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

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Question 62700: The Randolphs used 12 more gal of fuel oil in October
than in September and twice as much oil in November as in September. If they
used 132 gal for the 3 months, how much was used during each month?

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Question 62698: Yuri has a board that is 98 in. long. He wishes to cut the board into two
pieces so that one piece will be 10 in. longer than the other. What should the length
of each piece be?

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Question 62735: If the inventor in Exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function:
P(x) = 2.25x – 7000
a. What is her profit if she sells 2000 units?
b. What is her profit if she sells 5000 units?
c. What is the break-even point for sales?

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Question 62742: help please! Let f(x)=x+2
write the function f(x)= |x+2| as a composition of the functions f and g.

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Question 62686: 3/7x=15
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Question 62682: 12x _ 6 _ 11x
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Question 62684: 5x _ 8 _ 3x _ x _ 5 _ 6x _ 3
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Question 62799: 6x -1 2x = 3
5 3

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Question 62691: _4(2x _ 3)__8x _ 5
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Question 62851: I need some help with this one...can anyone help me out? Thanks!
Directions: Let the function f be defined by y = f(x), where x and f(x) are real numbers. Find f(2), f(-3).
f(x) = 3/x^2+3
Thank you!

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Question 62926: How do you figure out the domain for x=y+1 for x={-2,-1,0,1,2}
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Question 63004: There are 850 Douglas fir and ponderosa pine trees in a
section of forest bought by Sawz Logging Co. The company paid an average of
$300 for each Douglas fir and $225 for each ponderosa pine. If the company paid
$217,500 for the trees, how many of each kind did the company buy?

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Question 63009: Ms. Jordan has been given a loan of $2500 for 1 year. If
the interest charged is $275, what is the interest rate on the loan?

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Question 63008: A chemist has 300 milliliters (mL) of solution that is 18%
acid. How many milliliters of acid are in the solution?

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Question 63007: Paul invested $5000 in a time deposit. What interest will
he earn for 1 year if the interest rate is 6.5%?

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Question 63023: please help me with the following :
Find the distance between (-2,3) and (4,5)

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Question 62993: 2(x - 3) - 3(x + 5) = 3(x - 2) - 7
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Question 62998: The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.

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Question 62999: A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

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Question 63001: Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time
will John catch up with Martina?

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Question 63096: Find the inverse of the function f(x)= 4/x+7, what is the range of f(x)?
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Question 63101: a)determine whether the graph 0f 5x^2 -3y=4 is symmetric with respect to the y axis
b)determine whether the function f(x)= x^4 +x^2+3 is even odd or neither
c)Write an equation for a function that has a graph with the shape of y=square root of x but shifted to the right 7 units and up 4 units
thank you so much

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Question 63095: Given f(x)= 6/x+7 and g(x)= 2/x-1 find (fg)(x) and its domain
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Question 62996: 3x - 5(3x - 7) = 2(x + 9) + 45
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Question 63121: EVALUATE THE FUNCTION WHEN X=2,X=0,X=-2.
g(x)=x+4

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Question 63121: EVALUATE THE FUNCTION WHEN X=2,X=0,X=-2.
g(x)=x+4

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Question 61981: Write the following phrase using symbols.
The quotient of p minus q, divided by 5

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Question 63211: The cost for a long-distance telephone call is $0.36 for the
first minute and $0.21 for each additional minute or portion thereof. Write an
inequality representing the number of minutes a person could talk without
exceeding $3.

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Question 63209: Sam must have an average of 70 or more in his summer course to
obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality
representing the score that Sam must get on the last test to get a C grade.

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Question 63207: 2 times a number, increased by 28, is less than or equal to 6 times that number.
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Question 63205: 7(x - 3) > 5x - 14
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Question 63202: If the total bill at a restaurant, including a 15% tip, is
$65.32, what was the cost of the meal alone?

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Question 63201: If the total bill at a restaurant, including a 15% tip, is
$65.32, what was the cost of the meal alone?

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Question 63350: 3x > 2x – 4
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Question 63347: The electricity costs of a business decreased from $12,000
one year to $10,920 the next. What is the rate of decrease?

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Question 63351: A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?

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Question 63386: Find the domain of f(x)=(3x^2 - 2x + 1)/(x^2 + 9)
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Question 63364: Please help with the following problem: Rewrite the equation so y is a function of x... 1+7y=5x-2
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Question 63434: How do I find the slope of f(2)=-3,f(-2)=5
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Question 63450: Is 4 a solution to the equation x + 7 = 11?
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Question 63465: Multiply. (–2.5)(20)
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Question 63466: Add. 4/5 + 1/10
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Question 63462: Solve. 6(2 – x) = 4x
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Question 63460: Translate the following statement into an algebraic equaion. Let x represent the number.
6 times a number is 14 more than that number.

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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