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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 411914: the variables x and y satisfy the equation
1/4y = 3^x
express this equation in a form giving lny in terms of x

Click here to see answer by stanbon(57246)

Question 411742: how do you write a quadratic function in standard form for this set of zeros: 5 and -1
Click here to see answer by ankor@dixie-net.com(15638)

Question 412114: Consider the graph of the equation y=-2x^2+4x+1. What is the max y-value of the graph?
I know that this parabola is concave but I don't understand how to put this equation into a standard form to find the vertex.
Please help me. Thank you.
Click here to see answer by solver91311(16868)

Question 412149: what does it mean when a questions say "what value should be excluded from the domain of the function"?
Click here to see answer by jim_thompson5910(28504)

Question 412314: order the following from least to the greatest
-6 -7 2/3 3/4 0
Click here to see answer by ewatrrr(10682)

Question 412519: Graph the function.
xy + 16 = 0

Graph the function.
6xy = 13
Click here to see answer by solver91311(16868)

Question 412568: Is this a true statement for this function? f(2)+f(3)=f(5)
Click here to see answer by jim_thompson5910(28504)

Question 412605:
Click here to see answer by bsmath(21)

Question 412660: Express 5√72 in simplest form.
Click here to see answer by solver91311(16868)

Question 412846: i need to solve the equation for y..
-4x+y=
Click here to see answer by Alan3354(30983)

Question 412891: Simplify the rational expression. Assume that no denominator equals zero.
x^3-4x over x^2-4x+4
Click here to see answer by rfer(12647)

Question 412892: Simplify the rational expression. Assume that no denominator equals zero.
x^2-x-2 over x^2+x
Click here to see answer by rfer(12647)

Question 412889: Simplify the rational expression. Assume that no denominator equals zero.
9-4x^2 over 6x^2-5x-6
Click here to see answer by mananth(12270)

Question 412889: Simplify the rational expression. Assume that no denominator equals zero.
9-4x^2 over 6x^2-5x-6
Click here to see answer by lwsshak3(6472)

Question 412897: Simplify the rational expression. Assume that no denominator equals zero.
x^2-x over x^2-1
Click here to see answer by rfadrogane(214)

Question 412897: Simplify the rational expression. Assume that no denominator equals zero.
x^2-x over x^2-1
Click here to see answer by rfer(12647)

Question 413139: How do you solve:
(x-2)/x < (x-4)/(x-6)
Click here to see answer by rfer(12647)

Question 413652: Can you help me solve the equation by using the Lowest Common Denominator? The problem is
5/x^2+x-6 = 2+ x-3/x-2
Can you show me step by step how to get the answer? My teacher can't teach and the homework hotline is closed.
Click here to see answer by ankor@dixie-net.com(15638)

Question 414052: Multiply or divide. State any restrictions on the variables.

((x^2-16)/(x^2+5x+6))/((x^2+5x+4)/(x^2-2x-8))

Click here to see answer by MathLover1(6622)

Question 414077: Solve the equation. Check the solution.
((g+4)/(g-2))=((g-5)/(g-8))
a. 14
b.-22
c.22
d. -22/3
Click here to see answer by ewatrrr(10682)

Question 414109: How would you simplify radicals like square root of 16m^4n^8?
Click here to see answer by ewatrrr(10682)

Question 414118: how would you do the square root of 72c7d6
Click here to see answer by ewatrrr(10682)

Question 414048: Multiply or divide. State any restrictions on the variables

((c+1)/(c-2))/((c-2)/(c^2-7c+10))
Click here to see answer by MathLover1(6622)

Question 414177: Solve the equation
If t=(rs)/(q(s-1))
t=2.5
r=6
q=3
find s
Click here to see answer by Fombitz(13828)

Question 414177: Solve the equation
If t=(rs)/(q(s-1))
t=2.5
r=6
q=3
find s
Click here to see answer by MathLover1(6622)

Question 414186: (sighs) I am stuck
Write 72x^2y^3z^5/240xy^3z7 in the lowest terms. I believe it is 3x/10z^2, right?
Click here to see answer by sudhanshu_kmr(1152)

