. Write a rule for g.
Click here to see answer by CubeyThePenguin(3113)

Question 1176069: Which is an equation of the line parallel to negative 6x+2Y=-2 that passes through the point 2, -1
Click here to see answer by MathLover1(20849)

Question 1176077: The vertices of a square are (-9,4), (-2,8), (2,1), and (-5,-3) what is the area of the square
Click here to see answer by josgarithmetic(39617)

Question 1176078: A parallelogram has vertices (5,0), (3,-3), (-4,-3) and (-2,0). The diagonals of the parallelogram intersect at their mid points. What are the coordinates of the intersection of the diagonals
Click here to see answer by ikleyn(52781)

Question 1176089: Been stuck on this for hours and can't seem to properly put it in my calculator correctly.

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x = 11.8, 8.6, 6.6, 3.6, 2.5, 2.2, 2.1, 0.6
y = 14.4, 11.5, 9.7, 7.3, 6.1, 5.6, 6.1, 4.8

x = thousands of automatic weapons
y = murders per 100,000 residents

This data can be modeled by the equation y=0.87x+4.06. Use the equation with the values rounded to two decimal places to make your predictions.

A) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons?

B) How many murders per 100,000 residents can be expected in a state with 9.2 thousand automatic weapons?
Click here to see answer by Theo(13342)

Question 1176120: what is the slope intercept form of m= -4; (2, -3) ?
Click here to see answer by math_helper(2461)

Question 1176116: Please help me solve this equation. Josh is looking at a smartphone plan. The plan cost is $ 200 dollars upfront plus $55 monthly plus 15% on both upfront and monthly cost. Create a linear equation that relates the total cost “T” in terms of months “m”. How much will Josh pay over his 2 year term.

Click here to see answer by ikleyn(52781)

Question 1174194: Situation: Lovely paid Php 600 for 10 kilos of rice and 3 kilos of fish.
a. What mathematical inequality represents the total amount Lovely paid? Define the variables used.
b. Suppose a kilo of rice costs Php 35. What could be the greatest cost of a kilo of fish to the nearest pesos?
Click here to see answer by CubeyThePenguin(3113)

Question 1156084: The cost of renting a banquet hall is $600, plus $25 per guest. Let n represent the number of guests and T represents the cost in dollars.

a) Determine the slope of the line. What are the units for the slope?
b) Write an equation for the total cost,T, in dollars.
c) Graph the relation
d) What is the T-intercept? What does this represent?
e) Is this relation an example of direct or partial variation
Click here to see answer by CubeyThePenguin(3113)

Question 1125398: If the exchange rate between the American dollar and the Japanese yen is such that $4.00 = 442 yen how many yen could be exchanged for $ 70.00?
Click here to see answer by CubeyThePenguin(3113)

Question 1135411: A toy ball in the shape (Sphere) expands and contracts. When it is completely closed it has a diameter of (4.5. inches). Find the (Volume) of the (Sphere) when it is completely closed. (use 3.14 for pi)
Hint: the Volume of a sphere of radius r is 4/3 mr3)
The (Volume) of the (sphere) is approximately ?
Click here to see answer by CubeyThePenguin(3113)

Question 1147853: Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of f(x)=x^2−6x+1. Write an equation.
Click here to see answer by CubeyThePenguin(3113)

Question 1176151: Given the graph y = f(x), in which order do we apply the transformations when graphing
y=af(b(x−h))+k
. Why is this the correct order?
Click here to see answer by greenestamps(13200)

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