algebra 2b - FINAL EXAM

the function f(x) = 9/5x + 32 models the temperature in degrees fahrenheit, given the temperature, x, in degrees celsius. part a: which expression models f^-1? part b: what is the value of f^1(50) and what does it represent?

a: 5/9(x - 32) b: 10, celsius, fahrenheit

part a: let p represent the number of grams of protein ben consumes each day. let c represent the number of grams of carbohydrates ben consumes each day. part b: which combinations allow ben to consume at least 350 grams of protein and carbohydrates combined while limiting the carbohydrates to no more than three times the amount of protein? select all that apply.

a: p + c >= 350 a: c <= XX p + 3 b: 90 grams of protein and 270 grams of carbohydrates b: 100 grams of protein and 290 grams of carbohydrates

part a: which equation represents the time, in minutes, it will take for the number of cells in the bacteria population to reach 5,000? part b: approximately how many minutes will it take for the number of cells in the bacteria population to reach 5,000? express your answer as a decimal rounded to the thousandths place.

a: x = log_2(5000/300) b: 4.059

what is the inverse of f(x) = (-3x + 12)/(4)?

f^1(x) = -4/3x + 4

which graph shows y = f(x + 2)?

https://assets.learnosity.com/organisations/290/5c648993-f04e-448b-9ee8-662deb53fa15.png

consider the function f(x) = 2 sin⁡ x + 3. which graph represents the solution set of f(x)?

https://assets.learnosity.com/organisations/290/e67c83bc-47b0-48ef-a0e2-3b16023f0104.PNG

a cafeteria charges $1.70 for a breakfast and $2.60 for a lunch. on monday, a combined 1,300 breakfasts and lunches were sold for a total of $3,087.50

incorrect: 1.7b + 2.6l = 1,300 correct: 1.7b + 2.6l = 3,087.50

it ___ possible that the scientists' work could be used to establish a cause-and-effect relationship because the scientists conducted an ____.

is, experiment

the difference between the mean lifespans of the two groups of rats described in the tables is ___ than 2 standard deviations from 0, so the difference ____ significant at a 95% confidence level.

more, is

based on his simulation, should joe agree to maggie's plan? ___ because a sum greater than 6 is likely to occur ____ ___ of the time.

no, more than, 50

zoey is making a cone. rhe formula v = 1/3πr^2h gives the volume, v, of a cone with radius, r, and height, h. zoey knows the volume and height of the cone. she wants to determine the radius. which equation shows the formula solved for r?

r = sqrt 3v/pih

consider the graph of f(x) = log(8x). how do the graphs of f(x) + 6, f(x - 6), and -f(x) compare to the graph of f(x)?

the graph of f(x) + 6 is shifted 6 units up from the graph of f(x) the graph of f(x - 6) is shifted 6 units right from the graph of f(x) the graph of -f(x) is a reflection across the x-axis of the graph of f(x)

consider the graph of h(x) = sin(x) - 5. how do the graphs of h(x - 3) and h(x) - 3 compare to the graph of h(x)?

the graph of h(x - 3) is shifted 3 units to the right of the graph of h(x) the graph of h(x) - 3 is shifted 3 units down from the graph of h(x)

consider the function f(x) = 0.75(5)^2x select from the drop-down lists to correctly complete each sentence describing the graph of f(x).

the graph of the function never interests the x-axis the graph of the function intersects the y-axis at 0.75

which sampling techniques describe a method of selecting a simple random sample that would allow the professor to estimate the percentage of students at her college that send text messages during class?

the professor posts her survey in the school newspaper. : no the professor has a lecture class with 140 students. : no there are 10,000 students at the professor's college. : yes the professor takes the id numbers for all : yes the professor and four teaching assistants each pick a different location on the college campus to stand : no

at the end of a rock concert, representatives of the featured performer randomly selected 50 of the attendees and had them fill out a survey that asked them if they had a positive, negative, or neutral impression of the performer's latest song. the performer's representatives then tabulated the results and concluded that exactly 82% of those surveyed had a positive impression of the song, exactly 8% had a negative impression, and exactly 10% had a neutral impression. which of these was most likely the purpose of the survey?

to estimate the percentages of all the performer's fans who have a positive, negative, and neutral impression of the song.

at a 95% confidence level, which values fall within the margin of error for the amount a person from the population spends annually on oral hygiene products?

$128.30 $203.36 $206.04 $189.85

using the table values below calculate the average rate of change of the function over the interval [-3, 0]

-4

written as a decimal, the proportion of people in the sample who experience the photic sneeze reflex is ___ so the proportion of people in the population who experience it is probably about the same.

0.24

the function f(x) is shown below. find the average rate of change over the interval 4 ≤ x ≤ 9.

1/5

fernando works between 12 and 25 hours each week. the function t, where t(x) = 9.50x, represents the amount of money fernando earns given the number of hours, x, he works. which statement best represents the domain of this function for any given week?

12 ≤ x ≤ 25

how many hours will it take for the number of bacteria to reach 1,000,000? express your answer rounded to the nearest whole number.

37

based on the data, approximately 95% of the bags produced weigh between ___ pounds and ___ pounds.

37.35 , 27.65

consider the functions f(x) and g(x), where f(x) = 2/3x - 5 and g(x) = 2/3x - 12. what is the location of the graph of g(x) as a translation relative to the graph of f(x)?

7, down

for this light bulb, we would expect 99.7% of bulbs to last between ___ hours and ___ hours.

875, 1625

what is the estimated proportion of families with school-aged children who prefer theme parks?

XXX 20

esther and gerald each investigated the effects of snake venom cream on arthritis symptoms. separately, they both recruited volunteers and randomly divided them into two groups. both of them administered snake venom cream to one group and a placebo cream to the other. esther found that snake venom cream relieves arthritis symptoms, while gerald found that it does not. which of these statements is true?

XXX esther performed an experiment because she found that snake venom cream relieves arthritis symptoms.

on which conveyor belt section do factory materials travel faster, in inches per minute?

XXX factory materials travel faster on conveyor belt 2 because the slope of m(x) is greater than the slope of p(x).