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

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Question 159645: Please explain to me how to factor polynomials. I need it broken down step by step. When to use formulas (a+b)^2= (a+b)(a+b)=a^2+2ab=b^2 or (a+b)(a-b)=a^2-b^2 or a^3 +b^3= (a+b)(a^2-ab=b^2) etc.
Here's a problem, for example:
Factor: 28y^2-13y-6
Thank you!

Click here to see answer by checkley77(12844)

Question 159699: can someone please help me with this problem:
Complete the square and write the equation in standard form. Then give the center and radius of the circle.
x^2^+ y^2 - 2x - 4y - 4 = 0
Click here to see answer by solver91311(24713)

Question 159706: can someone help me with this problem:
Which of the following is a reflection of f(x) = -x + 1 about the x-axis?
a. r(x) = x + 1
b. r(x) = x - 1
c. r(x) = -(x - 1)
d. None of the above
Click here to see answer by edjones(8007)

Question 159709: can someone help me with this question:
(f^o g)(x) = (g^o f)(x)
a. Always
b. Never
c. Sometimes
d. There is no such thing as (f^o g)(x)
Click here to see answer by Fombitz(32388)

Question 159708: can someone please help me with this problem:
What is f(x) if f(x) = z(x) + 2 and z(x) = 2x - 3?
a. f(x) = z(x) - 1
b. f(x) = z(x) + 2x -1
c. f(x) = 2x - 1
d. This cannot be solved.
Click here to see answer by ankor@dixie-net.com(22740)

Question 159907: Find all the solutions of the equation algebraically.
9x^4-24x^3+16x^2=0
Click here to see answer by nerdybill(7384)

Question 159878: Find the values for which 2y-6 over 2y square +5y+2 is undefined
Click here to see answer by Fombitz(32388)

Question 159989: Catching up. A sailboat leaves port and travels due south at an average speed of 9mph. Four hours later a motorboat leaves the same port and travels due south at an average speed of 21 mph. How long will it take the motorboat to catch the sailboat?
Click here to see answer by KnightOwlTutor(293)

Question 160048: The perimeter of a cross section of a "two-by-four" piece of lumber is 10 1/2 in. The length is twice the width. Find the actual dimension of the cross section of a two-by-four. I have tried 2n+n=10 1/2 and that formula didn't work. I have tried 2(2n+n)=10 1/2 and thats wrong. Please help me?
Click here to see answer by ankor@dixie-net.com(22740)

Question 160103: -2(2y-7)=2y-12+6y I am lost please help
Click here to see answer by edjones(8007)

Question 160107: can someone please help me with this problem:
What is g(x) = f^-1(x) if f(x) = 1/2x ?
Click here to see answer by nerdybill(7384)

Question 160110: can someone please help me with this problem:
Which of the following is a translated version of f(x) = x^3 ?
a. f(x) = x^3 + 1
b. f(x) = (x - 12)^3
c. f(x) = (x - 12)^3 + 1
d. All of the above
Click here to see answer by stanbon(75887)

Question 160114: can someone please help me with this problem:
Which of the following is a line perpendicular to y = 1/2x + 4 ?
a. y = 1/2x - 1/4
b. y = 2x - 4
c. y = 2x - 1/4
d. y = -2x
Click here to see answer by stanbon(75887)

Question 160115: can someone please help me with this problem:
What is the y-intercept of y = 1/2x + if it passes through (-8,-4) ?

Click here to see answer by checkley77(12844)

Question 160109: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
If f(g(x)) = g(f(x)) = x, then what can we say about f(x) and g(x)?
a. They are functional inverses of each other
b. f(x) = g(x)
c. f(x) = g(x) = x
d. Nothing can be said about f(x) and g(x)
Click here to see answer by stanbon(75887)

Question 160127: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
What is this?:

a. The difference quotient
b. The denominator of the difference quotient
c. The numerator of the difference quotient
d. Its just an algebraic expression
Click here to see answer by Edwin McCravy(20054)

Question 160174: can someone please help me with this question;
Find and simplify the difference quotient f(x+h)-f(x) / h , h =(with slash through the = sign) 0 for the given function.
f(x) = 3x - 9
a. 3 + 6(x-9)/h
b. 0
c. 3
d. 3 + -18/h
Click here to see answer by gonzo(654)

Question 160208: can someone please help me with this problem;
Determine whether the equation defines y as a function of x.
y = CHECK SIGN(4x - 3)
a. y is a function x
b. y is not a function of x
Click here to see answer by midwood_trail(310)

