10:57A O X ll l 55%ACTIVITY 2: KNOW MY VALUE!Directions: Evaluate the rational algebraic expressions. Write your final answer on the space provided beforeeach item.3x-9"y?+4y+1.y-1iy = -2;z=-3z2-5z+6Processing question:

Answered: Image /qna-images/answer/332ea218-7f05-4a50-9ccd-2aeccadecbed.jpg

Answered: nnal answer on th cach item. 1 x= 4…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 10E

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An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model P=t2+13t+130,where1t6. Find the day that 160 students had the flu. Recall that the restriction on t is at most 6.
The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
C of these fish caught by fishing over the life span of the fish is given by the catch equation C=FM+FN0 where F is the proportion of fish caught annually, M is the proportion of fish that die of natural causes annually, and N0 is the original number of fish F stocked in the lake. If we let x denotes the ratio FM, then the catch equation can be rewritten as C(x)=x1+xN0 Assume that a lake is stocked with 1000 channel catfish a. Write the catch equation for the lake stocked with channel catfish. b. What is the horizontal asymptote for the catch equation? c. Explain what the horizontal asymptote means in terms of the original 1000 fish. d. What is the vertical asymptote for the catch equation? Does the pole of the equation have any meaning in terms of the fish population?
- find the value of each labeled cell in the table to explore the end behavior of rational functions. -for the end behavior entries, write your answers as y=? Where ? Is the value of the function approaches as x becomes larger and larger in the positive direction. - what do you noticed about the end behavior of different types of rational functions?
1. A car travelled a distance d = 2x2 +5x +2 / 4x2 - 4 in time t = x2 + x -2/2x2 +x-1 determine the rate of the car, where d= rt 2. Determine all values that would make the rational expression undefined. a). 2m/ (m+3) (2m-5) b). 5(x-1)(2x+3)/x2 (3x+1)(x-4)
consider the rational model p(t)= 0.86t2+3.5t+365 / 0.014t2+ 0.092t+5.77 where p(t) is the percentage of voter-elegible latinos who are registerd to vote at t year since 1980. predict when 59.2% of voter eligible latinos will be registered to vote
16. a)Write a simplied expression for the quotient function f(x)/g(x) , stating the necessary restrictions. b) What value(s) of x solves the rational equation f(x)/g(x) = 7?
: A plate whose shape is given by x2+y2 ≤ 1 is heated so that the tempratureT(x, y) at the point (x, y) isT(x, y) = x2 + kxy + y2,where k is a real number such that k > 2. Find the tempratures at thehottest and coldest points on the plate.
Average Linh has obtained scores of 82, 75, and 71 on hermidterm algebra exams. If the final exam counts twice asmuch as a midterm, what score must she make on her finalexam to get an average score of 80? (Assume that the maximum possible score on each test is 100.)
consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the percentage of voter-eligible latinos who are registered to vote at t years since 1980. predict when 59.2% of voter-eligible latinos will be registerd to vote.
The slant asymptote of the rational function y = ax2 +bx+c/x-2 passes through the origin,(0,0). PROVE that 2a+b=0
On a college campus of 5,000 students, one student returns from vacation with a contagious flu virus. The spread of the virus is modeled by: y=5000/(1+4999e-0.8t) t is greater than or equal to 0 Where y is the total number infected after t days. The college will cancel classes when 40% or more of the students are infected. After how many days will the college cancel classes?

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nnal answer on th cach item. 1 x= 4 3r-9" , syal. y = -2 y?-1 2-4+2 3. ;z=-3 sing question: