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

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Question 1133348: x> -4
y< 5
Click here to see answer by MathLover1(20849) About Me 
Question 1133702: The equation S = 15t tells us the salary (S, in dollars) of a worker who works for t hours.

a. What is the unit rate in this situation?

b. Graph the equation S = 15t in the grid. Label the axes. Choose the scaling for the two axes so that the point corresponding for working for 10 hours will fit on the grid.



Thank you!
Click here to see answer by MathLover1(20849) About Me 
Question 1133808: I need help understanding this problem and how to work the problem out.
Problem: For the straight line defined by the points (1,59) and (3,87), determine the slope and y-intercept. Do not round the answers.
m=slope b=y-intercept
Click here to see answer by josgarithmetic(39617) About Me 
Question 1133666: Can someone please help me with this question?
The equation S = 15t tells us the salary (S, in dollars) of a worker who works for t hours.


a. What is the unit rate in this situation?


b. Graph the equation S = 15t in the grid. Label the axes. Choose the scaling for the two axes so that the point corresponding for working for 10 hours will fit on the grid.


Thank you so much!
Click here to see answer by Shin123(626) About Me 
Question 1133666: Can someone please help me with this question?
The equation S = 15t tells us the salary (S, in dollars) of a worker who works for t hours.


a. What is the unit rate in this situation?


b. Graph the equation S = 15t in the grid. Label the axes. Choose the scaling for the two axes so that the point corresponding for working for 10 hours will fit on the grid.


Thank you so much!
Click here to see answer by MathTherapy(10552) About Me 
Question 1134031: 12 pts) Let f (x) = 3x2 + 4x - 8 and g(x) = 3 - 2x.
a. Evaluate the function (g - f)(x) for x = - 4. That is, find (g - f)( - 4). Show work.




b. Evaluate the function (fg)(x) for x = - 4. That is, find (f g)( - 4). Show work.





c. Show the difference function (f - g)(x). Simplify the function as much as possible. Show work.




Click here to see answer by MathLover1(20849) About Me 
Question 1134036: 5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given:
(1) Multiply by 3.
(2) Subtract 9.
(3) Take the square root.
(4) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.)
a. Find an expression for f (x). (no explanation required)



b. State the domain of f. (no explanation required)










Click here to see answer by MathLover1(20849) About Me 
Question 1134035: (6 pts) Given f(x)=|x-7| and g(x)=|x+5|, which of the following is the domain of the quotient function ? Briefly explain.
Answer_______
A. (-5,∞)
B. (-∞,-5) ∪ (-5,7) ∪ (7,∞)
C. (-7,-5) ∪ (-5,∞)
D. (-∞,-5)∪(-5,∞)










Click here to see answer by MathLover1(20849) About Me 
Question 1134048: (8 pts) Let f(x) = (x + 7)/(x- 5)^2
Calculate f(-3). Show the answer in exact form, simplified

State the domain of the function.

Determine f(a+3) and simplify as much as possible. Show work.

 
Click here to see answer by Theo(13342) About Me 
Question 1134050: (6 pts) Given f(x)=|x-7| and g(x)=|x+5|, which of the following is the domain of the quotient function ? Briefly explain.
Answer_______
A. (-5,∞)
B. (-∞,-5) ∪ (-5,7) ∪ (7,∞)
C. (-7,-5) ∪ (-5,∞)
D. (-∞,-5)∪(-5,∞)

Click here to see answer by MathLover1(20849) About Me 
Question 1134050: (6 pts) Given f(x)=|x-7| and g(x)=|x+5|, which of the following is the domain of the quotient function ? Briefly explain.
Answer_______
A. (-5,∞)
B. (-∞,-5) ∪ (-5,7) ∪ (7,∞)
C. (-7,-5) ∪ (-5,∞)
D. (-∞,-5)∪(-5,∞)

Click here to see answer by Theo(13342) About Me 
Question 1134071: What is the equation of the line that passes through (5, -2) and (-3, 4)?
Click here to see answer by Alan3354(69443) About Me 
Question 1134069: What is the equation of the line that passes through (5, -2) and (-3, 4)?
Click here to see answer by Alan3354(69443) About Me 
Question 1134073: What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.
Click here to see answer by Alan3354(69443) About Me 
Question 1134073: What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.
Click here to see answer by MathLover1(20849) About Me 
Question 1134072: What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.
Click here to see answer by Alan3354(69443) About Me 
Question 1134334: Whats the distance between the points (-5, -10) and (2, 4).

Click here to see answer by Boreal(15235) About Me 
Question 1134353: If 4 workers can paint a room in 3 hours, then approximately how long does it take 6 workers to paint the same room? Assume the time needed to paint the room is inversely proportional to the number of workers.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1134353: If 4 workers can paint a room in 3 hours, then approximately how long does it take 6 workers to paint the same room? Assume the time needed to paint the room is inversely proportional to the number of workers.

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1134353: If 4 workers can paint a room in 3 hours, then approximately how long does it take 6 workers to paint the same room? Assume the time needed to paint the room is inversely proportional to the number of workers.

