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

Tutors Answer Your Questions about Graphs (FREE)

Question 1107745: Find the equation in general (standard) form of the line passing through (0,5) and (6,-1)
Click here to see answer by Boreal(15235)

Question 1107746: determine the equation of the line
(-4,-3) (0,-3) (4,-3)
Click here to see answer by Boreal(15235)

Question 1107743: Given the information write the equation of the line in slope intercept form
Slop=-11, y-intercept=-4
m=3, line passes through (4,1)
Click here to see answer by Boreal(15235)

Question 1107767: Solve |y|>=x. (Hint:Write two inequalities; then graph them.)
Click here to see answer by Alan3354(69443)

Question 1107847: Find the equation of the line that fits the description. Passes through (0,-6)and has zero slope
Click here to see answer by josgarithmetic(39617)

Question 1107820: sketch the graph of a line passing through the point (3, -1) and having
slope = negative 2 Over 3.
Label your points on the graph

Click here to see answer by josgarithmetic(39617)

Question 1107859: Write an equation for the line that passes through (-13,15) and whose slope is undefined. Give an answer in standard form. Write the equation in the standard form where all coefficients are expressed as relatively prime integers.
Click here to see answer by stanbon(75887)

Question 1107863: Suppose that speeding fines are determined by the linear function
f(x)= 10 (x-65)+50,xgreat then65, where f(x) is the cost in dollars of the fine if a person is caught driving x miles per hour.
(a) Radar clocked a driver at 76 mph. How much was the fine?
(b) While balancing his checkbook, a person ran across a canceled check that his wife had written to the Department of Motor Vehicles for a speeding fine. The check was written for $100. How fast was his wife driving?
(c) At what whole-number speed are tickets first given?
(d) For what speeds is the fine greater than $200?
(a) The fine was $
Click here to see answer by stanbon(75887)

Question 1107861: The percentage of a country's population 25 years and older with at least a high school diploma is shown in the table for selected years. Let
x=0
represent 1950,
x=10
represent 1960, and so on.
(a) Use the data for 1950 and 2000 to find a linear function f that models the data.

(b) Use the function from part (a) to approximate the percentage of the country's population 25 years and older who were at least high school graduates in 1995.
High School Graduates

Year
Percent

1950
34.7

1960
40.7

1970
54.4

1980
66.6
1990
77.9
2000
87.3
2005
88.4

(a) A linear function that models the data is f(x)=
Click here to see answer by Boreal(15235)

Question 1107860: Students stuff envelopes for extra money. Their initial cost to obtain the information for the job was $110. Each envelope costs $.05 and they get paid $.06 per envelope stuffed. Let x represent the number of envelopes stuffed.
(a) Express the cost C as a function of x.
(b) Express the revenue R as a function of x.
(c) Determine the value of x for which revenue equals cost.
(a) C(x)= (C in dollars)
Click here to see answer by stanbon(75887)

Question 1106713: On the grid show, by shading, the region defined by the inequalities
Label the region R.
x < 4
2x+y > 6
y > 1/3x

Click here to see answer by HEY654321(7)

Question 1107955: Can someone please help me graph the following function, id the domain and range and compare the graph with a graph of y=1/x
Function y=1/x+3 +3
thank you.
Click here to see answer by josgarithmetic(39617)

Question 1108018: Five times a number is at the most 30
Click here to see answer by Alan3354(69443)

Question 1108061: Using elimination method what is x and y in the equation:
2x/3 + y/6 = 1
x/6 - y/2 = 1
Click here to see answer by Alan3354(69443)

Question 1108061: Using elimination method what is x and y in the equation:
2x/3 + y/6 = 1
x/6 - y/2 = 1
Click here to see answer by rothauserc(4718)

Question 1108070: Graph the system of equations on graph paper.
{8x+6y=482x−3y=−6
Which statements are true about the solution to the system of equations?
Select each correct answer.

