Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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Question 1101048: For the line going through (3,-1) and (-2,4) write the equation in point-slope form, convert to slope-intercept form and find the x-intercept and y-intercept.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1101049: what is the equation of the function which has a graph that is the reflection across the x-axis of the graph of f(x)=x^2+2x-5 ?
Click here to see answer by ikleyn(52794)

Question 1101014: Solve the following compound inequality and show the solution on a number line and in interval notation 3x-1<=-5 or 2x -1>=13t
Click here to see answer by ikleyn(52794)

Question 1101119: For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive direction of the x-axis.
Click here to see answer by Alan3354(69443)

Question 1101118: Find the equation of the line both in point-slope & slope-intercept form going through the point (3,-2) and parallel to the line with the equation -2y=6x-3
Click here to see answer by Alan3354(69443)

Question 1101117: Solve the following compound inequality and show the solution on a number line and in interval notation 3x-1<=-5 or 2x -1>=13
Click here to see answer by josgarithmetic(39618)

Question 1101132: Find the equation of the line both in point-slope and slope-intercept form going through the point (3,-2) and parallel to the line with the equation -2y=6x-3
Click here to see answer by josgarithmetic(39618)

Question 1101131: Find the equation of the line both in point-slope and slope-intercept form going through the point (3,-5) and perpendicular to the line with the equation y=3x
Click here to see answer by josgarithmetic(39618)

Question 1101130: For the equation of the line both in point-slope and slope-intercept form going through the point (3,-2) and parallel to the line with the equation -2y=6x-3
Click here to see answer by ankor@dixie-net.com(22740)

Question 1101236: make x the subject of the formula
1. x/x+a - a/x+b = 1
2. x^2/a^2 + y^2/b^2 = 1
3. a(a^2- x) = b(b^2 - x)
4. a/a-x = b/b+x
Click here to see answer by ankor@dixie-net.com(22740)

Question 29439: x^2+x<12
Click here to see answer by amalm06(224)

Question 29439: x^2+x<12
Click here to see answer by ikleyn(52794)

Question 1101636: ; x is greater than or equal to zero
Why is this a one-to-one function?
Click here to see answer by stanbon(75887)

Question 1101857: If f(x) =(10x-6)/7, then what is the value for x when f(x)=2/3
Click here to see answer by josgarithmetic(39618)

Question 1102051: How many values of x satisfy the equation f(x)=(-3.5)?
Click here to see answer by ikleyn(52794)

Question 1101988: Can someone help me? Thank you.
I need to make it clear about the hyperbola. X^2-y^2=1 is transformed T(x,y)=(ax+h, by+k). How do I write the equation after transformation?
Click here to see answer by Theo(13342)

Question 1102160: The question is:
If the function f(x) has the lowest possible degree then the multiplicity of the zero at 1 is____?
I thought the lowest degree would be degree zero so that the function would be a straight horizontal line y=some number. The answer is a multiplicity of 2. I don't understand.
Thanks
Click here to see answer by greenestamps(13200)

Question 1102159: The question is:
If the function f(x) has the lowest possible degree then the multiplicity of the zero at 1 is____?
I thought the lowest degree would be degree zero so that the function would be a straight horizontal line y=some number. The answer is a multiplicity of 2. I don't understand.
Thanks
Click here to see answer by greenestamps(13200)

Question 1102386: Given that the profit function of Lim Enterprises is given as: f(x) = 750,000 - 3500X + 5500X, what is the value of f(155)
Click here to see answer by richwmiller(17219)

Question 1102386: Given that the profit function of Lim Enterprises is given as: f(x) = 750,000 - 3500X + 5500X, what is the value of f(155)
Click here to see answer by josgarithmetic(39618)

Question 1102403: Given the function f(x)= 5|x-6|, calculate the following values:
1. f(x+1)
2. f(x^2+2)
Click here to see answer by josgarithmetic(39618)

Question 1102442: Given the function P(x)= 4x^2+7x-7. Calculate the following values:
1. P(x+1)
2. P(-x)
Click here to see answer by josgarithmetic(39618)

Question 1102484: You and your friends go to a restaurant that has mints in a bowl. As you leave you grab one third of the mints from the bowl. After that your friend Ashely takes 7 mints .Hillary then takes twice as many minutes as Ashley did. There are now nine minutes left in the bowl. How many were there before you and your friend took them
Click here to see answer by Boreal(15235)

Question 1102499: f(x) = 3 over x to the third power - 1
Click here to see answer by ikleyn(52794)

Question 1102629: (m-n)-(m+n)
Click here to see answer by Alan3354(69443)

Question 1102668: Find f(x-5) if f(x)=-4x+4
Click here to see answer by Alan3354(69443)

Question 1102763: 5. Let logc3=p and logc5=q. Find an expression in terms of p and q for
(i) logc15
(ii) logc25