Click here to see answer by greenestamps(13200) About Me 
Question 1134415: which graph is the graph of f(x)= x^2=4x+5
Click here to see answer by ikleyn(52781) About Me 
Question 1134415: which graph is the graph of f(x)= x^2=4x+5
Click here to see answer by Alan3354(69443) About Me 
Question 1134423: which graph is the graph of f(x)= x^2-4x+5
Click here to see answer by Boreal(15235) About Me 
Question 1134423: which graph is the graph of f(x)= x^2-4x+5
Click here to see answer by josmiceli(19441) About Me 
Question 1134416: complete the square to transform the given equation from Standard form to Vertex form. y=2x^2-12x+22
Click here to see answer by mathsolverplus(88) About Me 
Question 1134416: complete the square to transform the given equation from Standard form to Vertex form. y=2x^2-12x+22
Click here to see answer by josgarithmetic(39617) About Me 
Question 1134416: complete the square to transform the given equation from Standard form to Vertex form. y=2x^2-12x+22
Click here to see answer by ikleyn(52781) About Me 
Question 1134484: Could you help me with this problem?
I need to graph this first: f(x)= x^2-4x+5 and then show the values on the table.

x| -3 | -2 | -1 | 0 | 1 | 2 | 3
f(x)| | | | | | |


Then name the domain and range.
Click here to see answer by MathLover1(20849) About Me 
Question 1134484: Could you help me with this problem?
I need to graph this first: f(x)= x^2-4x+5 and then show the values on the table.

x| -3 | -2 | -1 | 0 | 1 | 2 | 3
f(x)| | | | | | |


Then name the domain and range.
Click here to see answer by rothauserc(4718) About Me 
Question 1134498: Witch is bigger -7 or -10
Click here to see answer by mathsolverplus(88) About Me 
Question 1134498: Witch is bigger -7 or -10
Click here to see answer by ikleyn(52781) About Me 
Question 1134665: What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?
Is my answer correct?
The graph and my answer are in the link here: https://prnt.sc/mkdhxy
Click here to see answer by ikleyn(52781) About Me 
Question 1134759: Transform f(x) into g(x) where the transformation is g(x)=−f(x)
where the points are (0,0) and (-2,-1)
Click here to see answer by ikleyn(52781) About Me 
Question 1134758: The graph of f(x) is shown in red.
Draw the graph of g(x)=f(−x).
After finishing the graph, click outside the grid to stop drawing.
points(-2,0),(0,2),(3,-1).
Click here to see answer by ikleyn(52781) About Me 
Question 1134757: Transform f(x) into g(x) where the transformation is g(x)=f(−x)
point (0,0),(2,1)?
Click here to see answer by ikleyn(52781) About Me 
Question 1134823: a motorist travelling at constant speed leaves A at 11 00 intending to arrive B , 100km away at 1300 . half an hour later one of the tyres are punctured ands he is delayed for 18 mins . how fast must he then proceed in order to reach B on time ? at what time will he meet a cyclist who leaves town B at 11 45 for A ., travelling at a contant speed of 20 km/h ? make a distancwe time graph
Click here to see answer by josmiceli(19441) About Me 
Question 1134823: a motorist travelling at constant speed leaves A at 11 00 intending to arrive B , 100km away at 1300 . half an hour later one of the tyres are punctured ands he is delayed for 18 mins . how fast must he then proceed in order to reach B on time ? at what time will he meet a cyclist who leaves town B at 11 45 for A ., travelling at a contant speed of 20 km/h ? make a distancwe time graph
Click here to see answer by MathTherapy(10552) About Me 
Question 1134914: I've been given this question to answer, I desperately need help. Please, and thank you.
Graph a line & write the equation of a line.
Suppose a line passes through the points ( 2, - 1) and ( 5, 8 ).
(1) Write the equation of the line in the following forms:
a) standard form,
b) slope-intercept form,
c) point-slope form,
d) two-point form (may have to Google this one).
(2) Graph the above line on a properly labeled rectangular coordinate system.
Click here to see answer by Boreal(15235) About Me 
Question 1134920: an airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a capacity of 8 passengers. their 12 vehicles have a combined maximum capacity of 56 passengers
Click here to see answer by ikleyn(52781) About Me 
Question 1134950: With the points (0,0) and( 2,-1). Transform f(x) into
G(x).where the transformation of g(x)= f(x+3)+1
Graph.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1134950: With the points (0,0) and( 2,-1). Transform f(x) into
G(x).where the transformation of g(x)= f(x+3)+1
Graph.
Click here to see answer by Alan3354(69443) About Me 
Question 1134967: Which graph represents the function?
f(x) = x^2 - 5x - 6/x^2 - x - 6
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/mm6qw6
Click here to see answer by mathsolverplus(88) About Me 
Question 1134967: Which graph represents the function?
f(x) = x^2 - 5x - 6/x^2 - x - 6
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/mm6qw6
Click here to see answer by MathLover1(20849) About Me 
Question 1134970: Which quadratic function best fits this data?
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/mmeh7q
Click here to see answer by MathLover1(20849) About Me 
Question 1134971: The number of wild flowers growing each year in a meadow is modeled by the function f(x).
f(x) = 1000/1 + 9e^-0.4x
Which statements are true about the population of wild flowers?
Select EACH correct answer.
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/mmeiwx
Click here to see answer by MathLover1(20849) 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, 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