Question 414190: I have no idea what this is saying.
Solve the problem.
The surface area of a sphere varies directly with the square of its radius. If the surface area of a sphere with a radius of 12 inches is 576π square inches, find the surface area of a sphere with a radius of 3 inches.
Click here to see answer by sudhanshu_kmr(1152)

Question 414216: in biology, a function defined by g(x) 12x / 6+x gives the growth rate of a population for x units of available food. what amount of food would produce a growth rate of 6 units of growth per unit of food?

a. 6units
b. 2units
c. 3units
d. 4units
Click here to see answer by sudhanshu_kmr(1152)

Question 414213: a boat can go 30 miles down stream 3/5th the time that it takes to return the same distance upstream. If the rate of the current is 3 miles per hour, what is the rate of the boat in still water?
a. 8mph
b. 10mph
c. 12mph
d. 16mph
Click here to see answer by mananth(12270)

Question 414298: if y varies inversely as the cube of x, and y=64 when x=3,Find the value of x when y=216.
Click here to see answer by josmiceli(9661)

Question 414298: if y varies inversely as the cube of x, and y=64 when x=3,Find the value of x when y=216.
Click here to see answer by ewatrrr(10682)

Question 414295: If y = f(x) and the point (9,2) is on the graph of f, find the equation of f and the y coordinate of the point whose x coordinate is 6 if y varies inversely as x.
Click here to see answer by josmiceli(9661)

Question 414296: if y varies inversely as the square root of x and y=27 when x=9, what is y when x=16? Find y in terms of x.
Click here to see answer by ewatrrr(10682)

Question 414292: A farmer wants to have a rectangular garden which is 350m^2 in area.
a. How do we find the area of a rectangle?
b. Make a table of some possible lengths and widths which the garden can ahve. Describe how the length and width are related to one another.
c. Explain why the relationship is is one of inverse variation? What is the ratio of proportionality?
Click here to see answer by josmiceli(9661)

Question 414294: If y varies inversely as the square of x and y=9 when x=2, write the equation of variation and find the value of x when y=4.
Click here to see answer by ewatrrr(10682)

Question 414288: a machine can make 6405 screws in 3 hours. How many screws can it make in 8 hours?
Click here to see answer by josmiceli(9661)

Question 414293: If y varies inversely as x and y=5 when x=3, find the equation of variation and the value of x when y=7.
Click here to see answer by ewatrrr(10682)

Question 414291: WHich of the following tablws show inverse variation of the given variables? Find the constant of proportionality and the equation of variation where appropriate.
a. x -2, -1, 1, 2, 3
y -5, -10, 10, 5, 3 1/3
b. x -2, -1, 1, 2, 3
y -1 1/2, -4, 6, 3 1/2, 2 2/3
c. x -2, -1, 1, 2, 3
y -2 1/2, -5, 5, 2 1/2, 1 2/3
d. x 1, 2, 3, 4, 9
y 2, sqrt of 2 , 2sqrt of 3 over 2, 1, 2/3
e. In an inverse variation, what value will either variable never assume? why?
Click here to see answer by ewatrrr(10682)

Question 414299: The frequency or number (f) of vibration of a string under constant tension is inversely proportional to the length (l) of the string. If a string of 48 cm
vibrates 192 cycles per second, find the the constant of proportionality and the number of vibrations per second a string of 32 cm will make.
Click here to see answer by Theo(3458)

Question 414289: a spring stretches 23 centimeters for every 6 kg of weight By how many centimeters will it stretch if the weight is 15 kg?
Click here to see answer by ewatrrr(10682)

Question 414290: The weight (M) of an object on the moon varies directly as the weight (E) on earth. A person who weighs 60 kg on Earth weighs about 10 kg on the moon. About how much would an object weighing 45 kg on the moon weigh on Earth?
Click here to see answer by ankor@dixie-net.com(15638)

Question 414515: Choose the simplified expression. : (x)/(x^2-4)+ (7)/(3x+6)
also
Choose the simplified expression. : (m)/(m+3)-(6m)/(m^2-9)

Click here to see answer by woolybear(13)

Question 414542: Choose the simplified expression. : (m)/(m+3)-(6m)/(m^2-9)
Click here to see answer by emargo19(101)

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