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

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Question 1029040: hi, this is what my paper says to do...

Graph. Specify the coordinates of the vertex and the intercepts.
y=-2x^-8x-5

im very lost and the graph is due tomorrow. please helpp!!
Click here to see answer by Alan3354(69443)

Question 1029175: Find the coordinates of the points of intersection of the line with equation y=kx+1 and the circle with equation x^2+y^2=9
Click here to see answer by Alan3354(69443)

Question 1028805: Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located:
-x^2 - 2x = 1
Click here to see answer by Fombitz(32388)

Question 1029296: Graph the Base/Parent Function (A). Then graph the Transformations (B & C). All three graphs should be on the same set of axes.
(A) y=x�
(B) y=-x�
(C) y=-(x-1)�+4
Click here to see answer by stanbon(75887)

Question 1029302: Y + 2x^2 - 4x - 6 = 0 , how put it in ax + bx + c
Click here to see answer by josgarithmetic(39617)

Question 1029176: For what values of 'k' is the line y=x tangent to the curve with equation y=k/(x-1)
Multi choice:
k=1
k>1
k>-1/4
k=-1/4
4k+1<0
Click here to see answer by robertb(5830)

Question 1029505: how do I graph y=3-|x+5|

Click here to see answer by Alan3354(69443)

Question 1029547: Assume that f(3) = 4. Name a point that must be on the graph of y=f(x)+4
Click here to see answer by richard1234(7193)

Question 1029546: The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.
Click here to see answer by josgarithmetic(39617)

Question 1029545: Find the x-intercept point of the line 3x+5y=20. Provide your answer as an ordered pair. Express the x and y coordinates as common fractions as needed.
Click here to see answer by Fombitz(32388)

Question 1029598: problem solving question
the depth of water d meters, at a port entrance is given by the function
d(t) = 4.5 + 1.5 sin pi t/12
where t is hours
a certain ship needs the depth at the port entrance to be more than 5 meters. The ship can be loaded and unloaded in and out of the port in 9 hours. assuming the the ship enters the port just as the depth at the entrance passes 5 meters, will the ship be able to exit 9 hours later? How long will it have to spare? or by how many minutes will it miss out?

and can you please show me working out and how you got the answer.
Thankyou
Click here to see answer by rothauserc(4718)

Question 1029642: A bouncy ball is thrown vertically upward from the ground, after 2 seconds it attains max height of 120 feet, and after 4 seconds it hits the ground.
On a graph I have my vertex as (2, 120).
I am trying to find the quadratic equation to represent the path of the ball. t is time of ball in air and s is height of ball at time t.
I have figured out the equation to be -16t^2+96t=s, then I plug in to the equation t= (-b � √(b^2-4 (a)(c) ))/2a
My answers are sorta making sense in relation to my graph, but we are asked to give height of ball at 4 seconds & 6 seconds. If ball was already on ground at 4 seconds, why are they asking at 6 too? Not positive I am on the right track.
Thank you!
Click here to see answer by stanbon(75887)

Question 1029566: A driver going down a straight highway is traveling at 70 ft/sec on cruise control when he begins accelerating at a rate of 4.2ft/sec squared. The final velocity of the car is given by the function V(t)=21/5t + 70, where V(t) is the velocity at time t. Determine the velocity of the car after 10.4 seconds and interpret the meaning of the slope and y-intercept in this context.
Click here to see answer by fractalier(6550)

Question 1029697: What is the y-intercept of f(x)=3^x-1+2
0,-1
0,7/3
0,5
0,3
None
Click here to see answer by fractalier(6550)

Question 1029732: help, i need to solve y=2^x. I need 4 solutions
Click here to see answer by josgarithmetic(39617)

Question 1029822: The point C(x,y) is reflected over the x-axis. Use arrow notation to describe the original point and its reflection.
Click here to see answer by Fombitz(32388)

Question 1029830: Use integer values of x from -3 to 3 to graph the equation y=1/3 |x| -2
Click here to see answer by Fombitz(32388)

Question 1029907: What is the shortest distance between the circles defined by x^2-10x +y^2-4y-7=0 and x^2+14x +y^2+6y+49=0?

Click here to see answer by robertb(5830)

Question 1029905: Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x - 2y = 10.
Give your answer as a list of points separated by semicolons, with the points ordered such that their x-coordinates are in increasing order. (So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.)

Click here to see answer by robertb(5830)

Question 1029966: Find the equation of the line of best fit.
Graph: http://i.imgur.com/wq6ox9m.png
Multiple selection:
A. y = 1.92x + 165
B. y = -0.6x + 93
C. y = 0.6x + 165
D. y = -1.8x + 93
thanks for your help
Click here to see answer by solver91311(24713)

Question 1030070: For following equation find the x-intercept.
y=4x^2+5
Click here to see answer by rothauserc(4718)

Question 1030083: Express the values of x that satisfy the inequality -3 <= x < 7$ as an interval.
Thank you!
Click here to see answer by richard1234(7193)

Question 1030084: For how many integers b does the inequality z^2 + bz + 15 < 0 have no real solutions z?
Click here to see answer by richard1234(7193)

Question 1030082: Find all x such that x^2+5x<6. Express your answer in interval notation.

Click here to see answer by josgarithmetic(39617)

Question 1030082: Find all x such that x^2+5x<6. Express your answer in interval notation.

Click here to see answer by MathTherapy(10552)

Question 1030078: Which equation for a line would be perpendicular to the line on a graph that is represented by the following equation.
2x+7y=21
Click here to see answer by josgarithmetic(39617)

Question 1030076: What is the standard form of the equation of a circle represented by the following equation?
x^2+y^2+4x-2y-11=0
Click here to see answer by Boreal(15235)

Question 1030090: Find all values of s such that (s + 4)(s - 3) <= 0. Give your answer as an interval.
Click here to see answer by MathLover1(20849)

Question 1030089: Express the values of x that satisfy the inequality -3 <= x < 7 as an interval.

Click here to see answer by stanbon(75887)

Question 1030079: n which quadrant on a graph does the center of a circle described by the following equation.
\left(x+7\right)^2+\left(y+4\right)^2=58(x+7)2+(y+4)2=58
Click here to see answer by stanbon(75887)

Question 1030088: Find all values of c such that $c^3 + 4c > 5c^2. Answer with interval notation.
Click here to see answer by josgarithmetic(39617)

Question 1030088: Find all values of c such that $c^3 + 4c > 5c^2. Answer with interval notation.
Click here to see answer by MathTherapy(10552)

Question 1029908: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?

Click here to see answer by robertb(5830)

Question 1030027: Please HELP with homework problem!!
A dietitian designs a special dietary supplement using two different foods. Each ounce of food X contains 12 units of calcium, 10 units of iron, and 20 units of vitamin B. Each ounce of food Y contains 15 units of calcium, 20 units of iron and 12 units of vitamin B. The minimum daily requirements of the diet are 300 units of calcium, 280 units of iron, and 300 units of vitamin B.
a) Write a system of inequalities describing the different amounts of food X and food Y that can be used.
b) Sketch a graph of the region in part (a)
c) Find two solutions to the system and interpret their meanings in the context of the problem.
Click here to see answer by Theo(13342)

Question 1030255: find the perimeter of a rectangle with L 5 cm and 4cm
Click here to see answer by Cromlix(4381)

Question 1030356: y=x+1/x�+6x+5
Find all discontinuities.
Tell which discontinuities are holes and which are verticle asymptotes.
Find all intercepts. Give them in point form.
Fill in a t-chart to find at least 4 or more points, use all information obtained to sketch a graph.
Click here to see answer by stanbon(75887)

Question 1030431: Hello, I have a confusing question that I have been trying really hard to understand. You see, its a table. It goes like this:
School Year /x /Cost /Increase
2000-2001 / 0 /$10,820/ ?
2001-2002 / 1 / $11,380/ ?
I'm having trouble finding the increase in tuition. The problem goes "Calculate the increase over the previous year for each school year and put the value in the table. Then it asks to write an equation. I've tried doing y=mx+b or adding the first set of years, multiplying by 0 and adding the cost to find increase. But I doubt that I did it correctly
Your help would be greatly appreciated and I'd be so grateful to have an understanding of the math! Thank you so much!
Click here to see answer by stanbon(75887)

Question 1030077: What is the General form of the equation of a circle represented by the following equation?
\left(x-3\right)^2+\left(y+4\right)^2=49
Click here to see answer by Fombitz(32388)

Question 1030462: F(2x)=2x+3x-1
Click here to see answer by Fombitz(32388)

Question 1030496: graph by using the slope and y-intercept. (Graph the y-intercept first and then the line.) 4x - 3y = 12
Click here to see answer by josgarithmetic(39617)

Question 1030495: graph by using the slope and y-intercept. (Graph the y-intercept first and then the line.) y = -4x - 3
Click here to see answer by stanbon(75887)

Question 1030517: I have to graph y = -x + 3 for slope and y-intercept. I can't seem to find the right way to graph it. Could you help me on this question?
Click here to see answer by KMST(5328)

Question 1030620: hey i want to know how to solve and graph this equation y+x=-5
i did the problem on my own but i'm not sure if my answer is correct
Click here to see answer by Boreal(15235)

Question 1030492: graph the solution set. y > -5
Click here to see answer by mananth(16946)

Question 1030651: Which of the following points is on the graph of f?
f(x)=(4/3)^x
2,9/16
-2,1/2
2,3/4
-2,16/9
-2,9/16
None
Click here to see answer by fractalier(6550)

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