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

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Question 871237: Question:
Which of the following are the solutions to x^2 + 12x = 9, as found by completing a punnet square?

Answer Choices:
A. 3√5 + 6, 3√5 - 6
B. √3/2, -(√3/2)
C. -6 - 3√5, -6 + 3√5
D. √39, -√39

Please explain how you got the answer.
Click here to see answer by Fombitz(32388)

Question 871228: Question:
The function f(x) is defined as f(x)= -4(x+2)squared-4. Which of the following statements correctly describes the intervals of the domain?
Answer Choices:
A.) The function is increasing on the interval (-∞,∞) and is negative on the interval (-∞,∞).
B.) The function is increasing on the interval (-∞,-4) and decreasing on the interval (-4,∞); it is positive on the interval (-∞,2) and negative on the interval (2,∞).
C.) The function is increasing on the interval (∞,2) and decreasing on the interval (2,∞); it is positive on the interval (-∞,-4) and negative on the interval (-4,∞).
D.) The function is increasing on the interval (∞,-2) and decreasing on the interval (-2,∞); it is negative on the interval (-∞,∞).

Can you please explain how you got the answer please.
Click here to see answer by Fombitz(32388)

Question 871247: This is a three part question.
The function b(x) is given below.
b(x)≥ 1/4x^2 + x - 8
Part A.) Graph the inequality on a coordinate plane.
Part B.) Explain how to decide which part to the graph to shade.
Part C.) How do you know if the boundary is included in the solution set?

Click here to see answer by josgarithmetic(39618)

Question 872407: domain values the square root of 3x+3 between -1000 and 1000
Click here to see answer by ewatrrr(24785)

Question 872718: Let f (x) = 4x^2 � 6 and g(x) = x � 2.
(a) Find the composite function (f o g)(x) and simplify.
(b) Find ( f o g ) (−1).
Click here to see answer by rothauserc(4718)

Question 872847: hi, how do you find domain and range without drawing the graph? thx
Click here to see answer by jim_thompson5910(35256)

Question 872968: Let f(x) = x^2 + 18x + 83. On what interval is the function decreasing?
Click here to see answer by psbhowmick(878)

Question 872968: Let f(x) = x^2 + 18x + 83. On what interval is the function decreasing?
Click here to see answer by ewatrrr(24785)

Question 872970: Let f(x) = 4x^2 � 6 and g(x) = x � 2. Find ( f O g ) (−1).
Click here to see answer by Alan3354(69443)

Question 873174: For all values of x in the interval 0 is less than or equal to x which is less than or equal to 360 that satisfy the equation 4cos^2x-5sinx-5=0. Express your answer to the nearest tenth of a degree.
Click here to see answer by lwsshak3(11628)

Question 873329: What are the first four terms of the sequence represented by the expression:
n(n-2)-3
Answers:
A) -5, -2, 1, 4
B) 4, -3, 0, 5
C) -3, 0, 3, 6
D) -2, 0, 2, 4
Click here to see answer by Fombitz(32388)

Question 872267: How can I find the domain of this function? y = √�(2x�+�5�x -��12)
(Everything to the right of the equal sign is being square rooted.
Click here to see answer by Fombitz(32388)

Question 873456: Two functions are shown below:
y= -2x + 3
y= 4x - 9
What is the value of x + y when the two functions are equal?
Click here to see answer by ben720(159)

Question 873435: Fill in the table using this function rule
y=-2x+5
Click here to see answer by ben720(159)

Question 873564: got stuck with this one please help
find the value of A,B and C that ensure the two polynomials y1(x)=-4x^2+9x-10 and y2(x)=A(x+10)+B(x-5)+C(x^2-4x-9) are equal for all values of x.

thanks so much for your help in advance
Matt
Click here to see answer by josgarithmetic(39618)

Question 873582: f(x)=x^2+2x-4 Give the vertex, axis, domain, and range.
Click here to see answer by lwsshak3(11628)

Question 873703: find the next three terms in the geometric sequence.
5, -1, 1/5, -1/25, 1/125...
show work thank YOU!
Click here to see answer by rothauserc(4718)

Question 874017: f(x)=x^2-12x-36; evaluate f(-2)
Click here to see answer by ewatrrr(24785)

Question 874040: Tell whether each set of ordered pairs satisfies an exponential function. Explain your answer.
1. {(0,0),(1,-2),(2,-16),(3,-54)}

thanks show work please.
Click here to see answer by Fombitz(32388)

Question 874192: In class we are learning how to find roots of equations, and I'm doing homework and need some help with it can you help? 3x^2+2x-1
Email is Baseballnoah928@aol.com

Click here to see answer by ewatrrr(24785)

