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

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Question 275934: Give the slope-intercept form of the equation for the line on which these two points lie: (4, -2) and (3, 8)
Click here to see answer by jim_thompson5910(35256)

Question 276017: A car rents for $35 per day plus 30 cents per mile. You are on a daily budget of $75. What mileage will allow you to stay within your budget? The solution is {m|m is less than or equal to __}.
Click here to see answer by stanbon(75887)

Question 276014: Write an equation of the line with the given slope, m, and y-intercept (0,b).
m=-3/2, b=8
Click here to see answer by Edwin McCravy(20054)

Question 276013: Find an equation of the line through the pair of points. Write the equation in the form Ax + By = C. (8,-6) and (4, -3)
Click here to see answer by stanbon(75887)

Question 276020: Celine's financial aid stipulates that her tuition not exceed $1700. If her college charges a $135 registration fee plus $550 per course, what is the greatest number of courses for which Celine can register? Celine can register for at most ________ courses.
Click here to see answer by nerdybill(7384)

Question 276136: Hello, can you please help me with this question? It has two parts (a and b). Thank you in advance for any help you can offer!
a) Solve by graphing:
y= x+4
y= -2x+1
b) Tell what you can about the solution.
Click here to see answer by solver91311(24713)

Question 276158: Write an equation of a line connecting the given points in slope-intercept form
(-3,1), (3, -1)

Click here to see answer by rfer(16322)

Question 276193: y=x-3 ? What is it ?
Click here to see answer by Alan3354(69443)

Question 276195:
Click here to see answer by Alan3354(69443)

Question 276221: A graph is completely shaded below the line of y=x-4, but the line is dashed. Which of the points below are solutions to the inequality that is being graphed? a. (0,-4) b. (4,-8) c. (4,0) d. (8,4)

Click here to see answer by solver91311(24713)

Question 276119: DECIDE IF THE GRAPH OF THE SYSTEM IS A PAIR OF PARALLEL LINES, INTESECTING LINES, OR ONE LINE.
X+6Y=24
6X-5Y=21
Click here to see answer by scott8148(6628)

Question 276364: Find all the solutions of the system.
3x-y=2
-3x+y+-2
Click here to see answer by Alan3354(69443)

Question 276409: If the graph of f is decreasin on [0,infinity)the what can be said about the graph of y=f(-x)+1? The graph of y=-f(x)-1?
Click here to see answer by stanbon(75887)

Question 276524: How would you graph y= -3
Click here to see answer by checkley77(12844)

Question 276494: PLEASE HELP! SOLVE BY ADDITION METHOD. 3X-Y=11 AND 2X +5Y=13
Click here to see answer by bamigbe20(3)

Question 276525: How would you graph 1/2x + 2/3y = 1
Click here to see answer by Alan3354(69443)

Question 276528: How do you graph y = -3. Show graph and equation please
Click here to see answer by Alan3354(69443)

Question 276522: A metal stays at Fahrenheit temperature below 1801.5 degrees. Determine ( in terms of an inequality) those Celsius temperatures for which the metal stays solid. Use the formula F=9/5C+32. The solution set is {C|C<___}. (Round to the nearest tenth.)
Here is what I have so far: (9/5)C+32=1801.5 (9/5)C=1801.5-32 5/9(9/5)C=1769.5 C=983.05 Is this correct? {C|C<983.05} Is this correct?
Click here to see answer by stanbon(75887)

Question 276582: Suppose that f(x)=log3(x-1).
a) State the domain and range of f.
b) Find a formula for f^-1.
c) Sketch the graph of f and f^-1. Label all important points and asymptotes.
I got...
a) domain is x must be greater than or equal to 1 because you can't have negative numbers when it comes to log. DON'T KNOW WHAT THE RANGE IS..?
b) log3(x-1)=y
3^y=x-1
3^y+1=x
3^x+1=y
c) NOT SURE HOW TO SKETCH THE GRAPH.
PLEASE HELP ME FIND THE RANGE AND SKETCH THE GRAPH, I NEED HELP ASAP PLEASE!!
MUCH APPRECIATED!!
Click here to see answer by solver91311(24713)

Question 276638: USE THE GIVEN CONDITIONS TO WRITE AN EQUATION FOR EACH LINE IN POINT-SLOPE FORM, AND SLOPE-INTERCEPT FORM.
PASSING THROUGH (5,-9) AND PERPENDICULAR TO THE LINE WHOSE EQUATION IS X+7Y=12
Click here to see answer by solver91311(24713)

Question 276384: PLEASE HELP. A store received two shipments of clothing. the cost of the first shipment, which contains 10 sweaters and 20 jackets was $800 . the cost of the second shipment, which contains 5 sweaters and 15 jackets, was $550. find the cost of one sweater and the cost of one jacket.
Click here to see answer by ankor@dixie-net.com(22740)

