Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Question 168792: How would you find the exact coordinates of the vertex for the following quadration function?

y=-x(1/2x-12)-1/10

Thank you!
: How would you find the exact coordinates of the vertex for the following quadration function?

y=-x(1/2x-12)-1/10

Thank you!

Click here to see answer by stanbon(18787) About Me 

Question 168794: How would you solve the following equation by using the quadratic formula?

3/4x^2=1/2x+1/3

Thanks!
: How would you solve the following equation by using the quadratic formula?

3/4x^2=1/2x+1/3

Thanks!

Click here to see answer by nerdybill(1049) About Me 

Question 168756: How would you solve the following equation by completing the square?
4x^2+7x-10=0
: How would you solve the following equation by completing the square?
4x^2+7x-10=0

Click here to see answer by stanbon(18787) About Me 

Question 168737: Hello I'm new to this site, I wanted to know if
there is a easy and short way to solve this problem?
(2+3i)(1-5i)
: Hello I'm new to this site, I wanted to know if
there is a easy and short way to solve this problem?
(2+3i)(1-5i)

Click here to see answer by jim_thompson5910(9217) About Me 

Question 168514: grahp funciton... []=absoulue value
y=-[x]+4
y=3-2x
: grahp funciton... []=absoulue value
y=-[x]+4
y=3-2x

Click here to see answer by jojo14344(832) About Me 

Question 168513: graph function..[]=absoulut value
y=1/2x+1
y=[x+2]-3
: graph function..[]=absoulut value
y=1/2x+1
y=[x+2]-3

Click here to see answer by jojo14344(832) About Me 

Question 168348: How would you find the coordinates of the vertex for the following quadratic function?

y=7x^2+6x-5
: How would you find the coordinates of the vertex for the following quadratic function?

y=7x^2+6x-5

Click here to see answer by midwood_trail(231) About Me 

Question 168452: how are the expressions x over 7 times x over 3 and (x over 7)3 different? explain: how are the expressions x over 7 times x over 3 and (x over 7)3 different? explain
Click here to see answer by eggsarecool(11) About Me 

Question 168335: How would you write the equation for the axis of symmetry and find the coordinates of the vertex for the following quadratic function?

y=7x^2+6x-5


Thank you!

: How would you write the equation for the axis of symmetry and find the coordinates of the vertex for the following quadratic function?

y=7x^2+6x-5


Thank you!


Click here to see answer by stanbon(18787) About Me 

Question 168286: 3a/a+1+2a/a-3: 3a/a+1+2a/a-3
Click here to see answer by jojo14344(832) About Me 

Question 168287: 3a/a+1+2a/a-3: 3a/a+1+2a/a-3
Click here to see answer by jojo14344(832) About Me 

Question 168037: Tony can paint a room in 4hr. Gina can paint he same room in 3 hr. Working together, how long will it take them to paint the room. : Tony can paint a room in 4hr. Gina can paint he same room in 3 hr. Working together, how long will it take them to paint the room.
Click here to see answer by Earlsdon(3719) About Me 

Question 167987This question is from textbook INTRO TO COLLEGE MATH
: the relative aperture, or f-stop, of a 23.5-mm diameter lens is directly proportional to the focal length F of the lens. If a 150-mm focal length has an f-stop of 6.3, find the f-stop of a 23.5-mm diameter lens with a focal length of 80 mm.This question is from textbook INTRO TO COLLEGE MATH
: the relative aperture, or f-stop, of a 23.5-mm diameter lens is directly proportional to the focal length F of the lens. If a 150-mm focal length has an f-stop of 6.3, find the f-stop of a 23.5-mm diameter lens with a focal length of 80 mm.
Click here to see answer by stanbon(18787) About Me 

Question 167899: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel

Click here to see answer by Earlsdon(3719) About Me 
Question 167899: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
: I am working with my school website on My Math Lab and this is a question asked. I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel

Click here to see answer by checkley77(3412) About Me 

Question 167898: I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel
: I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the problem
4x^2-8x-5x^2-5x=2, but that is all I have. I have been trying by "substitution", but have not found the answer. Please help me solve for x.
Thank you,
Rachel

Click here to see answer by checkley77(3412) About Me 

Question 167883: Mulitply 8r + 16/ 24r - 24 . 6r - 6/ 3r + 6
How I solved
8(r+2) / 8 (r-3) . 3 (r-2)/ 3 (r + 2)
Cancel out r+2 and both 8 and 3
Giving me
r-3 / 3r - 3
Amy I doing this correctly?
: Mulitply 8r + 16/ 24r - 24 . 6r - 6/ 3r + 6
How I solved
8(r+2) / 8 (r-3) . 3 (r-2)/ 3 (r + 2)
Cancel out r+2 and both 8 and 3
Giving me
r-3 / 3r - 3
Amy I doing this correctly?