Question 874134: Need Serious help.
The following rational function describes concentration in blood of a certain medicine taken once depending on the time.
Find: A) The horizontal or oblique asymptote (if any).
B) The vertical asymptote if any.
C) Describe their possible meanings.
f(x)=3/x+4
Click here to see answer by KMST(5328)

Question 874609: r(x)=3x and s(x)=x^3-6
find r(s(x))
Click here to see answer by jim_thompson5910(35256)

Question 874615: Solve the system of linear equations by using the equal values method
y=-x+3 and y=2x+9 And i already know the answer is (2,13)
Click here to see answer by josgarithmetic(39618)

Question 874614: Solve the system of linear equations by using the equal values method
y=x+3 and y=2x-5 And i already know the answer is (8,11)
Click here to see answer by josgarithmetic(39618)

Question 874650: hello, thank you so much for taking the time to help me. I am typing a writing assignment and I don't remember how to write out the solution for this problem; A car breks down, the tow company carges $30 plus $3 per mile, I have $162, how many miles can I get towed.
Click here to see answer by mananth(16946)

Question 874695: Solve the system of linear equations by using the equal values method
y=-x+3 and y=2x+9 And i already know the answer is (2,13)
Click here to see answer by josgarithmetic(39618)

Question 874813: I had this question on my homework and I really don't understand it. Could you help explain how to solve this to me? Thank you!
"If K = {(x, y) | x - y = 5}, find the corresponding range of y for the domain x = 0, 2, 4"
Click here to see answer by ewatrrr(24785)

Question 874992: the function f(x) = 8x+9/x-2 is one to one.
find an equation for f^-1(x), the inverse function
Click here to see answer by rothauserc(4718)

Question 875231: Given f(x) = 1/2x^2 -1. Find the least value of the function
Click here to see answer by ewatrrr(24785)

Question 875586: Using these two integers, 3 and 10 write solutions to a system of two equations.
Click here to see answer by Fombitz(32388)

Question 875593: Write two equations that have your two integers as solutions. My two integers are 3 and 10. Show how you built the equations using your integers.
Click here to see answer by Fombitz(32388)

Question 875950: Write a compound interest function to model the situation :
$12,000 invested at a rate of 6% compounded quarterly ;
Show all work please! thank you
Click here to see answer by ewatrrr(24785)

Question 876159: The deer population of a game preserve is decreasing by 2% per year. The original population was 1850. Write an exponential decay function to model the situation.
Is it y=1850(0.98)^t ?
if so, please show work! Please
Click here to see answer by josgarithmetic(39618)

Question 876164: The amount of time it takes to clean a restaurant is given by f (c ) = 2c where c is the number of customers they had. What is the range of this function?
Click here to see answer by jim_thompson5910(35256)

Question 876604: Quadratics Problem Set
The equation is fx=6x^2-8x-30
Click here to see answer by richard1234(7193)

Question 876612: Find the domain and range for the following function:
f(x)= 9x^3+4x^2-7
I have tried looking up how to do these and also in my math book, but it does not give good examples.... Please help!!
Click here to see answer by ewatrrr(24785)

Question 876618: Write a compound interest function to model each situation.
Then find the balance after the given number of years.
$12,000 invested at a rate of 6% compounded quarterly ; 15 years.
.
show all work please ! thank you.
Click here to see answer by ewatrrr(24785)

Question 876630: The deer population of a game preserve is decreasing by 2% per year. The original population was 1850. Write an exponential decay function to model the situation. The find the population after 4 years.
Thanks show work please.
Click here to see answer by ewatrrr(24785)

Question 876627: Write a compound interest function to model each situation. Then find the balance after the given number of years. $500 invested at a rate of 2.5% compounded annually; 10 years.
thanks show all work please !!
Click here to see answer by ewatrrr(24785)

Question 876636: The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation. Then find the number of employees in the company after 9 years.
thanks show work please.
Click here to see answer by ewatrrr(24785)

Question 876614: Write a compound interest function to model each situation.
Then find the balance after the given number of years.
$12,000 invested at a rate of 6% compounded quarterly ; 15 years.
show all work please ! thank you.
Click here to see answer by ewatrrr(24785)

Question 876657: The data in the table shows the price of apple at a local store over several years.
Year 1 , 2, 3 , 4,
Cost 0.45, 0.90 , 1.35, 1.80.
a. Which model best describes the data for apples?
b. Write the function that models the data for apples.
c. Predict the cost of apples in year 8.
Show work please help me thanks.
Click here to see answer by ewatrrr(24785)

Question 877436: How do you solve the basic function (X - 9) (X + 7) = 0
Click here to see answer by Alan3354(69443)

Question 877586: S= {(-1,4),(-3,0),(-4,-4),(5,-3) Give the domain and range of S
Click here to see answer by jim_thompson5910(35256)

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