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

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Question 1077933: In the year 1985, a house was valued at $116,000. By the year 2005, the value had appreciated exponentially to $155,000. What was the annual growth rate between 1985 and 2005? (Round your answer to four decimal places.)
Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010? (Round your answer to the nearest dollar.)
Click here to see answer by jorel1380(3719)

Question 1077975: what equation is parallel to y=3x+4 and runs through the point (2,3)

Click here to see answer by josgarithmetic(39617)

Question 1077981: what is the equation perpendicular to y=3x+4 and runs through (3,2)
Click here to see answer by josgarithmetic(39617)

Question 1077948: Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the company can make the most money if it places the factory exactly halfway between A and B. However, due to environmental hazards produced by the factory, it is safe for the people living in A and B only if the factory is located exactly ⅓ of the distance from A going toward B. Find the coordinates of the point where the factory should be placed to ensure the most ethical outcome.
Click here to see answer by josmiceli(19441)

Question 1077354: graph the following piecewise function using the table method.

f(x) = x+4 for x< or equal to 1
f(x) = 8-x for x>2
Click here to see answer by Fombitz(32388)

Question 1078117: Given that f(x)=-4, evaluate f(3)
Click here to see answer by ikleyn(52781)

Question 1078200: Find the equation of the line that passes through the points (-2,5) and (2,3)
and
Find the distance between points (3,4) and (-1,0)
Click here to see answer by stanbon(75887)

Question 1078217: Write a linear inequality to represent the information given. The total feeds for the high school play are $240. Tickets to the play cost $4 for students and $10 for nonstudents. Write a linear inequality that describes the number of student and nonstudent tickets that need to be sold for the drama class to be able to pay the fees. Let x represent the number of student tickets and let y represent the number of nonstudent tickets
Click here to see answer by Fombitz(32388)

Question 1078221: if f(x)= 3x^2, what are all real values of a and b for which the graph of g(x)= ax^2+b os below the graph of f(x) for all values of x
Click here to see answer by stanbon(75887)

Question 1078369: x+y=4
2x-5y=15
Click here to see answer by Alan3354(69443)

Question 1079003: Y = -0.3x-5.5 what is the slope?
Click here to see answer by ikleyn(52781)

Question 1079053: What is the x intercept and y intercept of -x+8y=-9
Click here to see answer by Alan3354(69443)

Question 1079195: Use the formula for compound interest to find A. A = Left parenthesis 1 plus r right parenthesis Superscript n(1 + r)n P = $30000, r = 0.14, and n = 4 years
Click here to see answer by Theo(13342)

Question 1079250: f(x)=(sq. route x-1) if x>1
Click here to see answer by Fombitz(32388)

Question 1079271: 1.What is the equation of the line between the points P(3,-1); Q(-4,5) in slope intercept form?
2.What is the equation of the line between the points M(-2,30; N(0,3) in slope intercept form?
3.What is the center and radius for the circle of x^2+y^2-4x+6y+12=0?
4. What is the standard equation of the circle given the center of (5,6) and radius of 3 radical 2?

Click here to see answer by Fombitz(32388)

Question 1079285: 1. What is the line parallel to y=6/7x+11/7 through point (0,2)?
2. What is the line perpendicular to y=0x+3 through point (-3,4)?
3. Use synthetic division to find the value of the function when x=2 where f(x)=5x^4-12x^2+2x-8
4. Factor (x-1)(x^3+2x^2+3x+2)completely
Click here to see answer by josgarithmetic(39617)

Question 1079317: Hello, I have to find three ordered pairs, & graph them on a coordinate plane, for the following equation:
2x-y=3. I have to table the ordered pairs in x and y columns.
Do I convert the equation to: y=2x-3 ? Or do I convert the equation to: y=2x+3 ? Or do I need to convert the 2x to a negative 2x ?
Please help?
Click here to see answer by josmiceli(19441)

Question 1079298: I need help graphing an example of the equations of a hyperbola with an ellipse that share the vertices & center. Thanks a lot.
Click here to see answer by Edwin McCravy(20055)

Question 1079289: Find the area of the region that is bounded by the graphs of
f(x)= 4/x , x>0 and g(x)=5-x

Click here to see answer by KMST(5328)

Question 1079438: 3x-y=5 when x=-4
Click here to see answer by MathLover1(20849)

Question 1079446: Without using a calculator, identify the terminal side quadrant of the given angle in standard position.
θ = �0.7
Select one:
a. QI
b. QIV
c. QII
d. QIII
Click here to see answer by Alan3354(69443)

Question 1079475: Can you please show me a graph for solving this problem y=1/10x+3
Click here to see answer by MathLover1(20849)

Question 1079613: graph a quadrilateral with points of A(6,5), B(-3,-1), C(-1,-4), D(8,2)
what type of quadrilateral is ABCD? Use slope to justify my answer
Click here to see answer by jim_thompson5910(35256)

