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

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Question 1191051: Graph the linear equation y=−23x+1
Click here to see answer by Alan3354(69443) About Me 

Question 1191412: Line i. is perpendicular to line joining points (-3, 2) and (5, 6) and it passes through intersection of the lines 2x-y-1 and 3x+3y-6. Determine the linear equation of the line
Click here to see answer by josgarithmetic(39617) About Me 

Question 1191568: solve -x^3 + 5x^2 - 8x + 4 ≥ 0 algebraically and graphically.
Please provide full answer. Thanks so much for your help :)

Click here to see answer by Alan3354(69443) About Me 
Question 1191568: solve -x^3 + 5x^2 - 8x + 4 ≥ 0 algebraically and graphically.
Please provide full answer. Thanks so much for your help :)

Click here to see answer by math_tutor2020(3816) About Me 
Question 1191568: solve -x^3 + 5x^2 - 8x + 4 ≥ 0 algebraically and graphically.
Please provide full answer. Thanks so much for your help :)

Click here to see answer by greenestamps(13198) About Me 

Question 1191581: A $25,000 automobile depreciates by 25% each year. Find its value after 5 years and after 9 months. (Round your answers to the nearest cent.)
(a) 5 years
$

(b) 9 months
$

Click here to see answer by Alan3354(69443) About Me 

Question 1191589: Could you please help me with this transformation?


Let the graph of g be a vertical stretch by a factor of 3, followed by a translation of 5 units up from the graph of f(x)=x^2. Write a rule for g.

Click here to see answer by MathLover1(20849) About Me 

Question 1191647: The line segment drawn from A(k, 3) to B(4, 1) is perpendicular to the segment drawn from C(-5, -6) to D(4, 1). Find the value of k.
Click here to see answer by ikleyn(52777) About Me 

Question 1191706: Could you please help me with this problem? This requires to be solved algebraically.
IMG-9172

Click here to see answer by math_helper(2461) About Me 

Question 1191797: Having trouble graphing f(x)=2/x-3
Can you please help?

Click here to see answer by Alan3354(69443) About Me 

Question 1191796: Find the domain of the function.
f(x)=3/x+9
Not sure what to do.


Click here to see answer by Theo(13342) About Me 

Question 1192013: Could you please help me with this transformation?
Let h ( x ) be the indicated combined transformation of f ( x ) = x. Write the rule for h ( x )
Horizontal stretch by a factor of 5 followed by a horizontal shift right 2 units

Click here to see answer by ikleyn(52777) About Me 

Question 1192160: maximize P = 6x = 3y
subject to:
material 20x + 5y <= 600lbs.
machinery 25x + 20y <= 1000 hrs
labor 20x + 30y <= 1200hrs
x, y > 0

Click here to see answer by Theo(13342) About Me 
Question 1192160: maximize P = 6x = 3y
subject to:
material 20x + 5y <= 600lbs.
machinery 25x + 20y <= 1000 hrs
labor 20x + 30y <= 1200hrs
x, y > 0

Click here to see answer by ikleyn(52777) About Me 

Question 1192190: what are the proper steps i would need to do in order to sketch a comprehensive graph of the polynomial function f(x)=0.1x^5-0.9x^3 by showing all the necessary steps of graphing a polynomial function.
Click here to see answer by ikleyn(52777) About Me 

Question 1192351: Y=-3/2x + 1
Click here to see answer by greenestamps(13198) About Me 

Question 1192402: write the exponential equation for the curve through the given points. through: (1,35) and (4,12005)
Click here to see answer by ikleyn(52777) About Me 

Question 1192403: -3x+y=-9
Click here to see answer by ikleyn(52777) About Me 

Question 1192394: Could you please help with this word problem for a quadratic function?
The height h (in feet) of a water balloon can be modeled by h(x) = -3x^2 + 24x + 11, where x is the horizontal distance (in feet) from the launch pad.
The launchpad is adjusted so that the water balloon lands exactly 9 feet away from the launchpad. Write a function that models the new path of the water balloon.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1192394: Could you please help with this word problem for a quadratic function?
The height h (in feet) of a water balloon can be modeled by h(x) = -3x^2 + 24x + 11, where x is the horizontal distance (in feet) from the launch pad.
The launchpad is adjusted so that the water balloon lands exactly 9 feet away from the launchpad. Write a function that models the new path of the water balloon.