Click here to see answer by josgarithmetic(39618)

Question 1102762: is the following a function:
x = y^2
Click here to see answer by Boreal(15235)

Question 1102761: is the following a function:
y = 5x^2
Click here to see answer by Boreal(15235)

Question 1102750: 2. Solve the following equations, giving exact values if possible.
a. 9^x-1 = (1/3)^2x
b. ln(x+2)=3
c. log27(x)=1-log27(x-0.4)
d. logb6=1/2
Click here to see answer by Fombitz(32388)

Question 1102754: 3. Initially a tank contains 10,000 liters of liquid. At the time t=0 minutes a tap is opened, and liquid then flows out of the tank. The volume of liquid, V liters, which remains in the tank after t minutes is given by V=10,000(0.933)^t.
a. Find out how much liquid is in the tank after 5 minutes.
b. Find out how long, to the nearest second, it takes for half of the initial amount of liquid to flow out of the tank.
c. The tank is regarded as effectively empty when 95% of the liquid has flowed out. Show that this takes almost three-quarters of an hour.
d. (i) Find the value of 10,000 - V when t=0.001 minutes.
(ii) Hence, or otherwise, estimate the initial flow rate of the liquid.
Give your answer in liters per minute, correct to two significant figures.

Click here to see answer by Alan3354(69443)

Question 1102759: 4. $1000 is invested at 0.025% per annum interest, compounded quarterly.
a. Calculate the value of the investment at the end of 12 years.
b. Calculate the minimum number of years required for the value of the investment to exceed $10,000.

Click here to see answer by Boreal(15235)

Question 1102749: 1. The function f(x) and g(x) are defined by f(x)=2^x and g(x)= log2(1-2x)
a. Write down f^-1(x).
b. (i). Find and simplify (f�g)(x)
(ii) Find and simplify (f�g)^-1(x)
c. (i) Write down the domain of g(x).
(ii) write down the domain of (f�g)(x)

Click here to see answer by solver91311(24713)

Question 1102914: For the function y = -3x, is the ordered pair (1, -3) a solution?

Click here to see answer by josgarithmetic(39618)

Question 1102867: Simplify the following expressions completely.
logb square root of b
9^log3n
Click here to see answer by Alan3354(69443)

Question 1103019: Can someone help me complete the table for the following function.
f(x)=x^2
thank you.
Click here to see answer by Alan3354(69443)

Question 1103141: A helicopter is descending at a constant rate. In the table, t represents the number of minutes since the helicopter began its descent. The helicopter's elevation in feet at time t is represented by f(t). At what rate does the helicopter's elevation change?
t=1,3,6,10
f(t)=6480,5740,4630,3150
A. -370 ft/mi
B. -460 ft/mi
C. -770 ft/mi
D. -245 ft/mi
Click here to see answer by Theo(13342)

Question 1103143: A ferry charges a fare for each person in a vehicle. There is also a fare for the vehicle itself. The total fare for a vehicle with n people is represented by f(n) in the table. How much does the ferry charge per person?
n=1,3,5,8
f(n)= $40,$58,$76,$103
A. $18/person
B. $13/person
C. $5/person
D. $9/person
Click here to see answer by richwmiller(17219)

Question 1103138: A ferry charges a fare for each person in a vehicle. There is also a fare for the vehicle itself. The total fare for a vehicle with n people is represented by f(n) in the table.
Click here to see answer by richwmiller(17219)

Question 1103142: Anoke opened a savings account and deposited some money he received from his grandfather.
Click here to see answer by richwmiller(17219)

Question 1103140: A towing company charges a flat fee to tow a vehicle.
Click here to see answer by richwmiller(17219)

Question 1103139: Mrs. Kantor is draining the water from her pool in order to have it finished. The amount of water in the pool decreases at a constant rate as it is drained. In the table, t represents the number of minutes that the pool has been drained. The total number of gallons of water in the pool at the time t is represented by f(t). At what rate does the amount of water in the pool change?
t= 11, 37, 63, 95
f(t)=24735,24501,24267,23979
A. -16 gal/min
B. -9 gal/min
C. -7 gal/min
D. -4 gal/min
Click here to see answer by Fombitz(32388)

Question 1103186: f(-12) = 5(-12) - 6. My answer is f(-12) = -66
Click here to see answer by Fombitz(32388)

Question 1103170: Let f : A ��> B and g : B ��> C , two bijective functions. Prove that g�f is bijective
Click here to see answer by robertb(5830)

Question 1103035: A is the part of the graph y=x.
B is the part of the graph y=b^x, for b>1.
C is the reflection of the graph B in line A.
Write down
a. The equation of C in the form y=f(x).
b. the coordinates of the point where C cuts the x-axis, in terms of b.
Click here to see answer by robertb(5830)

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