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

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Question 1033024: use the slope and the y-intercept to graph the line
y=4x-8
Click here to see answer by rfer(16322)

Question 1033299: in the graph of the function y=-3x-2, when the value of x increases by 1 unit, the value of y decreases by how many units?
Click here to see answer by Fombitz(32388)

Question 1033315: tom has 42 coins in nickels and quarters. He has 6 more quarters than nickels, if x= number of nickels and y= number of quarters, then what is the solution set for the number of nickels and quarters?
Click here to see answer by stanbon(75887)

Question 1033341: given the function f(x)=-5x^2-6, what is the value of f(-2)
Click here to see answer by Fombitz(32388)

Question 1033345: the clays saved $3000 for their vacation, this includes $900 for travel ad $80 per day for miscellaneous, write an inequality which represents the number of days X, the family can stay on vacation
Click here to see answer by Theo(13342)

Question 1033027: regina says that (3,0) is a solution to the system y= |x-3| and 3x+3y=27 because it satisfies the first equation. rashel says (6,3) a solution to the system because it satisfies. both equations. who is correct? justify the answer.
Click here to see answer by jorel555(1290)

Question 1033480: Which of the following systems of equations has many solutions?
a)2x + 3y = 6
y = 2x + 2
b)8x � 4y = 12
y = 2x � 3
c)y = 4x + 3
y = 4x � 3
d)2x + y = 4
�2x � y = 4
Click here to see answer by Gogonati(855)

Question 1033537: I need to write my answer in slope-intercept form. The equation needing to be solved is ( -5,10) and (3,-6). This needs to be wrote in the slope intercept form.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1033557: Y=-2x^2+5
Click here to see answer by stanbon(75887)

Question 1033478: Which point is not a solution to the system of inequalities?
y > x � 5
y ≤ �x + 3
(4, �1)
(3, 0)
(0, 0)
(2, �2)
Click here to see answer by robertb(5830)

Question 1033634: Find the area of the polygon defined by the coordinates (0, -5), (-5, 0), (-15, -20), and (-20, -15).
Click here to see answer by Alan3354(69443)

Question 1033679: Whats the total number of solutions in the graph of this quadratic system?
Graph of quadratic system: goo.gl/PTvabH
Help is much appreciated.

Click here to see answer by FrankM(1040)

Question 1033674: Using the graph for reference, what do you estimate the solutions are to this quadratic system?
Graph: http://postimg.org/image/4hnymqhe9/
Choices:
(5, 0)
No solution
(�-5, 0), (�-3, 0) and (1, 0)
(�-3, �-8)

Click here to see answer by Theo(13342)

Question 1033672: Using the graph for reference, what do you estimate the solutions are to this quadratic system?
Graph: http://postimg.org/image/a0bcclvgx/
Choices:
(0, 3) and (0, �-5)
No solution
(-�3.5, 0), (�-0.5, 0), (1.5, 0), and (3.7, 0)
(-�3.5, �-0.5) and (1.5, 3.7)

Click here to see answer by Fombitz(32388)

Question 1033833: The water depth of falcon lake is decreasing at a rate of 2 inches per day. How much does the water depth change in ine month (30 days)?
Click here to see answer by fractalier(6550)

Question 1033834: Carbon-14 has a half-life of approximately 5700 years. What percentage of C-14 should remain in a fossil after 50,000 years?
Click here to see answer by fractalier(6550)

Question 1033839: Once a population has reached its carrying capacity in a logistic growth model, what is its growth rate?
Click here to see answer by fractalier(6550)

Question 1033844: The ph of a substance is calculated as pH=-log [H+], where H+ is the concentration of the hydrogen ion. If it's pH is 3.4, calculate the Hydrogen ion concentration.
Click here to see answer by fractalier(6550)

Question 1033841: The population of austin is increasing by an amount of 12,500 per year. If the population is 850,000 today, what will it be in 6 years?
Click here to see answer by fractalier(6550)

Question 1033846: What describes a situation of an exponential relationship?
Click here to see answer by fractalier(6550)

Question 1033843: A radioactive isotope has a decay rate of 2% per year. Calculate the half-life for this isotope, using the exact half-life formula.
Click here to see answer by Boreal(15235)

Question 1033836: A viral infection is discovered by the CDC in Atlanta to have a doubling time of only 36 hours. Assuming there are currently 50 cases, how long will it be before there are over 1000 cases of infection?
Click here to see answer by fractalier(6550)

Question 1033876: how to graph y=9 ? someone help please!!