The ordered pair that is the solution to the system lies in Quadrant I .
The ordered pair that is the solution to the system lies in Quadrant II .
The x-coordinate of the solution is −3 .
The y-coordinate of the solution is 3.
The x-coordinate of the solution is 3.
The y-coordinate of the solution is 4.
Click here to see answer by Theo(13342)

Question 1108095:
Solve the system using elimination.
x � y = �5
3x + y = 1

Click here to see answer by Alan3354(69443)

Question 1108218: 5.3x plus 6.7x minus13.9x. Solve the variable
Click here to see answer by Theo(13342)

Question 1108218: 5.3x plus 6.7x minus13.9x. Solve the variable
Click here to see answer by Alan3354(69443)

Question 1108256: Which ordered pair is a solution of the inequality? Y>4x-5
Click here to see answer by ikleyn(52781)

Question 1108273: Graph the function. Compare the graph with the graph of f(x)=x.
f(x)=x-6
k(x)=-2.5x
f(x)=2x+1

Click here to see answer by Fombitz(32388)

Question 1106948: solve : floor(x) -x =-0.2
find value of a if i^(a!)=I^84 :i^2=-1

Click here to see answer by 7022(2)

Question 1108391: how would g(x)=-f(x)-3 would look on a graph? or the representation of such?

Click here to see answer by jim_thompson5910(35256)

Question 1108394: Considering the fact that under specific physical/chemical conditions, water freezes at degrees Fahrenheit (f) on the Fahrenheit temperature scale or at 0 degree Celsius on the Celsius scale, and boils at 'F or 100*C,
a). Find the linear relationship between Fahrenheit and Celsius temperature scales as F=f(C) and write it in slope intercept form.
b). If, on the Fahrenheit temperature scale, the normal/natural body temperature of a healthy person is 98.6 F, what would be the body temperature in C of a patient who is running a fever 2 degrees Fahrenheit above normal?
Click here to see answer by josgarithmetic(39617)

Question 1108411: Given f(x)=x-2, find g(x) in such a way that its graph would be a vertical shift of the graph of f(x) by 3 units

Click here to see answer by ikleyn(52781)

Question 1108439: 4x=y+3
8x-3=2y
Click here to see answer by josgarithmetic(39617)

Question 1108485: y=4/3x+2
Click here to see answer by stanbon(75887)

Question 1108648: Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $80. Two adults and three children must pay $57. Find the price of the adult's ticket and the price of a child's ticket.
Click here to see answer by josgarithmetic(39617)

Question 1108695: IF e^(a!) =e^84 find value of a?
Click here to see answer by math_helper(2461)

Question 1108693: https://cds.flipswitch.com/tools/asset/media/605089
Suppose your town is laid out on a grid, as shown. The location of your house, H(3,−1), and your friend's house, F(0,3), are placed on the grid in relation to the center of town, (0,0). Each unit on the grid is equal to 1 mile.
The distance from your house to your friend's house, if that distance could be walked in a straight line, is ______ miles.
Click here to see answer by Boreal(15235)

Question 1108805: Solve using the graphical method. Choose your variables, identify the objective function and the constraints, graph the constraints, shade the feasibility region, identify all corner points, and determine the solution that optimizes the objective function. Use this information to answer the following 8-part question:
A company produces two types of shoes - casual, and athletic - at its two factories, Factory I and Factory II. Daily production at each factory for number of pairs of each type of shoe is listed below:
Factory I Factory II
Casual 100 200
Athletic 300 100
The company must produce at least 8000 pairs of casual shoes, and 9000 pairs of athletic shoes. The cost of operating Factory I is $1500 per day and the cost of operating Factory II is $2000. Management needs to determine the number of days each factory needs to operate to meet production goals at minimum cost.
(i) Which variable should x define? (Enter letter for correct answer in the blank)
a. number of pairs of athletic shoes produced
b. number of days Factory I operates
c. number of pairs of casual shoes produced
d. cost to produce a pair of athletic shoes

