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

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Question 203998: Find the equations of the following lines. Write the equation in the form Ax + By = C
With slope 31, through (− 2, 4)
Through (− 3, 5) and (4, 2)
With slope 6 and y-intercept − 3.

Click here to see answer by jojo14344(1512) About Me 

Question 204000: A certain type of notebook earned a stationary company $12,000 in profit the first year and $22,000 the third year. Assume the relationship between years on the market and profit is linear. Use ordered pairs of t, years on the market, and p, profit to write an equation of the relationship. Use the equation to predict the profit the fifth year.
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Question 203996: Assume the following describes a linear relationship. Write an equation in slope-intercept form. A faucet is used to add water to a large bottle that already contains some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 10 ounces of water. After it has been filling for 20 seconds, the gauge indicates the bottle contains 24 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.
Click here to see answer by scott8148(6628) About Me 

Question 204017: In 1990 the production staff for GoFast, Inc was 2000 and the production rate was 14,000 units per month
In 1995 the staff was 2200 and the production rate was 15,000 units per month
You will be using point intercept methods to determine a linear equation for a linear approximation
Then forecast the production rate Y' , for 1997 ( X= year 8)

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Question 203997: Graph the following.
A. x + 3y = − 6
b. 3x − 2y = 8

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Question 204054: how do you find the slope of y=-5x+2?
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Question 204054: how do you find the slope of y=-5x+2?
Click here to see answer by feliz1965(151) About Me 

Question 204091: find the intercepts and then use them to graph the equation 2y-6=2x
Click here to see answer by stanbon(57203) About Me 

Question 204096: Solve for y: 5x + 4y = 12
I got y=3-1 1/4x but was told it was incorrect. please help

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Question 204118: The graph of 4y = 5 is
a. A horizontal line c. A line that is neither horizontal nor vertical
b. A vertical line d. Not a line

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Question 204118: The graph of 4y = 5 is
a. A horizontal line c. A line that is neither horizontal nor vertical
b. A vertical line d. Not a line

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Question 204118: The graph of 4y = 5 is
a. A horizontal line c. A line that is neither horizontal nor vertical
b. A vertical line d. Not a line

Click here to see answer by jojo14344(1512) About Me 

Question 203955: Solve by grapghing, indicate whether each system is independent, inconsistent, or dependent. x + y =5
x-y=-1

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Question 204128: When graphing a linear inequality, how do you know if the inequality represents the area above the line?
Click here to see answer by Earlsdon(6287) About Me 

Question 204151: 5) A tennis club offers two payment options:
Option 1: $42 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C= 42+5x
Option 2: C= 8.50x
b) How many hours would you have to rent the court so the monthly cost of option 1 is less than option 2? Set up an inequality and show your work algebraically using the information in part a.
Answer:
Show your work here:
I try to solve for question a. where it asks me about option one C= and for Option two C=, but i have no idea if its correct. I dont know how to do the question b. Can someone help me and show me how to do this problem. My homework is due sunday at 9:59 California time. PLEASE!!!!!

Click here to see answer by Theo(3458) About Me 

Question 204181: How do you solve this equation for y:
2x+3=8
2x+3-3=8-3
2x=5
2x/2=5/2
x=5/2 or 2.5

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Question 204196: how do you solve something like -5x+1=>11
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Question 204212: how do you solve the equation 5x+4y=12 when you are solving for y?
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Question 204234: 5x + 4y = 12 for y
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Question 204296: if y varies directly as the square of x and y= -27 when x=3, find y when x is 6
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Question 204298: if y varies inversely as x and y =25 when x =4, find x when y is 10
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Question 204340: If the degree measure of the smallest angle of a triangle is
one-half of the degree measure of the second largest angle
and one-third of the degree measure of the largest angle,
then what is the degree measure of each angle?
I cannot graph this for the life of me...i tried changing the veribage around it still doesn't work for me please assist.

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Question 204340: If the degree measure of the smallest angle of a triangle is
one-half of the degree measure of the second largest angle
and one-third of the degree measure of the largest angle,
then what is the degree measure of each angle?
I cannot graph this for the life of me...i tried changing the veribage around it still doesn't work for me please assist.

