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

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Question 146077: The median age at 1st marriage for females increased from 24.5 years in 1995 to 25.1 in 2000 1995 will be year 5 and 2000 be year 10
Find equation of line through (5,24.5) and (10,25.1) What does X and Y represent in the equation? Interpret slope of this line and in what year will the median age be 30?

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Question 146076: The % of workers receiving direct deposit of their paychecks went from 32% in 1994 to 60% in 2004. Let 1994 be year 0 and 2004 be year 10.
Write equation of the line through (0,32) and (10,60) to model the growth of direct deposit
Use equation to predict the year in which 100% of all workers will receive direct deposit

Click here to see answer by checkley77(12844) About Me 

Question 146074: Helen's Health food usually sells 400 cans of Propac per week while price is $5.00 per can. After playing with prices for awhile Helen has determined that the weekly demand can be found by using this equation: D=600-40P
where d is cans and p is price per can
Will Helen sell more or less Propac if she raises the price?
What happens to her sales every time she raises her price by $1?

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

Question 146073: The national cost C in billions of dollars for dental services can be modeled by C=2.85n +30.52
Find and interpret the c-intercept, find and interpret the n intercept graph the line for n ranging from 0-20 and if trend continues what year will the cost of dental services reach 100 billion?

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Question 146078: Basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28 year old female with a height of 160 centimeters and a weight of 45 kilograms (kg) B is 1300 calories. If her weight increases to 50 kg, than B is 1365 calories. There is a linear equation that expresses B in terms of her weight W. Find the equation and find the basal energy requirement if her weight is 53.2 kg
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 146131: The point -12 and 4 is on the graph of y=f(x) Find a point on the graph of y=g(x)
g(x)=f(x-2)

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Question 146115: hope someone could help me with this
The point (-12,4) is on the gaph of y=f(x). Find a point on the graph of y=g(x)
a. g(x)=f(x-2)
b. g(x)=f(4x)
graph both

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Question 146400: Solve then graph
y+3 < 6

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Question 146380: A line which contains the points (-3, 3) and (-8, -2) would have as slope of 5/5. What does this slope simplify to?

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Question 146433: hope someone could help me with this
Suppose a farmer has 160 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length. Give an answer by describing your solution.
The solution is one of the following:

1. A(x) = x^2 – 40x
2. B. A(x)= square root 25,600-x^2
3. A(x) = 160x – x^2
4. A(x) = 80x – x^2

Which one do you think is correct? show your work

Click here to see answer by nerdybill(7384) About Me 

Question 146460: I am hoping that someone can just give me the formula for figuring out a word problem involving compound interest. Orig invest $100. 7% annually. How long to earn $600. I can find examples everywhere for simple interest but can't find anything in 2 separate texts about compound interest. HELP!!! Thanks
Click here to see answer by stanbon(75887) About Me 

Question 146455: When x is 2 or greater, the graph is the line y = x+4; when x is less than 2, the graph is the line y =3x.
Thank you to anyone who can help

Click here to see answer by ishan sethi(3) About Me 

Question 146535: Please help, I'm so confused!
Write an equation of the line that has the given slope and y-intercept.
1) m = 3, b = -4
2) m = 0, b = -5

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Question 146559: What are the domain and range of the function f(x) = |x| ?
Thank you

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Question 146563: Write the linear function for which f (3)=6 and f(-4)=2.
Thank you

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Question 146562: Sketch the graph of f(x)=x 2 squar -9 and find the interval(s) (if any) where f(x)=0
Thank you

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Question 146604: graph the system of inequalities
xless than equal to 2
y greater than equal to -2x+2

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

Question 146623: Plot the points and find the slope of the line passing through the points (-4,0),(-4,3)
Click here to see answer by vleith(2983) About Me 

Question 146664: Enzyme concentration.
In one test, the chemist measures the concentration of the enzyme, c, in milligrams per milliliter and the fraction of light absorbed by the liquid, a. If a >0.07c + 0.02, then the enzyme is working as it should. Graph the inequality in the first quadrant.