Question 276736: Doreen and Irene plan to leave their houses at the same time and roller blade towards each other to meet for lunch after 4 hours on the road. Doreen can maintain a speed of 7 miles per hour which is 70% of Irenes speed. If they meet as planned what is the distance between houses?
Click here to see answer by checkley77(12844)

Question 276734: The sum of two numbers is 2. Five times the first number equals two times the second number. Find the two numbers.
Click here to see answer by nyc_function(2741)

Question 276745: Fred wants to prepare a snack mix comprised of peanuts and dried fruit. Peanuts cost $5 a pound and dried fruit costs $7 a pound. Fred wants to spend exactly $45 and prepare 8 pounds of his snack mix. How many pounds of peanuts should fred purchase, and how many pounds of dried fruit should Fred purchase?
Click here to see answer by checkley77(12844)

Question 277031: Your business' fixed costs are $3,000/month. Your direct costs are $.50/widget. So, your cost equation is y=$.50x + 3000. If you sell your widgets for $2/widget, your revenue equation is y=$2x. For your business, graph your costs & revenues, and label your break-even point in terms of number of widgets and dollars.
Click here to see answer by Theo(13342)

Question 276790: a caterer charges a fixed cost for each person served. you know the cost for 100 will be $750 and the cost for 150 will be $1050. fins the caterers fixed cost and the cost per student served.
Click here to see answer by ankor@dixie-net.com(22740)

Question 277153: In the united states starting in 1996 the graph shows the trend through the year 2000 therefore x=0 represents the year 1996 and x=4 is 2000. List the coordinates of any two points on the graph in (x,y) form. Show how you did.
Click here to see answer by solver91311(24713)

Question 277162: how do i solve a the problem 5/3(6)+8 what is the answer and is it a negative

Click here to see answer by jim_thompson5910(35256)

Question 277186: please help show my son how to create a graph from the following functions. y=x+5

thank you.
Click here to see answer by Alan3354(69443)

Question 277186: please help show my son how to create a graph from the following functions. y=x+5

thank you.
Click here to see answer by Edwin McCravy(20054)

Question 277205: How To Solve The Equation y= -x +8
x+y=7
Click here to see answer by checkley77(12844)

Question 277264: What is slope of (2,3) and (-3,0).

Click here to see answer by jim_thompson5910(35256)

Question 277423: p(t) = 4t - 5; find p(t-2)
Click here to see answer by asuar010(338)

Question 277502: graph:y=1/5x-7 and y<-x-3
Click here to see answer by stanbon(75887)

Question 277570: Hello, can you possibly help me with this one? Find the slope-intercept equation of the line that has the given characteristics. Slope 7 and y - intercept (0,5).
Click here to see answer by JBarnum(2146)

Question 277749: Find the x- and y- intercepts
5x+y=15
Click here to see answer by palanisamy(496)

Question 277749: Find the x- and y- intercepts
5x+y=15
Click here to see answer by stanbon(75887)

Question 277795: What is the equation of the line having slope -5/4 and y-intercept 8 in slope-intercept form?
Click here to see answer by edjones(8007)

Question 277779: I need to solve for y and then graph this equation: -8x - 6y = 30
Click here to see answer by edjones(8007)

Question 277820: y=(3/4)x+1
y=-(1/2)x-4
Click here to see answer by checkley77(12844)

Question 277866: 1. (20 points) In 1981, Vadimir Poliakov (USSR) set a world record of 19ft � in for the pole vault (www.polevault.com). To reach that height, Poliakov obtained a speed of approximately 36 feet per second on the runway. The formula h = -16t2 + 36t gives his height t seconds after leaving the ground.
a. Does the graph of this equation open up or down? How did you determine this?
b. Describe what happens to his height as time passes, starting at t=0?
c. Use the method of your choice to find how long he was in the air.
d. Will his height peak or be at a low during the middle of the time he is in the air? How do you know?
e. After how many seconds will the peak or low occur?
f. How high will he be when the peak or low occurs?
g. What is the point of the vertex? How does this number relate to your answers in parts e and f?
h. How many solutions are there to the equation 0 = -16t2 + 36t? How do you know?
i. To use the quadratic formula to solve an equation like this, we need three values, represented in your text by a, b and c. In the equation in part h, what are a, b & c?
j. What do the solutions to 0 = -16t2 + 36t represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by stanbon(75887)

Question 278024: can u please assist me with this question, -4x+y=26, find y intercept
Click here to see answer by richwmiller(17219)

Question 278026: find the y-intercept and the x-intercept 2x=3y=12 Thank you in advance
Click here to see answer by richwmiller(17219)

Question 278153: write an equation of the line that passesw through the given point and is parallel to the given line
(4,7), y=5x-3
Click here to see answer by checkley77(12844)

Question 278145: Please show me how to find the y-intercept in the equation: -8x-7y=21.
Click here to see answer by rfer(16322)

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