Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 41038: A rectangular garden is 80 m by 60m. Part of the garden is torn up to install a strip of lawn of equal width around the garden. The new area of the garden is 800m^2. How wide is the strip of lawn?
___m wide.
Thank you

Click here to see answer by josmiceli(3003)

Question 41075: This is from a study guide for my final the question is:
Find all the real and complex zeros of the polynomial x^4+4x^3-4x^2-36x-45
...I know the answe involves 3, 2 and an imaginary number but I am having difficulty which ones are postive and negative etc...
Click here to see answer by stanbon(26259)

Question 41078: Factor completely
9x^2 + 12xy + 4y^2 + 25
Click here to see answer by fractalier(1804)

Question 41078: Factor completely
9x^2 + 12xy + 4y^2 + 25
Click here to see answer by stanbon(26259)

Question 41098: rationalize the denominator:
sqrt 3x / sqrt x - sqrt 3.
i know i need to multiply the denomiator & numerator by sqrt x + sqrt 3 to
rationalize the problem so the denominator becomes x-3
but my problem is i can't figure out what the numerator becomes, i get confused.
Click here to see answer by psbhowmick(456)

Question 41101: express as a polynomial: ((x^2-xy)/(2x))*(2x+6y)=
i get x^2+2xy-3y^2
Click here to see answer by psbhowmick(456)

Question 41100: simplfy the expression (1/x-1/b) / (1/xb + 1/2).
i get x-b/2xb but i am not sure i am right.
Click here to see answer by psbhowmick(456)

Question 41122: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x)=5x^3+2x^2-2x+5
Click here to see answer by fractalier(1804)

Question 41164: Is this correct
Find the GCF of each product

(6y^2 - 3y) (y + 7)
=
3y (-3y) (y + 7)
Click here to see answer by PaulAllen65270(19)

Question 41218: When you expand an equation like, (2x-4y)^3
you get the result of 8x^3- 48x^2y + 96xy^2 - 64y^3
how do you know when to subtract and add while working put the problem?
do you go -, +, -
Click here to see answer by fractalier(1804)

Question 41217: State the possible number of imaginary zeros of g(x)=x^4+3x^3+7x^2-6x-13.
Click here to see answer by fractalier(1804)

Question 41212: Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
Click here to see answer by fractalier(1804)

Question 41199: The length of an airport is 1 mile more than twice its width. The area is 21 square miles. Identify the length and width of the airport.
Thank you
Click here to see answer by fractalier(1804)

Question 41204: The hypotenuse of a right triangle is 25 cm long. one leg is 17 cm longer than the other. Find the length of the shorter leg.
___cm
Thank you
Click here to see answer by fractalier(1804)

Question 41196: A picture frame is 20 inches by 12 inches. There are 84inches^2 of the picture showing. Find the width of the frame.
___ inches
Thanks
Click here to see answer by fractalier(1804)

Question 41236This question is from textbook
: how do you Factor the expresion 16w squared+80w+100 This question is from textbook

Click here to see answer by checkley71(8405)

Question 41236This question is from textbook
: how do you Factor the expresion 16w squared+80w+100 This question is from textbook

Click here to see answer by Nate(3495)

Question 41249This question is from textbook

: A triangle has the following three figures in regard to its sides, respectively:
3/4x, 1/x^2, 5/x^2
Find an expression that represents its perimeter.
Thanks!This question is from textbook

Click here to see answer by Nate(3495)

Question 41210: Find all of the rational zeros of f(x)=4x^3-3x^2-22x-15.
Click here to see answer by Nate(3495)

Question 41264: The Pythagorean Theorem
A triangle has sides whose lengths are consecutive integers. Find the lengths of the sides.
Thank you

Click here to see answer by Nate(3495)

Question 41263: Variations
The area of a circle varies directly as the square of the length of its diameter. What is the constant variation?
Thank you
Click here to see answer by Nate(3495)

Question 41260: Radical expressions
Three students were asked to simplify sqrt10 +sqrt50. Their answers were:
Sqrt10(1+sqrt5),
Sqrt10+5sqrt2, and
Sqrt2(5+sqrt5).
Which if any is correct?
Which is in simplest form?
Thanks so much
Click here to see answer by Nate(3495)

