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

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Question 1178301: Solve this number line; -5 and -2 which is greater and why
Click here to see answer by Solver92311(821)

Question 1178347: 7. The path of a baseball after it is hit is modelled by the equation h=-4.98t^2+12.51t+1.36, where h is the height, in metres, of the ball and t is the time, in seconds, after the ball is hit.
a. Find the maximum height that the ball reaches, to the nearest hundredth of a metre.
b. Determine the height of the ball, to the nearest hundredth of a metre, at 2.5 seconds.
c. Determine when the ball is at a height of 8m, to the nearest hundredth of a second. (2 marks)
d. State the y-intercept of the graph to the nearest hundredth. Describe what the y-intercept represents in the context of this question.
e.i. Find the coordinates of both x-intercepts of the graph to the nearest hundredth.
ii. State what the positive x-intercept represents in the context of this problem.
iii. Explain why the negative x-intercept is not valid in the context of this problem.

Click here to see answer by MathLover1(20849)

Question 1178359: Solve y=1/x and x^2+y^2=2 simultaneously.
Begin by subtracting the equation of the hyperbola from the equation of the circle.
Click here to see answer by math_helper(2461)

Question 1178359: Solve y=1/x and x^2+y^2=2 simultaneously.
Begin by subtracting the equation of the hyperbola from the equation of the circle.
Click here to see answer by ikleyn(52778)

Question 1178346: Each year, a baseball team sells boxes of chocolates as a fundraiser to lower the cost of team fees. The price of the chocolates and the number of boxes sold varies each year. The information from five years of sales is given in the table below.
Price per box ($)= 3.00/4.00/5.50/6.50/8.00
Boxes sold= 5303/3360/1777/1316/1019
a. Find the regression equation in the form y=ax^3+bx^2+cx+d that best approximates the data. Express the values of a, b, c, and d to the nearest hundredth.
b. Use the equation to find the number of boxes, to the nearest whole number, that the team will sell if they charge $4.35 per box.
c. One year, the team only sold 125 boxes of chocolates. What price did they charge for each box?
d. If the team raises the price too high, they will not sell any boxes. Use your regression equation to predict the price of a box that will result in zero boxes sold.

Click here to see answer by MathLover1(20849)

Question 1178468: 2x + 10y > 18

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Question 1178544: Triangle ABC is reflected across line m to form ΔXYZ. Identify the coordinates of the vertices of ΔXYZ.
Click here to see answer by ikleyn(52778)

Question 1178555: f(x) = -7 (x - 8)2 + 10
find vertex

Click here to see answer by MathLover1(20849)

Question 1178746: Are 2y=6x+3 parallel to y=3x+5
Click here to see answer by josgarithmetic(39617)

Question 1178954: https://gyazo.com/971e46f01b9b1bf1d971e425ebcd81b7
Click here to see answer by ikleyn(52778)

Question 1178983: Solve the following inequality
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Question 1179013: https://gyazo.com/971e46f01b9b1bf1d971e425ebcd81b7
I need help with this please
Click here to see answer by MathLover1(20849)

Question 1179022: Felix is selling hats and T-shirts to raise money to pay for his summer camp registration, and he will use any additional money he raises as spending money while at camp. He plans to sell each hat for $8 and each T-shirt for $12. In order to pay for his summer camp registration, Felix must raise at least $288, and he wants to sell at least 32 hats and T-shirts altogether.
Let h represent the number of hats Felix sells, and let t represent the number of T-shirts he sells.
One of the graphs below shows the system of inequalities that represents this situation, with it's solution region shaded in.
Click here to see answer by ikleyn(52778)

Question 1179036: Graph each equation:
y = 2x + 3
y = -3x -4
Thank you
Click here to see answer by ikleyn(52778)

Question 1179036: Graph each equation:
y = 2x + 3
y = -3x -4
Thank you
Click here to see answer by MathLover1(20849)

Question 1179036: Graph each equation:
y = 2x + 3
y = -3x -4
Thank you
Click here to see answer by mananth(16946)

Question 1179090: How to transform 5x-2y=6 into slope-intercept form
Click here to see answer by MathLover1(20849)

Question 1179089: How to graph y-4=3(x+2)
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Question 1179213: write an equation of that passes through the points through the points (-2,-3) and (2,5). Give your answer in slope-intercept form.
Click here to see answer by josgarithmetic(39617)

