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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 193004: Solve each equation or inequality.
8. 1/2+3x + 2/2-3x =0
Click here to see answer by stanbon(57214)

Question 193021: f(x)=x^2-x-6/x-6
What is the slant asymptote of the graph f? I need a full explanation as the dividing is what is giving me problems.
Click here to see answer by RAY100(1637)

Question 193021: f(x)=x^2-x-6/x-6
What is the slant asymptote of the graph f? I need a full explanation as the dividing is what is giving me problems.
Click here to see answer by scott8148(6628)

Question 193041: Solve each equation or inequality.
10. 1/x-3 + 1/x+5 = x+1/x-3
Click here to see answer by RAY100(1637)

Question 193129: Rewrite with rational exponents:
square root of 17
Click here to see answer by Mathtut(3670)

Question 193129: Rewrite with rational exponents:
square root of 17
Click here to see answer by jim_thompson5910(28476)

Question 193259: Factor the following polynomials completely using synthetic division.
x to the 3rd power - 5x squared + 2x + 8

X to the 4th power - 4x to the 3rd power - 13x squared + 28x + 60

Click here to see answer by stanbon(57214)

Question 193257: The profit function for the Haggard Apple Orchard`s out-of-state sales is
P(x) = -x squared + 276x - 11,454, where x is the number of pounds of apples in hundreds and P(x) is the profit in dollars. How many pounds should be sold out of state to produce a maximum profit, and what is that profit?

Click here to see answer by stanbon(57214)

Question 193271: Write the rational expression x(x+1)^2(x-5)/x(x+2)(x-5)^3 in simplest terms. Show your work.
Click here to see answer by jim_thompson5910(28476)

Question 193258: If P(x) =3x to the 3rd power + 7x squared - 2x +6, use the remainder theorem to find the remainder when this polynomial is divided by the following binomials.
x - 3

x + 2

x + 1

x - 5
Click here to see answer by RAY100(1637)

Question 193256: the sound sleeper pillow company makes pillows and sells them to motel chains. The plant is trying to minimize cost in the production of pillows. The cost in the production of 2x Squared - 96x + 6837 , where x represents the number of lots of 100 pillows made and C(x) represents the cost of manufacturing the pillows. How many pillows should be produced and sold for the company`s cost to be minimized? what is the minimum cost?

Click here to see answer by nerdybill(6948)

Question 193306: When solving a rational equation, why is it necessary to perform a check?
Click here to see answer by stanbon(57214)

Question 193405: saturn is about 2.87x10^12m from the sun. light travels at approximately 3x10^8 m/s. how long does it take for the suns light to reach saturn? give your answer in seconds and to the nearest minute.
Click here to see answer by Mathtut(3670)

Question 193425: Okay, so I tried doing this problem numerous times and didn't know what to do.
-Find All Roots.
x^3-13x^2+56x-78

Please And Thank you for your help (:
Click here to see answer by Alan3354(30955)

Question 193433: FIND ALL ROOTS
List all possible rational zeroes of the function--- 5x^7-7x^3+12x-4

I don't know where to start.

Click here to see answer by stanbon(57214)

Question 193605:
Click here to see answer by Mathtut(3670)

Question 193752: Could you please help me with these problems. Thank you
Find each function value, if it exists.
f(t)=sqrt(t^2+1)
f(0)=
Simplify your answer. Type and exact answer, using radicals as needed. Type N if the square root is not a real number.
f(-2)=
Simplify your answer.
f(6)=
Simplify your answer
2. Simplify your answer. Type an exact answer, using radicals as needed.
root:3(a)(root:3(2a^2)+root:3(16a^2)
Click here to see answer by RAY100(1637)

Question 193825: What is the slope and y-intercept of the following line:
y = -4x + 7
Thank you.
Click here to see answer by stanbon(57214)

Question 193825: What is the slope and y-intercept of the following line:
y = -4x + 7
Thank you.
Click here to see answer by solver91311(16868)

Question 194010: full break down on why (sqrt a + sqrt b)^2 / a-b = a + 2 sqrt ab + b/a-b
Click here to see answer by solver91311(16868)

Question 193975: 5. State the main points of the Central Limit Theorem for a mean.
6. Why is population shape of concern when estimating a mean? What does sample size have to do with it?
Click here to see answer by solver91311(16868)

Question 194079: 7 + square root 5 over 3 + square root 5 = ?
...is the answer 4 - square root 5?