Question 41244This question is from textbook

: Add.
4y/y^2 + 6y +5 plus 2y/y^2 - 1
Thanks!This question is from textbook

Click here to see answer by zeynep(43)

Question 41238This question is from textbook Beginning Algebra

: Subtract. Write answer in simplest form.
5a - 12/a^2 - 8a + 15 minus 3a -2/a^2 - 8a + 15
Thanks!
This question is from textbook Beginning Algebra

Click here to see answer by zeynep(43)

Question 41209: I have a large rectangle with a smaller rectangle inside. The smaller rectangle is exactly in the center of the larger 1. The smaller rectangle's width is 20 and length is 40. The space between the Big and Small rectangle is the deck. The smaller rectangle is the pool.
What is the area of the deck?
What is the combined area of the deck and the pool?
---i tried solving it like this---
The length of the large rectangle is 20+2d
The width of the large rectangle is 40+2d
A=(20+2d)(40+2d)
800+40d+80d+4d^2
800+120d+4d^2
4d^2+120d+800 <------is this the right answer?
Thanks
Click here to see answer by psbhowmick(456)

Question 41158: What is the equation of the line that contains the points with (x,y) coordinatei greater than or equal to (-3,7) and (5,-1)?
Click here to see answer by psbhowmick(456)

Question 41170: Solve b^4+2b^2-24=0
Click here to see answer by zeynep(43)

Question 40390: The price of an item is given by p = 2x^2 - 100. Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by zeynep(43)

Question 41165: I don't quite understand this one.
Find a value for k so that 9m^2 - kn^2 will have the factors 3m + 7n, and 3m - 7n.
Thanks
Click here to see answer by vidhyak(78)

Question 41332: Write the equation of the parabola y=4x^2-8x+1 in standard form.
Thanks for the help.
Click here to see answer by Nate(3495)

Question 41321: (2a+y)(4a+b)
show work
Click here to see answer by tran3209(100)

Question 41401This question is from textbook

: Multiply.
2x^2 - x - 3/3x^2 + 7x + 4 times 3x^2 - 11x-20/4x^2 - 9
Thanks!This question is from textbook

Click here to see answer by gsmani_iyer(161)

Question 41471: Solve.
m³+ 2m² - 3m = 0
Click here to see answer by zeynep(43)

Question 41470: Factor Completely
32a² + 4a - 6
Click here to see answer by zeynep(43)

Question 41473: I need someone to explain these for me... it says to Find the GCF of the first two terms and the GCF of the last two terms for each polynomial.
10p^3-25p^2+4p-10
6n^3+3n^2+2n+1
Click here to see answer by AnlytcPhil(958)

Question 41477: P(x)=x^5+3x^3+2x-6
Click here to see answer by AnlytcPhil(958)

Question 41430: Linear Inequalities
The school board is investigating ways to hire a faculty for the summer school program. They can hire teachers and aids. A minimum of 20 faculty members is needed to run the program, and there must be at least 12 teachers. For a proper teacher-to-aide ratio, The number of aids must be no more than twice the number of teachers. There can be no more than 50 faculty members altogether. (Note there cannot be a negative number of teachers or aides)
a) Write an inequality for each condition given in this situation.
b) Graph the inequalities on the same coordinate axis.
c) If the school board hires 12 teachers and 5 aides, will all of the conditions be satisfied?
Thank You
Click here to see answer by psbhowmick(456)

Question 41474: (8y^2-2y-3) - (9y^2-7y-1)
show work
Click here to see answer by tran3209(100)

Question 41526: Which of the ordered pairs
(–12, 3), (3, 0), (–12, –3), (–22, 5)
are solutions for the equation x + 5y = 3?

Click here to see answer by stanbon(26259)

Question 41488: I need help with the folowing problem:
Find an equation of the inverse relation:
y=3x^2-5x+9
Click here to see answer by rapaljer(3620)

Question 41519: Can you please help.
Perform the operations and simplify. Assume the variables represent positive real numbers.

Click here to see answer by rapaljer(3620)

Question 41481:
Click here to see answer by atif.muhammad(135)

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