Click here to see answer by nerdybill(1049) About Me 

Question 167709: graph the function. State the Domain and range
y=x+2
____
x+3
: graph the function. State the Domain and range
y=x+2
____
x+3

Click here to see answer by jim_thompson5910(9217) About Me 

Question 167618: evaluate the difference quotient for f(x)=x^2

Difference quotient= f(x+h)-f(x)divided by h
: evaluate the difference quotient for f(x)=x^2

Difference quotient= f(x+h)-f(x)divided by h

Click here to see answer by Fombitz(1741) About Me 

Question 167587This question is from textbook Algebra 2
: Solve each system of equations:
x+2y=12
3y-4z=25
x+6y+z=20
This question is from textbook Algebra 2
: Solve each system of equations:
x+2y=12
3y-4z=25
x+6y+z=20

Click here to see answer by Electrified_Levi(79) About Me 

Question 167394: I really need help on these two questions.
Graph: 1. 16x^2+9y^2=144
2. x^2/9-(y+2)^2/9=1
I don't understand how to do these. I have to show my work.
PLEASE HELP!!!
Thanks
: I really need help on these two questions.
Graph: 1. 16x^2+9y^2=144
2. x^2/9-(y+2)^2/9=1
I don't understand how to do these. I have to show my work.
PLEASE HELP!!!
Thanks

Click here to see answer by KnightOwlTutor(216) About Me 

Question 167480This question is from textbook Algebra 2
: I dont know how to work out this problem-
You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You make a profit of $10 for a small box, and $20 for a large box. If you have no more than 30 hours available to stencil and want atleast 12 boxes to sell how many of each box should you stencil to maximize your profit ?
a) Identify your variables. If x = small boxes, what does y=______ ?
b) What is the objective function (profit) ?
C=_____x+______y
c)What are the constraints ?
x+y_____12(boxes)
_____x+_____y <_ _____hours
d) Graph your constraints to find the feasible region.
e) How many of each size box should you stencil to maximize your profit ?
This question is from textbook Algebra 2
: I dont know how to work out this problem-
You are stenciling wooden boxes to sell at a fair. It takes you 2 hours to stencil a small box and 3 hours to stencil a large box. You make a profit of $10 for a small box, and $20 for a large box. If you have no more than 30 hours available to stencil and want atleast 12 boxes to sell how many of each box should you stencil to maximize your profit ?
a) Identify your variables. If x = small boxes, what does y=______ ?
b) What is the objective function (profit) ?
C=_____x+______y
c)What are the constraints ?
x+y_____12(boxes)
_____x+_____y <_ _____hours
d) Graph your constraints to find the feasible region.
e) How many of each size box should you stencil to maximize your profit ?

Click here to see answer by Mathtut(373) About Me 

Question 167405: Please help. I have two questions.
1. Identify the function represented by y=3/x
2. Solve: 8/t+5=t-3/t+5+1/3.
PLEASE HELP!!!
: Please help. I have two questions.
1. Identify the function represented by y=3/x
2. Solve: 8/t+5=t-3/t+5+1/3.
PLEASE HELP!!!

Click here to see answer by Alan3354(1217) About Me 

Question 167400: Will you please help me.
Determine the equation of any vertical asymptotes and the value of x for any holes in the graph: f(x)=x^2-11x+18/x-2
I must show my work and I am lost
Thanks
: Will you please help me.
Determine the equation of any vertical asymptotes and the value of x for any holes in the graph: f(x)=x^2-11x+18/x-2
I must show my work and I am lost
Thanks

Click here to see answer by gonzo(444) About Me 

Question 167213This question is from textbook College Algebra
: Find the horizontal asymptote of each rational function.
F(x)= (2x-3)(3x+4) (numerator)
(1-2x)(3-5x) (denominator)
The answer I have is y=3/5. Is this correct?
This question is from textbook College Algebra
: Find the horizontal asymptote of each rational function.
F(x)= (2x-3)(3x+4) (numerator)
(1-2x)(3-5x) (denominator)
The answer I have is y=3/5. Is this correct?