Click here to see answer by MathTherapy(1419) About Me 

Question 204219: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W depicted in the following example. Be sure to reference all sources using APA style.
The average lifespan of American women has been tracked, and the linear model for the data is A = 0.2t + 73, where t = 0 corresponds to 1960. This implies that in 1980, t = 20, women lived an average of 77 years. A = 0.2(20) + 73 = 77. In addition, in 2000, t = 40, women lived an average of 81 years. A = 0.2(40) + 73 = 81.
I would like to use something that would work with the amount of gas that i use miles and price of gas if it works, i just dont know how to put it in and equation. Can someone please help me, and if this wont work for whatever reason please let me know of somthing that i can use and how to work it.

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Question 204202: The following graph shows Bob’s salary from the year 2000 to the year 2003. He was hired in the year 2000; therefore, x = 0 represents the year 2000.
2000=30,000
2001=32,000
2002=34,000
2003=36,000

a) List the coordinates of two points on the graph in (x, y) form.
(___, __),(___, ___)
b) Find the slope of this line:

c) Find the equation of this line in slope-intercept form.

d) If Bob’s salary trend continued, what would his salary be in the year 2005?

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Question 204614: what is the vertex of the parabola y=4x^2+8x+3
what is a parabola?

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Question 204613: what is the solution of x^2-4x+4=0

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Question 204612: what is the slope of this equation 2y - 3x + 10=1
please help me figure out slopes, also for future problems. maybe a step by step . thanks you so so much in advanced!
L

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Question 204587: For the 2 points, 3,3 and 5,7 generate the equation for a straight line
using slope, y-intercept procedures. Could you do this problem step by step so I can understand how to work this type of problem out. Thanks

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Question 204665: find the value of k such that the graph of 4x=k-3y has a y-intercept of (0, -8)
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Question 204700: In the xy plane find the equation of the straight line passing through the point (3,2) with y-intercept 1
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Question 204690: A child in an airport is able to cover meters in minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover meters in minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk? pls assist me thank yoyu
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Question 204741: Write the standard equation of the circle passing through (2,5) with the center at (-2,-3). Sketh the graph.
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Question 204726: The sum of the solutions to-
The+sum+of+the+solutions+to-%0D%0A%0D%0A x^2-2x-3=0 }}

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Question 204909: Solve linear equation using any technique.Name technique.check.
3x/4+6=-12
I would greatly appreciate your time and help.

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Question 204930: X-3y=-6
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Question 204970: I need to see how many solutions exist in this linear equation. Then I need to graph the two lines the linear equation makes. 0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3
Click here to see answer by stanbon(57203) About Me 

Question 205352: What is the slope of the line x+10+y, also y-x+-6
Are the pair of line parallel?
I believe the slope of the line is undefined for both but i could be wrong and also that they are parallel.

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Question 205376: solve by Elimination Using Addition and Subtraction method
2x + 4y = 8
y - 3 = x

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Question 205337: 3(y+8)-12y = 0
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Question 205427: The concept of slope arises in many practical applications. When designing and building roads, engineers and surveyors need to be concerned about the grade of the road. The grade, usually expressed as a percent, is one way to describe the steepness of the finished surface of the road. For example, a 5% grade means that the road has a slope (rise over run) of 0.05 = 5/100.
A.If a road has a 5% upward grade over a 1000-foot run how much higher will you be at the end of that run than at the beginning?
B.What is the grade of a road that rises 26 feet over a distance of 500 feet?

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Question 205454: 3x+2y=5.....I am so lost on how to get the answer to place on a graph. I have the formula, just not sure how to place y=mx+b. Please help.
Click here to see answer by ankor@dixie-net.com(15622) About Me 

Question 205493: how to solve this: f(x)= x2+x and g(x)=x2-x, question (f.g)(x) =?
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Question 205495: what is the slope and y-intercept of 3y-x=5
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Question 205496: the rule which describes th e relation as shown in the given table
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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