Click here to see answer by ankor@dixie-net.com(22740)

Question 1033999: 1. Write the equation in slope-intercept form. -1/2x + y = 4
I need help writing this equation in slope-intercept form I'd appreciate the help thanks. If you could explain how you do it that would be great thank-you.
Click here to see answer by stanbon(75887)

Question 1033914: Find the area of the triangle whose sides lie on the graphs of 3x + y + 1 = 0, x + 4y -7 = 0, and -5x + 2y + 13 = 0
Click here to see answer by ikleyn(52778)

Question 1034018: Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)?
A. y = x
B. y = 5x
C. y = 5x � 1 D. y = 5x + 10
Click here to see answer by fractalier(6550)

Question 1034006: what is this equation written in vertex x2 + 6x - 2(Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)
Click here to see answer by fractalier(6550)

Question 1033845: Suppose you are planning a 2000-mile road trip and your car gets 36 mpg.
A)if gas costs $1.90 per gallon (national average), estimate the cost of gas for your trip.
B) a tesla model 3 gets 250 miles on one charge, which is 60 kW-h. If the electricity costs $.08/kW-h, how much would the electricity cost for this same trip?
Click here to see answer by jorel555(1290)

Question 1034091: find the equation of the tangent and normal of the curve x^2-2y^2+4=0, perpendicular to 2x-y+7=0

Click here to see answer by macston(5194)

Question 1034091: find the equation of the tangent and normal of the curve x^2-2y^2+4=0, perpendicular to 2x-y+7=0

Click here to see answer by ikleyn(52778)

Question 1034345: Find the slope of a line perpendicular to the line that has x-intercept (2,0)and has y-intercept of
(0,-2).
m=
Click here to see answer by Boreal(15235)

Question 1034347: Graph the following linear inequality. x≥1
Click here to see answer by solver91311(24713)

Question 1034376:
http://i359.photobucket.com/albums/oo40/bvialpando1/MSMTH123IA3Q7b_zpsqgzh1jbj.png << can you please help find an equation for this line in slope-intercept form? (I thought it was (y=0.20x - 0.70)) also, Based on "your " or the equation, predict the average heart rate for an animal that weighs 6000 kilograms. steps would help so much, thanks!
Click here to see answer by josgarithmetic(39617)

Question 1033633: Find a possible formula for the function. The x-intercept is marked with a point located at (3,0), and the y-intercept is marked with a point located at (0,−0.5). The asymptotes are y=−1 and x=6. Give your formula as a reduced rational function
Click here to see answer by robertb(5830)

Question 1033772: Find the equation of a line parallel to 3x+4y=7 intersect the positive x axis and positive y axis so that the triangle formed by the line and these axes has an area of 6.

Thank you in advanced!
Click here to see answer by robertb(5830)

Question 1034452: a gardener is planting 2 types of trees
type A is three feet tall and grows at a rate of 15 inches per year
type B is four feet tall and grows at a rate of 10 inches per year
Algebraically determine exactly how many years it will take for these trees to be the same height.
Click here to see answer by macston(5194)

Question 1034474: An office building worth $16, 172, 800 million when completed in 1990 was depreciated linearly over 50 years to $10, 000, 000.
a) Express the book value of the building V (n) as a function of year starting from 1990: n = 0, V (0) = 16, 172, 800 and sketch a graph.
Ok so the equation would be 22 + (x-100/50) I believe. But I don't think I'm making the graph correctly
Thank you!
Click here to see answer by ikleyn(52778)

Question 1034441: Consider the two functions shown here. Which function grows faster for large positive values of x? [Note: Function 1 is shown in the graph.]
Here is a link to picture of the functions: https://gyazo.com/8b43b72656349aeabdbe875ad894642d
Here are the answer choices
A) Function 1, because it has larger x values than function 2.
B) Function 1, because the y-value for x = 1 is greater in function 1.
C) Function 2, because all the range values of the function are positive.
D) Function 2, because the y-values increase faster than the y-values in function 1.
Click here to see answer by robertb(5830)

Question 1034574: Which equation represents the line with slope -2 that passes through the point (4,-1)?
Click here to see answer by Alan3354(69443)

Question 1033837: A country has a birth rate of 4.3 thousand, annual death rate of 2.1 per thousand, an immigration rate of 2.3 thousand and an emigration rate out of the country of 1.2 per thousand annually. Calculate the annual growth rate of the country's population.
Click here to see answer by fractalier(6550)

Question 1034875: What is thebanswer to this problem
(19,-16),(-7,-5)
Click here to see answer by Alan3354(69443)

Question 1034980: What is the equation of the line passing through the points (2, �1) and (5, �10) in slope-intercept form?
Click here to see answer by Cromlix(4381)

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