Click here to see answer by Fombitz(1741) About Me 

Question 167192: (√2 + √-2)^2
______________
(2)^2
the line represents division
: (√2 + √-2)^2
______________
(2)^2
the line represents division

Click here to see answer by Edwin McCravy(2043) About Me 

Question 167068: slope intercept form
a. m= -6; (9,3)
b. m= -2 b=4
: slope intercept form
a. m= -6; (9,3)
b. m= -2 b=4

Click here to see answer by Alan3354(1217) About Me 

Question 166996: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is:
If f(x)=2x-3, then find the value of f^-1(0)
The part that stumps me is putting f to the power of -1.
We understand how to solve the problem if it's not but to a power.
Thank you so much for your help! I appreciate it greatly.
-Isaac
: I'm working with a student myself at a Deaf school in Jamaica and we came across a problem that stumped me. The question is:
If f(x)=2x-3, then find the value of f^-1(0)
The part that stumps me is putting f to the power of -1.
We understand how to solve the problem if it's not but to a power.
Thank you so much for your help! I appreciate it greatly.
-Isaac

Click here to see answer by Fombitz(1741) About Me 

Question 167060: Sketch by hand
F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of
a) x- & y- intercepts
b) relative maxima and minima
c) points of intersection
: Sketch by hand
F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of
a) x- & y- intercepts
b) relative maxima and minima
c) points of intersection

Click here to see answer by Fombitz(1741) About Me 

Question 166875: Please help me. I'm stumped on 2 problems in Algebra 2.
Here they are:
1. Find the dimensions of a rectangle "a" with the greatest area whose perimeter is 30 feet.
2. Given x^3-4x^2+2x+1=0
(a) How many possible positive roots are there?
(b) How many possible negative roots are there?
(c) What are the possible rational roots?
(d) Using synthetic substitution, which of the possible rational roots is actually a root of the equation?
(e) Find the irrational roots of the equation. (Hint: Use the quadratic formula to solve the depressed equaiton.)
Thanks a lot!
Andrew
: Please help me. I'm stumped on 2 problems in Algebra 2.
Here they are:
1. Find the dimensions of a rectangle "a" with the greatest area whose perimeter is 30 feet.
2. Given x^3-4x^2+2x+1=0
(a) How many possible positive roots are there?
(b) How many possible negative roots are there?
(c) What are the possible rational roots?
(d) Using synthetic substitution, which of the possible rational roots is actually a root of the equation?
(e) Find the irrational roots of the equation. (Hint: Use the quadratic formula to solve the depressed equaiton.)
Thanks a lot!
Andrew

Click here to see answer by stanbon(18787) About Me 

Question 166707This question is from textbook polynomial function
: PLEASE HELP ME solve this polynomial equation by factoring
4x^3+7x^2-5x-6
THANK YOU SO MUCH
This question is from textbook polynomial function
: PLEASE HELP ME solve this polynomial equation by factoring
4x^3+7x^2-5x-6
THANK YOU SO MUCH

Click here to see answer by Alan3354(1217) About Me 

Question 166633This question is from textbook mathematics
: is this answer for this question right?
2(4 2/3) equals 8 2/3 am i right or wrong
This question is from textbook mathematics
: is this answer for this question right?
2(4 2/3) equals 8 2/3 am i right or wrong

Click here to see answer by Alan3354(1217) About Me 

Question 166626: Can someone help me with the question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
Thank you.
: Can someone help me with the question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
Thank you.

Click here to see answer by gonzo(444) About Me 
Question 166626: Can someone help me with the question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
Thank you.
: Can someone help me with the question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2.
Thank you.

Click here to see answer by stanbon(18787) About Me 

Question 166613: Please help with:
For f(x)=-2x^5+3x^4-6x^2+1, what does Descartes rule of signs tell you about:

(a) the number of positive real zeros?
(b) the number of negative real zeros?
Thank you.

: Please help with:
For f(x)=-2x^5+3x^4-6x^2+1, what does Descartes rule of signs tell you about:

(a) the number of positive real zeros?
(b) the number of negative real zeros?
Thank you.