(ii) Which variable should y define? (Enter letter for correct answer in the blank)
a. number of pairs of athletic shoes produced
b. cost to produce a pair of casual shoes
c. number of pairs of casual shoes produced
d. number of days Factory II operates

(iii) Which of the following correctly defines the constraint on total daily production of pairs of casual shoes? (Enter letter for correct answer in the blank)
a. 200x+100y≤8000
b. 100x+200y≤8000
c. 200x+100y≥8000
d. 100x+200y≥8000

(iv) Which of the following correctly defines the constraint on total daily production of pairs of athletic shoes? (Enter letter for correct answer in the blank)
a. 300x+100y≥9000
b. 100x+300y≥9000
c. 300x+100y≤9000
d. 100x+300y≤9000

(v) Which of the following correctly defines the objective function? (Enter letter for correct answer in the blank)
a. C=8000x+9000y
b. C=9000x+8000y
c. C=1500x+2000y
d. C=2000x+1500y

(vi) Which of the following sets of corner points correctly defines the feasible region for this system of linear inequalities? (Enter letter for correct answer in the blank)
a. (0, 0) ; (40, 0) ; (20, 30) ; (30, 0)
b. (0, 40) ; (0, 90) ; (20, 30)
c. (0, 90) ; (20, 30) ; (80, 0)
d. (20, 30) ; (30, 0) ; (80, 0)

(vii) Based on your determination of the feasible region for this business process, how many days should each factory operate to meet production goals at minimum cost? (Enter letter for correct answer in the blank)
a. 30 days for Factory I and 0 days for Factory II
b. 20 days for Factory I and 30 days for Factory II
c. 0 days for Factory I and 40 days for Factory II
d. None of these answers are correct

(viii) Which of the following is the correct value for the minimum cost to meet production goals for both types of shoes?
a. C = $45000
b. C = $80000
c. C = $90000
d. C = $120000

Click here to see answer by ikleyn(52781)

Question 1108929: What is the distance between A(15,21) and B(24,−19)?
Click here to see answer by math_helper(2461)

Question 1109032: A family of lines have equation of the form x/a - y/12 = 4. Find the value of a if the gradient is 2.

Click here to see answer by josgarithmetic(39617)

Question 1109069: y={5}{3}x-9y

Click here to see answer by ikleyn(52781)

Question 1109377: Why is y=x^2�3 is undefined for X= -1
Click here to see answer by Alan3354(69443)

Question 1109400: How do you graph
y> -3 ?
Click here to see answer by math_helper(2461)

Question 1109406: How would you graph the following?
2x+3y <18
3x-y =/< 6
y =/> 0
x=/> 0
Click here to see answer by MathLover1(20849)

Question 1109418: 4X minus 2Y equals -8
Click here to see answer by stanbon(75887)

Question 1109474: x + y = -1
Click here to see answer by Alan3354(69443)

Question 1109473: 10x - 3y = 15
Click here to see answer by Alan3354(69443)

Question 1109471: y = 0
Click here to see answer by Alan3354(69443)

Question 1109470: 3x + 5y = -5
Click here to see answer by Alan3354(69443)

Question 1109468: 7x + y = 5
Click here to see answer by Alan3354(69443)

Question 1109503: Solve and Graph:
2x -y =/< 2
-3x - y =/< 5
-2 =/< x
so far what I have gotten is:
2(-2) - y =/<2
-4-y =/< 2
-y = 2+4
-y = 6
y = -6
SO xy intercepts are (-2, -6)?
and
-3x - y =/<5
-3(-2) - y =/< 5
-6- y=/<5
-y =/< 5 +(-6)
-y = -1
y = 1
So xy intercepts are (-2, 1)?
am I missing any steps?

Click here to see answer by KMST(5328)

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, 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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, 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