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

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Question 31661: I need to know STEP BY STEP how to work out this problem. 3(2x-5)=4(x=3) and how to get the answer.. please i really really need help!! Thanks so much!
Click here to see answer by checkley71(8403)

Question 31658: Having trouble with this:
x^3+3x^2+25x+75 zer0=: -5i
Use the remaining zero to find the remaining zeros. I am not sure what to do. Any guidance appreciated. Thanks!
Brad Olson
Click here to see answer by stanbon(57412)

Question 31755: Hello:
Here is the problem I am working on:
f(x)=x^4+13x^2+36
I am to find the complex zeros. I found -5 (x+5). But, if I were to divide the factor into the equation, I don't get a quadratic equation, so I cannot use the quad formula. Any help appreciated.
Thanks,
Brad Olson
Click here to see answer by venugopalramana(3286)

Question 31791: Can someone help with this word problem, it is not making any sense.
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t^2 + v0t + s0
• 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second^2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
I need to find the function that describes this problem?
The ball will be how high above the ground after 1 second?
How long will it take to hit the ground?
What is the maximum height of the ball? What time will the maximum height be attained?

Click here to see answer by Earlsdon(6287)

Question 31831: Need some help with this one.
For the funtion F(x)=X^2-2x+1
A) Find F(0)
B) Solve F(x)=0
Click here to see answer by stanbon(57412)

Question 31031: Hello:
I have a question about the following problem:
2x^3-3x^2-3x-5=0
I was never showed how to solve these. The book has me VERY confused. I am trying to find a zero. For my p/q, I got (plus/minus) 1, 1/2, 5, 5/2. I cannot get any of them to = 0 when I substitute. Is my arithmetic wrong, or am I going about this the wrong way? Wouldn't the zeros be the answers?
Thanks Again,
Brad Olson
Click here to see answer by venugopalramana(3286)

Question 31878: for the function y=x2-4x-5, perform the following tasks:
a) Put the function in the form y=a(x-h)2 +k ....the 2 after x is x squared, and the 2 after h is (x-h)squared
b)what is the line of symmetry?
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y=a(x-h)2 +k (the 2 after (x-h) is squared
d) how does this graph compare to the graph of y=x2(xsquared)
Click here to see answer by longjonsilver(2297)

Question 31932: Using the quadratic equation x^2 - 4x - 5 = 0, perform the following tasks:
Solve by factoring.
Solve by completing the square.
Solve by using the quadratic formula.

Click here to see answer by ikdeep(226)

Question 32126: Hello,
This homework question is from a worksheet, not a book:
F=2E+10
E 1 2 3 4 7 10 100
F
I need to fill in the numbers for line F.
My answer is 12 14 16 18 24 30 210
My answer assumes that 2E is 2 multiplied by each number on line E. Is this correct? Thanks in advance.
Click here to see answer by checkley71(8403)

Question 32146: this is from a worksheet covers 10.7 10.8 chp.11
if f(x)= 4/x-2 and g(x)=3/4x, find (f o g )(x), (g o f)(x), and the domain
Click here to see answer by stanbon(57412)

Question 32173:
Let f(x)=2kx +9, where k is a real number. If f(3):f(6)=1:3, determine the value of f(9)-f(3).
Click here to see answer by stanbon(57412)

Question 32167: How do i write a function rule for buying 3.5 pounds of bananas at the cost of $.39 a pound?
Click here to see answer by stanbon(57412)

Question 32288: I need help solveing for x:(2/3)x+4=(3/4)x+2
Click here to see answer by mukhopadhyay(490)

Question 32406: Word Problem
Two angles of a triangle measure 21 degrees and 86 degrees. What is the measure of the third angle?
Click here to see answer by wuwei96815(245)

Question 32393: Find the slope of the line determined by the equation:
Y = X - 12
______
4

Please enter your answer as a fraction.
Click here to see answer by Cintchr(481)

Question 32423: Given f(x)=4x+1 and g(x)=x^2+1
Find: (f o g)(x)=
my answer was 4x^2+4 was I correct?
Click here to see answer by mukhopadhyay(490)

Question 32423: Given f(x)=4x+1 and g(x)=x^2+1
Find: (f o g)(x)=
my answer was 4x^2+4 was I correct?
Click here to see answer by venugopalramana(3286)

Question 32529: Find the domain of the functions:
(a). f(x)= the sqaure root of 3-x
(b). g(x)= x/x^2-5x
Click here to see answer by mukhopadhyay(490)

Question 32434: Given f(x) 4/x+3
What is the vertical asymptote and horizontal asymptote?
Click here to see answer by mukhopadhyay(490)

Question 32579: I am having trouble with this problem, I need to sove for x. let h(x)= 4^(2x-1)
h(x)=(square root of 2) sorry i'm not sure how to enter that.
Click here to see answer by mukhopadhyay(490)

Question 32791: I do not understand this section can you explain this to me more clearly?
Click here to see answer by ikdeep(226)

Question 32789: Please, Calculate the equation of the linear function which contains the ordered pairs (-4,1) and (3,6).
Click here to see answer by checkley71(8403)

Question 32289: Simplifying: 2(2x+-4)+-3(4x+-1)+2(x+3)=0

Click here to see answer by mohd18(3)

Question 32958: This proble involves a function rule..
Input X 1 2 3 4 5 6
Output Y 3 2 1 0 -1 -2
We need to determine the function rule.
Another one..
Input X 1 2 3 4 5 6
Input y 1 3 5 7 9 11
Thanks!
Click here to see answer by checkley71(8403)

Question 32998: ax-2y=4=0 we know that f(-2)=-8 what is the value of a?
Click here to see answer by xcentaur(357)

Question 32937: f(x) = 3x^+2x-4
Click here to see answer by xcentaur(357)

Question 32891: Hi I am having some trouble with this problem from my College pre-calculus class.
Given the following rational function, Complete each of the following:
a. Find the zeros of the function.
b. Find the y-intercepts.
c. Find the horizontal and vertical asymptotes.