Click here to see answer by greenestamps(13198) About Me 

Question 1192447: Could you please help me with the equation of a parabola? Please see the attached picture of the graph. Thank you in advance!
CC0-DCFDC-D4-B4-404-A-98-C8-48139-B78-B7-EC

Click here to see answer by greenestamps(13198) About Me 

Question 1192509: This question requires to write equation of the parabola from the given graph. Please see the attached picture if the graph. Would greatly appreciate your help.
1-E614-BCD-869-F-4-BFE-9-AD5-7-DEDB4-B3-DD50

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1192511: Can someone please help me how to work on this problem? Thank you.
If you were holding a U.S. penny, represented by the variable p, satisfying the minting date of this inequality, 1959 ≤ p ≤ 1981, you would notice that this single penny weighs exactly 3.11 grams. How many U.S. pennies would you need for a little more than 1 US ton of money?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1192906: Tala is a semi profession photographer in her spare time. As a wedding photographer she can earn 10 Jordan Dinars ( JOD). As a studio photographer she can earn 8 JOD an hour. She wants to spend at least 6 hours as a studio photographer. She can only work for a maximum of 20 hours a week. Obtain inequalities and graph your solution to find her maximum possible weekly earnings.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1192906: Tala is a semi profession photographer in her spare time. As a wedding photographer she can earn 10 Jordan Dinars ( JOD). As a studio photographer she can earn 8 JOD an hour. She wants to spend at least 6 hours as a studio photographer. She can only work for a maximum of 20 hours a week. Obtain inequalities and graph your solution to find her maximum possible weekly earnings.
Click here to see answer by ikleyn(52777) About Me 

Question 1193233: Graph the line by plotting any two ordered pairs that satisfy the equation.
−x−2y=9

Click here to see answer by Alan3354(69443) About Me 

Question 1193262: draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)
Click here to see answer by ikleyn(52777) About Me 

Question 1193757: How do you graph 1/3x+y=7

Click here to see answer by Alan3354(69443) About Me 

Question 1194134: E is the yard line a player is tackled on if he caught a ball at the 2-yard line, ran 10 yards and then was forced back 2 yards before he was tackled. What is the answer?
Click here to see answer by ikleyn(52777) About Me 

Question 1194239: the sum of two numbers is 49 and the difference is 17 less than the larger number what are the numbers
Click here to see answer by Alan3354(69443) About Me 
Question 1194239: the sum of two numbers is 49 and the difference is 17 less than the larger number what are the numbers
Click here to see answer by MathTherapy(10551) About Me 
Question 1194239: the sum of two numbers is 49 and the difference is 17 less than the larger number what are the numbers
Click here to see answer by josgarithmetic(39617) About Me 

Question 1194439: Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? A. (3,0) B. (-2,1) C. (2,-3), D. (-3,-1)
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1194439: Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function? A. (3,0) B. (-2,1) C. (2,-3), D. (-3,-1)
Click here to see answer by math_tutor2020(3816) About Me 

Question 1194469: The Star Electronics Company produces two robotic vacuums.
The production process for each product is similar in that
both require a certain number of hours of electronic work
and a certain number of labour hours in the assembly
department. Robotic vacuum A takes 4 hours of electronic
work and 2 hours in the assembly shop. Robotic vacuum B
requires 3 hours in electronics and 1 hour in assembly.
During the current production period, 240 hours of
electronic time are available, and 100 hours of assembly
department time are available. Each robotic vacuum A sold
yields a profit of RM 700 while each robotic vacuum B
produced may be sold for a RM 500 profit.
Formulate a linear programming model for this problem.
a) Find the objective function
b) Identify the variable and list all the constraints
c) Calculate the intersection point.
d) Draw the graph with a complete label of the axis,
intersection point, line equation, and shaded region.
e) Find the optimal solution