Question 160132: Use synthetic division for each, write the quotient and remainder:
(2x^4-3x^3+ix^2-x-5i) divided by (x+i)
I am confused with the i's, please help. Thank you
Click here to see answer by midwood_trail(310)

Question 160260: can someone please help me with this problem:
Two lines are parallel if:
a. m1 =(-m2)^-1
b. m1 = -m2
c. m1 = m2
d. None of the above
Click here to see answer by nerdybill(7384)

Question 160259: can someone please help me with this problem:
Evaluate the function at the given value of the independent variable and simplify.
f(x) = -5x + 8; f(-3)
a. 23
b. -9
c. 3
d. 7
Click here to see answer by oscargut(2103)

Question 160300: Find two consecutive odd integers that the sum of whose squares is 130
(if there are 2 answers pls give both)
Click here to see answer by nerdybill(7384)

Question 160298: Find a number that is 56 less than its square. If there are two correct answers give both of them.
Click here to see answer by nerdybill(7384)

Question 160301: A rectangular garden has perimeter 66ft and area 216ft squared. Find the dimensions of the garden.
Click here to see answer by nerdybill(7384)

Question 160302: two ships leave port, one sailing east and the other south. Some time later they are 17 miles apart, with the eastbound ship 7 miles further from the port than the southbound ship. how far is each from port?
Click here to see answer by ankor@dixie-net.com(22740)

Question 160258: can someone please help me with this problem:

Identif the intercepts
** THERE IS A GRAPH WITH A LINE GOING THROUGH X=1, Y=5 **
a. (1,0),(0,5)
b. (-5,0),(0,5)
c. (-1,0), (0,5)
d. (1,0),(0,-5)

Click here to see answer by Letmo(3)

Question 160326: an open topped box is made from a rectangular piece of cardboard, with the dimensions 24 cm by 30 cm, by cutting congruent squares from each corner and folding up the sides. determine the dimensions of the squares to be cut to create a box with a volume of 1040cm^3
Click here to see answer by checkley77(12844)

Question 160341: n-42/n=377/8
Click here to see answer by Alan3354(69443)

Question 160368: Hello I have a question about this problem:
(30h^-2)(k^14)/ (5hk^-3)
The answer is in the back of the book and it's 6k^17/h^3, but the problem is I don't know how to reach the conclusion. I tried solving it by first diving 30 by 5 which gave me 6, but it's with the variables that I get mixed up.
Click here to see answer by stanbon(75887)

Question 160398: Could someone please show me how to multiply and simplify this equation.
*
Click here to see answer by KnightOwlTutor(293)

Question 160403: Could someone show me how to subtract and simplify.

Click here to see answer by nerdybill(7384)

Question 160401: I am having trouble finding the varation constant and the equation of the varation where y varies directly as x where y=2 when x=1.
Click here to see answer by Earlsdon(6294)

Question 160399: Can anyone show me how to solve this equation.

Click here to see answer by scott8148(6628)

Question 160441: Could someone show me how to solve this equation?

Click here to see answer by jim_thompson5910(35256)

Question 160474: Could someone show me hot to multipky this expression?

Click here to see answer by vleith(2983)

Question 160483: Could someone show me how to express this expression using positive exponents?

Click here to see answer by Edwin McCravy(20054)

Question 160489: Could someone show me how to solve for x?

Click here to see answer by Edwin McCravy(20054)

Question 160488: I am having a little trouble with this one. Multiply and simplify. Assume all numbers under the radical are positive.

Click here to see answer by checkley77(12844)

Question 160487: Could someone show me how to simplify by removing factors of 1.

Click here to see answer by checkley77(12844)

Question 160577: 98.) Height difference. A red ball and a green ball are simultaneously tossed into the air. The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is feet. The green ball is given an initial velocity of 80 feet per second, and its height t seconds after it is tosses is feet.
a.) Find the polynomial D(t) that represents the difference in the height of the two balls.
b.) How much higher is the red ball 2 seconds after the balls are tossed?
c.) In reality, when does the difference in the heights stop increasing?

Click here to see answer by ankor@dixie-net.com(22740)

Question 160653: hi please help me solve 4x^2-9}}
Click here to see answer by nabla(475)

Question 160658: hello please help me factor
Click here to see answer by checkley77(12844)

Question 160749: I am trying to factor the following: -3t^2+23t+8 can you help me?
Click here to see answer by KnightOwlTutor(293)

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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105