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

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 150500: graph f(x) = 4^x and g(x)=log(base4)x in the same rectangular coordinate system Click here to see answer by ankor@dixie-net.com(15652)

 Question 150499: graph f(x) = 5^x and g(x)=log(base5)x in the same rectangular coordinate system Click here to see answer by josmiceli(9680)

 Question 150719: hi i am studying for my final and i would like to know something. this is the task: tamika invests \$3000 in a 5-yr cd that pays 5.35% interest compounded monthly. how much will she have in the acc. at the end of the 5 yr period? I used the formula A=P(1+r/n)nt so I got A = 3000(1+0.535/12)60 (that is an exponent) now, i first divided 0.535 by 12 and then +1 so I get 1.044583333... and i took that by 60 exponential. I get 13.69574101 on the answer sheet it is written like this: A=3000(1+0.535/12)60 3000(1.305916985) = 3917.75 how do i get the 1.3059...etc? how do i calculate the braces with the 60 exponential part? what i did was calculating the braces first and then take it exponential 60. Click here to see answer by stanbon(57356)

 Question 150690: You investigate how long it would take you and a friend to fold 1000 origami cranes. You take 2 minutes to fold 1 crane. Let x represent the number of minutes it might take a friend to fold 1 crane. Question: The expression 60/1000x is your friend's work rate per hour. Explain why. Click here to see answer by stanbon(57356)

 Question 150689: y= M + A/N + A A = any coefficient M = degree of the numerator N = degree of the denominator If M = N, the horizontal asymptote is the ratio of its coefficient So, what if M < N and M > N, how do you find the horizontal asymptote? Click here to see answer by stanbon(57356)

 Question 150819: The speed of a plane is 120 miles per hour in a calm. With the wind it can cover a certain distance in 4 hours, but against the wind it can cover only 3/5 of that distance in the same time. Find the velocity of the wind. Click here to see answer by nerdybill(6959)

 Question 150820: An army of soldiers is marching down a road at 5 miles per hour. A messenger on horseback rides from the front to the rear and returns immediately, the total time taken being 10 minutes. Assuming that the messenger rides at the rate of 10 miles per hour, determine the distance from the front to the rear. Click here to see answer by mangopeeler07(462)

 Question 150883: I don't know if you have that textbook, but if so you may be able to help me. in section 8.1 example 4 and 8 there are examples where the number suddenly changes into i. i ll write it down in case you don/t have the book. the example 4: (2x-5)2 = -16 2x-5 = +- square root -16 2x-5 = +- 4i 2x=5+-4i x=5+-4i / 2 i have had the section about i in college but i don't understand the transition from root -16 to 4i. how does the i come into play? 8.1 example 8 is also sth with i, if you have the book it would be great if you could explain that to me as well. anna Click here to see answer by stanbon(57356)
 Question 150883: I don't know if you have that textbook, but if so you may be able to help me. in section 8.1 example 4 and 8 there are examples where the number suddenly changes into i. i ll write it down in case you don/t have the book. the example 4: (2x-5)2 = -16 2x-5 = +- square root -16 2x-5 = +- 4i 2x=5+-4i x=5+-4i / 2 i have had the section about i in college but i don't understand the transition from root -16 to 4i. how does the i come into play? 8.1 example 8 is also sth with i, if you have the book it would be great if you could explain that to me as well. anna Click here to see answer by mangopeeler07(462)

 Question 150889: if i have for example - sqrt 25/12 = sqrt25 is 5 and sqrt 12 would be sqrt 4 times sqrt 3 so sqrt 4 is 2 would my result be 2*5 1/sqrt3 = 10 1/sqrt3? Click here to see answer by Earlsdon(6287)

 Question 150905: The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal, Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago? Click here to see answer by ankor@dixie-net.com(15652)
 Question 150905: The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal, Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago? Click here to see answer by mangopeeler07(462)

 Question 150907: Jerry's Drive-In recently sold small soft drinks for \$1, medium soft drinks for \$1.15, and largesoft drinks for \$1.30. During lunch-time rush, tome sold 40 soft drinks for a total of \$45.25. The number of small and large drinks, comboned, was fewer than the number of medium drinks. How many drinks of each size were sold? Click here to see answer by josmiceli(9680)