Question 1179381: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 4 sleeping bags, and 5 camp stools for $258. The price of the tent is 8 times the cost of a camp stool. The cost of a sleeping bag is $39 more than the cost of a camp stool. Find the cost of each item.
a) $48 for a tent; $50 for a sleeping bag; $11 for a camp stool
b) $56 for a tent; $45 for a sleeping bag; $7 for a camp stool
c) $48 for a tent; $45 for a sleeping bag; $7 for a camp stool
d) $48 for a tent; $45 for a sleeping bag; $6 for a camp stool

Click here to see answer by josgarithmetic(39617)

Question 1179424: Graph the line with the slope -3 passing through the point (-1,5)
Click here to see answer by Alan3354(69443)

Question 1179424: Graph the line with the slope -3 passing through the point (-1,5)
Click here to see answer by MathLover1(20849)

Question 1179457: Write the standard form of the equation of the circle with the given center and radius.
(0,5); Square Root 6
Click here to see answer by Edwin McCravy(20054)

Question 1179459: Write the standard form of the equation of the circle with the given center and radius.
(0,0); Square Root 6
Click here to see answer by josgarithmetic(39617)

Question 1179456: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + 18x + 81 + y2 - 8y + 16 = 81

Click here to see answer by josgarithmetic(39617)

Question 1179455: Graph the equation.
(x - 2)2 + (y - 3)2 = 4
Click here to see answer by josgarithmetic(39617)

Question 1179453: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + y2 - 6x + 6y + 7 = 0
Click here to see answer by josgarithmetic(39617)

Question 1179451: Find the center and the radius of the circle.
(x - 4)2 + (y + 3)2 = 64
Click here to see answer by josgarithmetic(39617)

Question 1179449: Write the standard form of the equation of the circle with the given center and radius.
(6, 5); 6
Click here to see answer by josgarithmetic(39617)

Question 1179452: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + y2 + 6x + 4y = 3
Click here to see answer by josgarithmetic(39617)

Question 1179452: Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x2 + y2 + 6x + 4y = 3
Click here to see answer by Edwin McCravy(20054)

Question 1179454: Graph the equation.
x2 + y2 + 10x + 8y + 37 = 0

Click here to see answer by josgarithmetic(39617)

Question 1179450: Write the standard form of the equation of the circle with the given center and radius.
(0, -5); 11
Click here to see answer by MathLover1(20849)

Question 1179516: Write the standard form of the equation of the circle with the given center and radius.
(0, 0); 3

Click here to see answer by ewatrrr(24785)

Question 1179515: Write the standard form of the equation of the circle with the given center and radius.
(5, 0); 4
Click here to see answer by ewatrrr(24785)

Question 1179580: Find two numbers whose sum is 16 and whose product is a maximum.
Click here to see answer by greenestamps(13198)

Question 1179580: Find two numbers whose sum is 16 and whose product is a maximum.
Click here to see answer by josgarithmetic(39617)

Question 1179723: find the equation of the line in slope-intercept form that goes through the point (-9,9) and is parallel to y=-3
Click here to see answer by ikleyn(52778)

Question 1179769: https://gyazo.com/6cca872e14f76df34ecefd2f460c3032
Click here to see answer by MathLover1(20849)

Question 1179807: A line goes through the two points (2, - 9) and ( - 1 , 15)
a. What is the slope of the line?
b. What is the formula for the line?
c. what is the x-intercept?
d. What is the y-intercept?
Click here to see answer by josgarithmetic(39617)

Question 1179837: Find the equation of the circle that passes through the point P(5, 2) and whose center is the point C(3, 4). Then sketch its graph.
Click here to see answer by ikleyn(52778)

Question 1179890: Sketch the graph of f(x)= x−−√ and g(x) = −−x+4−−−−−−√−2. Be sure to include at least 3 points of each graph.
Click here to see answer by ikleyn(52778)

Question 1179951: Sketch the graph of f(x)= √x and g(x) = -√−x+4-2. Be sure to include at least 3 points of each graph.
Click here to see answer by ikleyn(52778)

Question 1179891: A. Draw it's inverse on the same grid.
B. Is the inverse a function?
C. State the domain and range of the inverse.
https://docs.google.com/document/d/11iXhWdXV8jWFf3pFUwe54zve1UDKZJgwJimUK0JoJ6Y/edit?usp=sharing
Click here to see answer by ikleyn(52778)

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