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Question 146688: Determine which two equations represent perpendicular lines?
(a) y = 4x – 8
(b) y = 1/4x + 8
(c) y = – 1/4x + 8
(d) y = 1/4x – 8
I am not coming up with any of the sulutions can you please help me out.

Click here to see answer by checkley77(12844) About Me 

Question 146761:
A mechanic is paid $12.00 per hour for regular time and time-and-a half for overtime. The weekly wage function is given by

W (h) = {(12h,040)
Please help

Click here to see answer by nerdybill(7384) About Me 

Question 146776: Use the intercepts to graph the equation x+2y=4.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 146777: Graph the Equation and Identify the y intercept.
y+x=-7

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Question 146774: Graph the system of equalities.
y is greater than or equal to -3
x is less tha or equal to 5.

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Question 146779: Graph the equation using the slope and the y-intercept
y=9/4 x+6

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Question 146778: Graph inequality.
3x+4y is less than or equal to 12.

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Question 146814: Segment P1P2 has length L and endpoints P1=(2,7) and P2=(8,3).
Find a point on P1P2 that is 1/3L away from P1.
A.(6,11/3)
B.(4,5)
C.(4,17/3)
D.(11/3,17/3)
E. NONE OF THE ABOVE.
I have no idea how to begin to solve this problem please help me step by step . YOUR HELP IS GREATLY APPRECIATED!

Click here to see answer by bucky(2189) About Me 

Question 146828: Graph the feasible region for each system of inequalities
2x-y<1
3x+y<6

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Question 146870: Solve each inequality. Then check your solutions.
1.-y ≤36
2. 5/14 ≥-2e/7
thanks for the help

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Question 146893: Find the quadratic function that has a vertex at (-1,3) and whose graph passes through the point (2,1).
Click here to see answer by Edwin McCravy(20054) About Me 

Question 146901: 11) Graph the equation using the slope and the y-intercept
y=5x+4
3

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

Question 146903: 13) Graph the inequality on a plane
5x+6y <= 30

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

Question 146961: solve the system of equations by graphing
x-2y=10
x+2y=-2

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Question 146971: Find both intercepts of f(x) = (1-2x)/(2x+3)
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Question 146972: Find the vertical and horizontal asymptote(s).
f(x) = (2x+3)/(x-1)
Thank you

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Question 146970: f(x) = x ^2 + 10x -19. Identify the vertex and intercept(s).
Thank You

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Question 146970: f(x) = x ^2 + 10x -19. Identify the vertex and intercept(s).
Thank You

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

Question 146988: Consider the following graph y=f(x) the graph shows a squirrly line with (y)P being -1 and the line then crossing the x axis at 1.
If h(x)=f(x)-3 what would be the new coordinates of P be after the shidt ( give answer in ( x,y) form.
If k(x)=-f(x) wha twould be the new coordinates of P after the reflection? give answer in (x,y) form.

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Question 147001: Show the graph for the quadratic function f(x)=(x-1)^2-2
Thank you for any help

Click here to see answer by Fombitz(32388) About Me 

Question 147064: What is the difference, if any, between solving an equation and solving an inequality?

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Question 147071: f(x)= -x^2+2x+5. Identify the vertex and intercept(s)
Thank you

Click here to see answer by oscargut(2103) About Me 

Question 147068: Show the graph for f(x)=4-(x-2)^2
Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 147067: Show the graph for
f(x)=(x-2)^2
Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 147063: Hello, I need help solving equation like the following:
0.7(3x + 4) ≥ 1.3 – (x+2)
I know I remove the parentheses by multiplying
2.1x + 2.8 ≥ -1.3x? + -2.6
I am not sure if I multiply –x and -2 by 1.3 if so, I have

I add 1.3x to each side and get 3.4x and subtract 2.8 from each side and get
3.4x ≥ - 5.4
Divide both sides by 3.4
X = -5.4 OR 1.6 rounded. I know this is incorrect but where did I go wrong?
3.4
Thank you for your help.

Click here to see answer by Fombitz(32388) 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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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