 Question 151053: Find an equation of a line through (1,-3) that is perpendicular to 5x+2y=14 Click here to see answer by Fombitz(13828)

 Question 151049: Find an equation of a line through (1,-3) that is perpendicular to 5x+2y=14 Click here to see answer by checkley77(12569)

 Question 151055: 2xsquared - 4x = 3 how do i start to solve this? i tried it and got something with sqrt of 10...??? Click here to see answer by Fombitz(13828)
 Question 151055: 2xsquared - 4x = 3 how do i start to solve this? i tried it and got something with sqrt of 10...??? Click here to see answer by checkley77(12569)

 Question 151052: I don;t know how to do that... x cubed-27 divided by x cubed-3x squared+2x-6 Click here to see answer by mangopeeler07(462)

 Question 151059: rationalize the denominator: sqrt 2 divided by sqrt 6 - sqrt 3 Click here to see answer by jim_thompson5910(28595)

 Question 151056: sqrt of 2 divided by sqrt of 6- sqrt of 3 i know to take the exponent 2 so that i will have sqrt2 * sqrt 6 - sqrt 3 divided by 3... then i don't know... Click here to see answer by jim_thompson5910(28595)

 Question 151154: How can you determine if two lines are perpendicular? now i understand that they are perpendicular when the intersecting lines create a 90 degree angle but how do i explain that more in depth in about 50 words? Click here to see answer by nabla(475)

 Question 151218: Word Problem: Working alone, Bill can finish the job one hour faster than Adam. It would take Carl three times as long as Bill to do the job alsone. Working together, it takes them 1 hour. How long would it take each of them to finish the job if they wre working alone? (Hint if you don't use the LCD, this problem might have cubes which would be nearly unsolvable.) Click here to see answer by scott8148(6628)
 Question 151218: Word Problem: Working alone, Bill can finish the job one hour faster than Adam. It would take Carl three times as long as Bill to do the job alsone. Working together, it takes them 1 hour. How long would it take each of them to finish the job if they wre working alone? (Hint if you don't use the LCD, this problem might have cubes which would be nearly unsolvable.) Click here to see answer by ankor@dixie-net.com(15652)

 Question 151235: If tom can fill a swimming pool in 30 min, sally can fill one in 45 min, and Joe can fill one in 90 min. How long will it take for them to fill a swimming pol together? Click here to see answer by ankor@dixie-net.com(15652)

 Question 151700: what is the quotient dē/ (d plus 4) divided by dē - 4d / (dē plus 8d plus 16) Click here to see answer by jim_thompson5910(28595)

 Question 151837: This problem has stumped me, this is the 2nd time this week. The function M(t)=600(1.3)^t Could you tell me how to figure this problem on the TI-83 calculator? I'm not sure where to start on this problem. Any help or hints you can give me would be greatly appreciated! Thank you, Thank you, Thank you Click here to see answer by nabla(475)

 Question 151984: how would you solve the following word problem The diagonal of a square measures 10 inches. What is the length of the sides. I know this problem uses a^2 + b^2 = c^2 and so far I have c^2=10^2 = 100. Whats next? Click here to see answer by Earlsdon(6287)

 Question 152049: Help Please!! Solve equation in the real number system. 2x^3 - 11x + 10x +8 = 0 Thank you for your help! Click here to see answer by vleith(2825)

 Question 152179: Can you identiy the intercepts and asymtoms of this equation? f(x) = (4x^2) / (x^2 - 9) Click here to see answer by oscargut(891)

 Question 152151: i dont undersatnd these type of questions rationalize 1/^6-^5 , please right the answers in step by step. thankyou Click here to see answer by Edwin McCravy(8909)

 Question 152252: I'm trying to simplify this ratonal expression. Can someone help me? The problem is 8x-10 over 10-8x. If anyone can help, I would deeply appreciate it. Thanks alot! Click here to see answer by jim_thompson5910(28595)

 Question 152178: Can you identify the intercepts and asymptotes of this equation? f(x) = (3x) / (x^2 + 1) Click here to see answer by mducky2(62)