ceriseraccoon712

QUESTION 7.
Find the domain of the function and identify any vertical and horizontal asymptotes.
f(x) = 2+x/2-x
ANSWERS:
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
QUESTION 8.
Select the correct graph of the function. Choose from among the graphs listed below: 1st, 2nd, 3rd, or 4th.
f(x)=6/x+3
QUESTION 9.
The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants discharged into a river is given by
C=245p/100-p,0 ≤ p < 100
According to this model, it is possible to remove 100% of the pollutants.
ANSWERS:
True
False
QUESTION 10.
Based on your answer to the previous problem, explain why you chose your answer (whether it is possible or not to remove 100% of the pollutants).
QUESTION 11.
In the following formula, S(x) is the minimum number of hours of studying required to attain a class score of x. How many hours of study are needed to score 56? Round your answer to the nearest whole number.
S(x)= 50x/100-x
QUESTION 12.
The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C(t)=50 t /(t^2 + 25) where t is the time (in hours) after taking the antibiotic. What is the concentration 5 hours after taking the antibiotic?
QUESTION 13.
In order to join a gym, you pay a $200 annual fee, then $10 for each exercise class you attend. Indicate which equation below would allow you to determine the average cost per class if you go to x amount of classes: 1st, 2nd, 3rd, or 4th.
QUESTION 14.
Which of the following can a graph NEVER cross:
ANSWERS:
Vertical asymptote
Horizontal asymptote
Slant asymptote
All of the above
QUESTION 15.
Select the graph of the rational function. Choose from among the graphs below: 1st, 2nd, 3rd, or 4th.
g(x)=1/2-x
QUESTION 16.
One pipe can fill a pool in 1.5 hours. A second pipe can fill up the pool in 2 hours. Which of the equations below would determine how long it would take to fill the pool when both pipes are used? Select the correct equation:1st, 2nd, 3rd, or 4th.
QUESTION 17.
Using the equation you wrote in the last problem, how long would it take to fill the pool if both pipes are open at the same time? Write your answer in fraction form.

1. for what values if x does the graoh of f(x)=6x^3-45x^2+72x+36have a horizontal tangent? wnter the x values inorder, smallestfirst, to 4 places of accuracy. x1= less then equaltox2

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, FE/FG.

What is law of gravitation

The random variable X has the cdf

(a) Verify that F is a proper CDF.

(b) Find the pdf of X.

(c) Find E(X) and Var(X), where these are defined.

graph 4x^2+4y^2=64

Carter and Isabella run a carwash business. They split the revenue

50/50. They are deciding on if they should join forces with Carla's carwash.

If they join with Carla, the combined carwash will make $2400 more per month, but they'll have to split revenue equally

(33.3/33.3/33.3).

On an average month, Carter and Isabella's carwash makes $6000.

How much more or less would Carter or Isabella individually make if they merged with Carla's carwash? *

$200 less

$400 more

$200 more

$400 less

In which sentence are the commas placed correctly?

A. The judge yelled "Order in the court order, in the court ORDER-IN-THE-COURT!"

B. He proudly showed me his prize--a bag filled wih, bubblegum, caramels licorice, and cinnamon bears.

C. Eagle Bend was two miles wide, three miles long, and thirty feet deep at this flooded stage.

Based on the provided definitions, which sentence uses the underlined vocabulary word correctly?

A. I love to avaiable with my friends on a Friday night.
B. My dad has money available to help pay for my college tuition if I do well in high school.
C. The surgery available her legs and allowed her to run faster.

In which sentence are the commas placed correctly?

A. We went toward the shore got in a creek, landed near a fence, and there we remained till daylight.

B. I asked for biscuits, a three penny load, or three great puffy rolls.

C. I certainly did seem to have a most awkward, ridiculous, and foolish appearance. 

Math the relationship in the second pair of words with that of the first pair.

Synonym: antonym :: indifference : _____

A. diligent
B. apathetic
C. board

Determine whether or not the function is continuous for the given values of x

Is the function continuous at x=0? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

 ◯ A. Yes, the point is defined, lim f(x) exists, and lim f(X) = ◴ (Simplify your answer)

    x c                    x 0

 ◯ B. No, the function is not continuous at x=0.

Which answer shares a word part with the following word?

Word Parts: prefix, suffix, root

perpetrate(carryout)

A. pretty
B. perpetual
C. state

Which major level of classification contains the largest grouping of species?

What should be included in a news story?

A. the author's ideas and options about why the event took place

B. the name of the author's favorite food

C. where the news event took place

Find all values x=a where the function is discontinuous.

f(x) is discontinuous at x=□

(Use comma to separate answers as needed)