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

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Question 624054: how to graph this function
x^2+y^4=1

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

Question 624200: Would you pls help me with this problem?
There are 52 white keys & 36 black keys on a standard piano. What is the probability that if a person did not look & hit the keyboard twice that she would first hit a white key & then a black key?
Pls, send me the steps because I want to be able to solve other similar exercises.
(This is the 2nd time that I am submitting this problem without receiving any answer, could anyone help pls.)
Thanks a lot


Click here to see answer by ewatrrr(24785) About Me 

Question 624484: write the equation of the line with slope = 4/5 and containing the point (3,7)
Click here to see answer by ewatrrr(24785) About Me 

Question 624520: find the slope of the line 2x=y
Click here to see answer by ewatrrr(24785) About Me 

Question 624488: solve the system of equations and give the value of x.
y= -3x+13
2x+9y=-8

Click here to see answer by jim_thompson5910(35256) About Me 

Question 624540: x≥-2
on a graph

Click here to see answer by jim_thompson5910(35256) About Me 

Question 624469: Write an equation of the line in slope-intercept form given the
slope is -5 and the y-intercept is 7.

Click here to see answer by rfer(16322) About Me 

Question 624515: Find the vertex, line of symmetry, min or max and graph. F(x)-1/2(x+6)^2+2
Click here to see answer by lwsshak3(11628) About Me 

Question 624587: I don't think this is the subject but I couldn't find relations and functions.
My question is
Beginning with the graph of the function y=x^2, which of the following shows the changes you would make to the function so that the vertex lies at (-1,1) and he parabola opens in a negative direction?
a) y=-(x+1)^2+1
b) y=(x+1)^2+1
c) y=(x+1)^2
d) y=-(x-1)^2+1
e) none

Click here to see answer by oscargut(2103) About Me 

Question 624605: Solve these equations using the addition property.
2x + y = -2
x + y = 5
The lines intersect at (?,?)

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

Question 624607: Solve these equations using the addition property.
5x + y = 6
5x + 3y = -4
The lines intersect at (?,?)

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

Question 624606: Solve these equations using the addition property.
3x - 4y = 7
3x + 2y = -5
The lines intersect at (?,?)

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

Question 624608: Solve these equations using the addition property.
x + y = k
x - y = k
The lines intersect at

Click here to see answer by Alan3354(69443) About Me 
Question 624608: Solve these equations using the addition property.
x + y = k
x - y = k
The lines intersect at

Click here to see answer by jim_thompson5910(35256) About Me 

Question 624528: Graph the following parabolas:
y= 100- x^2
and
y= x^2 - 6x
Thank you!! :)

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

Question 624717: The perimeter of a triangle with 2 equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all 3 sides would be equal. Find the length of the base of the original triangle.
Click here to see answer by ewatrrr(24785) About Me 

Question 624730: When the cost of a car is multiplied by 0.04 the result is $1720. Find the cost of the car
Click here to see answer by rfer(16322) About Me 

Question 624716: A merchant has coffee worth $60 a pound that she wishes to mix with 70 pounds of coffee worth $90 a pound to get a mixture that is worth $70 a pound. How many pounds of the $60 coffee should be used?
Click here to see answer by Maths68(1474) About Me 

Question 624754: H(x)sqrt x+3

Click here to see answer by ewatrrr(24785) About Me 

Question 624772: y=9 Find the slope.
Click here to see answer by solver91311(24713) About Me 

Question 624731: How do you rewrite the expression using distributive property
(6a + 6)I need to make that 6squared by 8

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

Question 624718: The speed of a stream is 4 mph. If a boat travels 46 miles downstream in the same time that it takes to travel 23 miles upstream, what is the speed of the boat in still water?
Click here to see answer by Alan3354(69443) About Me 

Question 624911: Find the slope containing the points (9, 3) and (4, 2)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624910: Using the point-slope equation, find the equation containing (2, -3) and slope m = 5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624909: Find the slope containing the points (7, 2) and (3, 5)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624913: Find the slope containing the points (-2, 5) and (1, 7)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 624928: Solve the system of linear equations by graphing.
4x-y=0
2x-y=-2

Click here to see answer by ewatrrr(24785) About Me 

Question 624940: Graph the inequality y < 3x + 1
Click here to see answer by jim_thompson5910(35256) About Me 

Question 625011: Use the graph of y = e^x to evaluate e^1.7 to four decimal places.
A. 5.4739

B. 4.6211

C. 2.7183

D. 0.1827

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

Question 625020: slope=-3; y intercept=7
write in the Ax=By=C,A form

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

Question 625021: slope=4;y intercept=-10
write in Ax+By=C,A form

Click here to see answer by jim_thompson5910(35256) About Me 
Question 625021: slope=4;y intercept=-10
write in Ax+By=C,A form

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

Question 624996: Solve the compound inequality. Graph the solution set and give the solution in interval notation.
x ≤ 1 or x ≥ -3

Click here to see answer by lwsshak3(11628) About Me 

Question 625024: write the equation of the line that contains the indicated point(s), and/or has the given slope or intercepts; use either slope intercept form y=mx+b ir form x=c
(0,4);m=-3

Click here to see answer by lwsshak3(11628) About Me 

Question 625035: Write the equation in exponential form.
log4 1/16 = -2

Click here to see answer by nerdybill(7384) About Me 

Question 625027: find the slope intercept form for the line satisfying the following conditions
x intercept 2,y intercept 2 over 3.

Click here to see answer by oscargut(2103) About Me 
Question 625027: find the slope intercept form for the line satisfying the following conditions
x intercept 2,y intercept 2 over 3.

Click here to see answer by MathTherapy(10551) About Me 

Question 625235: I have a few questions.
1. Subtract and express in simplest form ; (1/(x^2-x-6))-(1/(x^2-9))
The answer I got was (5/(x-3)(x+3)(x+2) is that correct?
2. a. Determine the length of AB. A (-8,2) B(5,-8).... my answer was sprt(269)
b. Determine the midpoint of line segmaent AB.... ((-3/2,-3) is what I got
c. Find the equation of a circle whose diameter is line segment AB
(x+3/2)^2+(y+3)^2=67.25 was what I got
d. What is the radius and the center of the circle. radius... 8.20 and center (-3/2,-3)
Are these answers correct.

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

Question 625378: Select an ordered pair from the choices below that is a solution to the following system of inequalities:
10y > -20
9 > 3x

Click here to see answer by math-vortex(648) About Me 

Question 625416: Please help, I am completely lost!


1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day 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? How do you know?

i. What do the solutions 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 Edwin McCravy(20054) About Me 
Question 625416: Please help, I am completely lost!


1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day 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? How do you know?

i. What do the solutions 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 EdwinParker(16) About Me 

Question 625439: Graph the line
y=1/4x+4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 625463: |2x+3| is greater than or equal to 9
Click here to see answer by jim_thompson5910(35256) About Me 

Question 625600: consider the relation given by the table
x:1 2 3 5 3 4
y:4 5 7 9 2 2
(a) is this a relation function?
(b) what is the domain?
(c) what is the range?

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

Question 625671: Please Help!!
Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
tickets = -0.3x^2+6x+22

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c.Use the quadratic equation to determine the last day that tickets will be sold.

Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day 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? How do you know?

i. What do the solutions 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 solver91311(24713) 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