Click here to see answer by gonzo(444) About Me 
Question 166613: Please help with:
For f(x)=-2x^5+3x^4-6x^2+1, what does Descartes rule of signs tell you about:

(a) the number of positive real zeros?
(b) the number of negative real zeros?
Thank you.

: Please help with:
For f(x)=-2x^5+3x^4-6x^2+1, what does Descartes rule of signs tell you about:

(a) the number of positive real zeros?
(b) the number of negative real zeros?
Thank you.


Click here to see answer by nerdybill(1049) About Me 

Question 166599: Please help me with:
Find a rational function that has x=4 and x=3 as vertical Asymptotes, and (-2,0) as an x-intercept.
Thanks
: Please help me with:
Find a rational function that has x=4 and x=3 as vertical Asymptotes, and (-2,0) as an x-intercept.
Thanks

Click here to see answer by gonzo(444) About Me 

Question 166558: Please help with this question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2
Thank you.
: Please help with this question:
Use the rational zeros theorem to list all possible rational zeros of P(x)=3x^3-5x^2+4x-2
Thank you.

Click here to see answer by jim_thompson5910(9217) About Me 

Question 166503: PLEASE HELP!!!
Graph f(x)=-x^2+4x-3, labeling the y intercept, vertex, and axis of symmetry.
Also
graph f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relative maxima and relative minima occur.
I must show my work. This is a worksheet.
Thanks
: PLEASE HELP!!!
Graph f(x)=-x^2+4x-3, labeling the y intercept, vertex, and axis of symmetry.
Also
graph f(x)=(-x)^4+4x^2-2x by making a table of values. Then estimate the x-coordinates at which the relative maxima and relative minima occur.
I must show my work. This is a worksheet.
Thanks

Click here to see answer by gonzo(444) About Me 

Question 166504: These will be the last questions. Please help
1. List all of the possible rational zeros of f(x)=3x^5-7x^3+2x-15.
2. State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)=9x^3-7x^2+10x-4.
I must show my work. No textbook. Have been absent from school and have a big test on Monday. Need to know how to do these for the test.
Thanks
: These will be the last questions. Please help
1. List all of the possible rational zeros of f(x)=3x^5-7x^3+2x-15.
2. State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)=9x^3-7x^2+10x-4.
I must show my work. No textbook. Have been absent from school and have a big test on Monday. Need to know how to do these for the test.
Thanks

Click here to see answer by jim_thompson5910(9217) About Me 

Question 166375: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = 2x^3 - x^2 - 12x + 6
: Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = 2x^3 - x^2 - 12x + 6

Click here to see answer by Fombitz(1741) About Me 

Question 166206: Can you help me? Am I on the right track?
f(x) = 3x+1
g(x) = (x^2 + 5x)^-1/2 find g(f(x)
g (3x+1)^2 + 5(3x+1)
(9x^2+6x+1 + 15x+5)^-1/2
square root of 1/9x^2+21x+6 answer???
: Can you help me? Am I on the right track?
f(x) = 3x+1
g(x) = (x^2 + 5x)^-1/2 find g(f(x)
g (3x+1)^2 + 5(3x+1)
(9x^2+6x+1 + 15x+5)^-1/2
square root of 1/9x^2+21x+6 answer???

Click here to see answer by MRperkins(77) About Me 

Question 166126: How would you solve the following equation by factoring and applying the Zero-Product Property?
5x^2-125=0
This is what I have tried:
(5x+5)(x+-5)
5x+5=0
5x=-5
x=-1
x+-5=0
x=5
Thank you so much!:D
: How would you solve the following equation by factoring and applying the Zero-Product Property?
5x^2-125=0
This is what I have tried:
(5x+5)(x+-5)
5x+5=0
5x=-5
x=-1
x+-5=0
x=5
Thank you so much!:D

Click here to see answer by jim_thompson5910(9217) About Me 

Question 166118: How would you solve the following equation by factoring and applying the Zero-Product Property?
9x^2-4=0

Thank you so much!!!!!
: How would you solve the following equation by factoring and applying the Zero-Product Property?
9x^2-4=0

Thank you so much!!!!!

Click here to see answer by checkley77(3412) About Me 

Question 166029: can someone please help me with this problem:
Graph the rational funciton.
Pf(x) = x+4 / x-1
: can someone please help me with this problem:
Graph the rational funciton.
Pf(x) = x+4 / x-1

Click here to see answer by Fombitz(1741) About Me