Click here to see answer by xcentaur(357)

Question 33017: A(-1;4):B(2;3): C(0;-3): D(-3;-2)
these points on a graph make a rectangle...specify...
what is the equation for the diagonales d1 and d2 of the rectangle?

what is the equation of the medianes m1 and m2 of the rectangle?

what is the area of this rectangle?
Click here to see answer by khwang(438)

Question 33121: In my math class we are doing Functions right now. The specific three we are using are Linear, Quadratic, and Exponential. Linear is y=mx+b, Quadratic is y=ax^2(+b) and Exponential is y=a*b^x. Each problem gives ordered pairs, or a table. I'll show you a table, and my answer, which I do not believe to be correct, since when I plug in some numbers from the table, doesnt not equal out.
EX:
X Y
-2 1.5
0 .5
2 -.5
4 -1.5
y=-x +.5
Now, that is how my math teacher taught us to solve it; find the slope, y intercept when x=0, etc, and when you plug numbers in from the table, my answer does not work. Obviously, since you are very intelligent, you will be able to see my flaw. Thank you.
Click here to see answer by venugopalramana(3286)

Question 33171: A rectangular yard is surrounded by a fence that is 4 feet longer than it is wide. If the perimeter of the fence is 424 feet, what are the dimensions of the yard it encloses?
Wouldn't this just be 424 minus 4?
Click here to see answer by mukhopadhyay(490)

Question 33191: what is the circumference of a circle with a diameter of 6cm?
Click here to see answer by sarah_adam(201)

Question 33191: what is the circumference of a circle with a diameter of 6cm?
Click here to see answer by checkley71(8403)

Question 33240: Please help:
If g(x)= 2x^2-5x-7
Find g(-1), g(2), g(-3), g(4)
Thanks
Click here to see answer by xcentaur(357)

Question 33164: Please, please, please, explain how you get the answer, I came up with 38% and I don't think it's right
The formula used to calculate the percentage of body fat for men is:
% Body fat = (-98.42 + 4.15w – 0.082 b) / b
Where “w” is the waist measurement in inches and “b” is the total body weight in pounds
What is the body fat for a man weighing 156 pounds and waist measurement of 32 inches. Round the percentage to the nearest interger.

Click here to see answer by longjonsilver(2297)

Question 33193: What is the circumference of a circle with a diameter of 6cm.
Click here to see answer by priya(51)

Question 33420: Not sure if the subject is right...this is a function word problem. I think I know the answer, but don't know how to write a function for it. PLEASE HELP! Thanks.
In 1992, there were 4,032 Ace Hardware Stores, while that number had decreased to 3,682 in 2002. Write a function that represents the number of stores, N, in terms of the year, letting t=0 represent the year 1992. Then use your function to predict the number of stores that will exist in the year 2007. Theoretically, in what year will there be NO Ace Hardware stores left??
N(t)=________________
In 2007:_____________
0 stores in:_________
This is from a worksheet, not my book. I would GREATLY appreciate any and all help received. Thanks again! : )
Click here to see answer by longjonsilver(2297)

Question 33388: I was wondering if you could please help me figure out how to do this problem. it is from the COMPASS practice test. i am retaking the COMPASS Running Start Test tomorrow, and am having trouble understanding how to complete the function problems. :(
3. For the 2 functions, f(x) and g(x), tables of values are shown below. What is the value of g(f(3)) ?
x_____f(x)_________________x____g(x)
–5____7____________________–2___3
–2___–5____________________1___–1
1_____3____________________2___–3
3_____2____________________3___–5
ANSWERS
A. –5
B. –3
C. –1
D. 2
E. 7
Click here to see answer by stanbon(57412)

Question 33530: What is the algebra fun solution to prove that 1 + 1 = 3?
Click here to see answer by mukhopadhyay(490)

Question 33530: What is the algebra fun solution to prove that 1 + 1 = 3?
Click here to see answer by AnlytcPhil(1278)

Question 33671: not sure if this is the right section, but here it goes:
A complete algebraic solution to explain your reasoning is required to achieve full marks. Show all your work.
Write an equation in the form y = ax^2 + bx + c for the quadratic function whose graph passes through the points (8,0), (0,8), and (-2,0).

This is Grade 11 University Math, it is a TIPS problem that we got to take home but I'll have to re-write it in class with a different but similar question.
Click here to see answer by stanbon(57412)

Question 33730: What is the inverse function of ? Thanks.
Click here to see answer by Nate(3500)

Question 33771: prove algebraically that is a one-to-one function. Thank you.
Click here to see answer by Nate(3500)

Question 33822: evaluate the following functions:
f(x)=-2x^2+3x+x-10
f(1)=? (I got -4)
f(-2)=? (I got -26)
f(3)=? (I got 20)
I just want to make sure I got the right answers and if I didn't where I went wrong. Thanks!
Click here to see answer by ice_water35(8)

Question 33946: Am doing this right? Is the ordered pair 5,-4 the answer for the following question
which ordered pair is a solution to 3x - 4y = -1
thanks for your help
Click here to see answer by stanbon(57412)

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