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1194469: The Star Electronics Company produces two robotic vacuums.
The production process for each product is similar in that
both require a certain number of hours of electronic work
and a certain number of labour hours in the assembly
department. Robotic vacuum A takes 4 hours of electronic
work and 2 hours in the assembly shop. Robotic vacuum B
requires 3 hours in electronics and 1 hour in assembly.
During the current production period, 240 hours of
electronic time are available, and 100 hours of assembly
department time are available. Each robotic vacuum A sold
yields a profit of RM 700 while each robotic vacuum B
produced may be sold for a RM 500 profit.
Formulate a linear programming model for this problem.
a) Find the objective function
b) Identify the variable and list all the constraints
c) Calculate the intersection point.
d) Draw the graph with a complete label of the axis,
intersection point, line equation, and shaded region.
e) Find the optimal solution

Click here to see answer by mccravyedwin(406) About Me 

Question 1194496: A number with two digits is equal to four times the sum of its digits. The number formed by reversing the order of the digit is 27 greater than the given number. Find the number

Click here to see answer by math_helper(2461) About Me 

Question 1194670: 1. For the functions f(x) = 2^x and g(x) = 3^x :
a) What are the Domains and Ranges of these functions?
b) What point(s) do they have in common and why?
c) Starting with y = 2^x, what would y = 2^x+4 - 3 look like in comparison to y = 2^x? Explain each step and show each interim equation which illustrates each step. You may attach a graph if you'd like.
d) How does y = (1/2)^x look in relation to y = 2^x? Why is this?

Click here to see answer by greenestamps(13198) About Me 

Question 1194729: Illustrate a curve that has a line with a point of tangency
as well as three other points of intersection. (1 mark)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1194730: An automobile’s distance is given by d=30t (t in seconds,
ci in metres):
a) Graph the function using a suitable scale and any
means at your disposal. (1 mark)
b) Draw the secants from the point (2,60) to each of the
points on the graph ending at t = 3, 2.5, 2.1, 1.01.
(2 marks)
c) Determine the equations of each of the secants
in part b). (1 mark)
d) Explain your results from part c). (1 mark)

Click here to see answer by Alan3354(69443) About Me 
Question 1194730: An automobile’s distance is given by d=30t (t in seconds,
ci in metres):
a) Graph the function using a suitable scale and any
means at your disposal. (1 mark)
b) Draw the secants from the point (2,60) to each of the
points on the graph ending at t = 3, 2.5, 2.1, 1.01.
(2 marks)
c) Determine the equations of each of the secants
in part b). (1 mark)
d) Explain your results from part c). (1 mark)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1194791: please help me solve this word problem .An automobile’s distance is given by d=30t (t in seconds,
ci in metres):
a) Graph the function using a suitable scale and any
means at your disposal.
b) Draw the secants from the point (2,60) to each of the
points on the graph ending at t = 3, 2.5, 2.1, 1.01.
c) Determine the equations of each of the secants
in part b).
d) Explain your results from part c).

Click here to see answer by Alan3354(69443) About Me 

Question 1195014: x%5E2-3x-6=0

Click here to see answer by Theo(13342) About Me 

Question 1195015: Use your graph to solve the equation x%5E2-3x-6=0
Click here to see answer by josgarithmetic(39617) About Me 

Question 1195027: If x+=+100 and y+=+1, then 19x%2B83y+=+1983. There is exactly one other pair of positive integers x and y, for which this equation is true. What is the sum of this pair of integers?
Click here to see answer by Alan3354(69443) 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