Click here to see answer by stanbon(57214)

Question 194056: Could someone please show be how this is done?
3^(1/3) * 3^(2/3)

Click here to see answer by Earlsdon(6287)

Question 194181: Rational Functions
Graph and show all asymptotes and intercepts.
a. x/x^2-4
b. 3/x^2-1
c. 2x+1/x+3
ASAP thanks

Click here to see answer by stanbon(57214)

Question 194294: What is the solution of (x+3)/(x-5)(x-2)>0?
Click here to see answer by edjones(7569)

Question 194460: How do you factor the rational expression 4x^2-2x?
Click here to see answer by Mathtut(3670)

Question 194541: Verify that f(x)=^3square roor of 2x and g(x)=x^3/2 are inverse functions
Click here to see answer by RAY100(1637)

Question 194560: Im stuck on a few problems and REALLY need help asap Id appreciate it.
Rewrite the fractions by rationalizing the denominator.
1.
2.
3.
Click here to see answer by josmiceli(9645)

Question 194611: Could you help me out with these two problems. I don't get it.
1. At a height of h meters, you can see V kilometers to the horizon. These numbers are related by the equation V=3.5sqrt(h). A person can see 364 km to the horizon from an airplane window. How high is the airplane?
The airplane is__ meters high.
2. The formula r=2sqrt5L can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 50 mph?
The car will skid _feet. Thank you!
Click here to see answer by nerdybill(6948)

Question 194637: Determine the domain and range. Identify the period and amplitude. Graph the equation.
y=4cos(x)
Click here to see answer by stanbon(57214)

Question 194661: What is the vertical asymptote for the function ?
Click here to see answer by stanbon(57214)

Question 194724: 9(x+2)(2x-1)and3(x+2)
Click here to see answer by solver91311(16868)

Question 194802: I have these 3 problems left and i cannot figure them out someone please help asap id really appreciate it.
Solve the equation for x.
1.
2.
3.
Click here to see answer by stanbon(57214)

Question 194814: Please help..
1. Solve each equation for x.
Part 1.
Step 1. Square both sides of the equation. Show your work.
Step 2. Solve the equation from step 1 for x. Show your work.
Step 3. Check your solution from step 2 in the original equation. Show your work.
Step 4. State the solution for the equation .
Thank you.
Click here to see answer by edjones(7569)

Question 194816: Please help..
1. Solve each equation for x.
Part 1.
Step 1. Square both sides of the equation. Show your work.
Step 2. Solve the equation from step 1 for x. Show your work.
Step 3. Check your solution from step 2 in the original equation. Show your work.
Step 4. State the solution for the equation .
Thank you.
Click here to see answer by solver91311(16868)

Question 194817: State the solution for the equation
Click here to see answer by Mathtut(3670)

Question 194854: Write a function that models each variation.
1. x = -1 when y = 5. y varies inversely as x.
2. x = 3 and y = 12 when z = 2. z varies directly with y and inversely with x.
Click here to see answer by Mathtut(3670)

Question 194944: I have checked over these problems more than once and each time wrong. Could you tell me if they are correct.
1. Darla is building a new desk. To make sure she had made a square corner, she measures 5ft. from the corner along one edge and 4ft. from the corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle?
Diagonal=__ft. My answer 6.4ft.
2. Guy wire. How long is a guy wire reaching from the top of a 15-ft pole to a point on the ground 10 feet from the pole?
What is the exact length?
__feet. My answer 18.028
What is the length approximated to three decimal places?
__feet. (Round to the nearest thousandth)
Click here to see answer by Alan3354(30955)

Question 194963: I do not understand how to graph these.
Click here to see answer by Alan3354(30955)

Question 194964: What is The simplest form of [3^(1/2)*8^(1/3)]^2
Click here to see answer by jim_thompson5910(28476)

Question 194819: Solve equation for x.(Please step-by-step so i can undersatnd it thanks.)

Step 1: Isolate the radical on the left side of the equation. Show your work.
Step 2: Square both sides of the equation from step 1. Show your work.
Step 3: Solve the equation from step 2 for x. Show your work.
Step 4: Check your solution from step 3 in the original equation. Show your work.
Step 5: State the solution for the equation .

Click here to see answer by ankor@dixie-net.com(15623)

Question 195007: (x/x+1)/(x+(x/3)

Click here to see answer by stanbon(57214)

Question 194984: please help me out...........

-54=10-(m-10)^3/2
Click here to see answer by stanbon(57214)

Question 195038: PLEASE I need help on this test question asap. Thanks.
Solve each equation for x.

Step 1: Square both sides of the equation. Show your work.
Step 2: Solve the equation from step 1 for x. Show your work.
Step 3: Check your solution from step 2 in the original equation. Show your work.
Step 4: State the solution for the equation
Click here to see answer by checkley77(12569)

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