Question 1079703: Y=2f(x)
Click here to see answer by Alan3354(69443)

Question 1079798: Which expression is equivalent to ?

a ≥ �3 and a ≤ 3

a ≤ �3 and a ≥ 3

a ≥ �3 or a ≤ 3

a ≤ �3 or a ≥ 3

Click here to see answer by rapture(86)

Question 1079828: 1/(x^2-x-12)=(A/(x-4))+(B/(x+3))
Find A,B for this equation to make sense
(2/((x-5)(x+3))=(A/(x-5))+(B/(x+3))
Find A,B for this equation to make sense
Click here to see answer by Boreal(15235)

Question 1079929: in plotting a quadratic graph, complete the table of values for y=6x-2-x^2
thank you.
Click here to see answer by Boreal(15235)

Question 1080150: If X and Y are nutural number, the solution of the equation 2x+y=5 is
Click here to see answer by Fombitz(32388)

Question 1080154: Need help with this. Thanks for your help.
Create two ordered pairs so that the slope of the line between them is:

positive,
negative,
zero,
undefined.
Use both graph and the slope of the formula as proof.
Click here to see answer by Fombitz(32388)

Question 1080152: Graph the equation below using the three listed methods.
y= -2x + 4
Methods:
table of values
slope intercept form
X and Y intercepts
Explain each step as you graph the equation
Need immediate help with this. Thank you.

Click here to see answer by Edwin McCravy(20055)

Question 1080163: List all (if any) y-intercepts for the graph of
f(x) = x� + 3x - 28. Be sure to give the whole point. If the graph has no y-intercepts, type none.
Click here to see answer by Fombitz(32388)

Question 1080244: How do you graph -2
Click here to see answer by Alan3354(69443)

Question 1080440: How to graph y = |-x|
Click here to see answer by stanbon(75887)

Question 1080610: https://www.usatestprep.com/modules/gallery/files/23/2371/2371.gif
Determine the range of the graphed exponential function. [Note: The line y = 5 is a horizontal asymptote.]
A) (5, ∞]
B) [5, ∞)
C) (5, ∞)
D) [5, ∞]
Click here to see answer by Theo(13342)

Question 1080612: https://www.usatestprep.com/modules/gallery/files/34/3402/3402.png
The graph of the function f(x) = x3 � 7x � 6 intersects the x-axis at the points (�2, 0), (�1, 0), and (3, 0) as shown.
Which expression is equivalent to x3 � 7x � 6?
A) (x � 1)(x � 2)(x � 3)
B) (x � 1)(x + 2)(x � 3)
C) (x + 1)(x � 2)(x � 3)
D) (x + 1)(x + 2)(x � 3)
Click here to see answer by Boreal(15235)

Question 1080616: https://www.usatestprep.com/modules/gallery/files/91/9101/9101.png
If the graph is that of f(x), name a point that lies on f-1 (x).
A) (3, 1)
B) (2, -2)
C) (1, -3)
D) (-3, 1)
Click here to see answer by jim_thompson5910(35256)

Question 1080620: https://www.usatestprep.com/modules/gallery/files/147/14777/14777.png
Use the graphs of f(x) =
2
x
and g(x) =
1
-3-x
to determine the solutions to f(x) = g(x).
A) (-2, -1)
B) (-2, 1)
C) (2, 1)
D) (2, -1)
Click here to see answer by Boreal(15235)

Question 1080618: https://www.usatestprep.com/modules/gallery/files/116/11627/11627.png
What is the domain of the graphed function?
A) y ≥ 4
B) x ≥ -2
C) y ≥ -2
D) x ≤ -2

Click here to see answer by jim_thompson5910(35256)

Question 1080627: https://www.usatestprep.com/modules/gallery/files/23/2371/2371.gif
Determine the range of the graphed exponential function. [Note: The line y = 5 is a horizontal asymptote.]
A) (5, ∞]
Eliminate
B) [5, ∞)
C) (5, ∞)
D) [5, ∞]

Click here to see answer by MathLover1(20849)

Question 1080639: https://www.usatestprep.com/modules/gallery/files/222/22255/22255.JPG
Function 2
x y
2 3
3 5
4 7
5 9
A) Function 1 has a greater rate of change by 2
Eliminate
B) Function 2 has a greater rate of change by 2
C) Function 1 has a greater rate of change by 3/2
D) Function 2 has a greater rate of change by 3/2
Click here to see answer by MathLover1(20849)

Question 1080745: Graph the following polar equation of r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π
to should transfer shaped from a heart to a bell. Which values of produce this heart-shaped curve and which values of produce the bell-shaped counter-part?
Click here to see answer by jim_thompson5910(35256)

Question 1080773: Please help me graph the polar equation of r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π.
to should transfer from a heart to a bell. Which values of produce this heart-shaped curve and which values of produce the bell-shaped counter-part? Thank you very much.
Click here to see answer by estron7(44)

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