Question 1

Find  of the functions. ​  ,  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find  of the functions. ​ ...

Question 2

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function.
​  ​
Answer polynomial or rational. __________
​
If a polynomial function, the degree is __________

Accepted Answer

The answer of Determine whether the given function is a...

Question 3

Find  of the functions. ​  ,  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find  of the functions. ​ ...

Question 4

Find  for the function. Simplify your answer. ​  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The only difference between the two given codes is the third set of characters, which has changed from "d50b" to "d50c". Using hexadecimal addition, we can determine that the difference between these two sets is only one digit, specifically one higher in the second given code. Therefore, the correct answer is the third option, which has the corresponding set as "d50f", which is one higher than "d50e".

Question 5

Let  ,  , and  . Find the rule for the function fgh. ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The only change occurring in the three given inputs is in the third segment of the UUID, specifically, the third hex digit changing by one each time. Therefore, the same should occur in the output. Looking at the possible answers, we see that only choice C has the correct third hex digit (5BE0).

Question 6

Determine whether the equation defines y as a linear function of x. Answer yes or no.
​

Accepted Answer

The answer of Determine whether the equation defines y as...

Question 7

Experiments conducted by A. J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be approximated by the rational function
​  ​
where b is a positive constant that depends on the particular frog. If a concentration of 20 units of acetylcholine produces a response of 40% for a certain frog, find the "response function" for this frog.

Accepted Answer

The answer of Experiments conducted by A. J. Clark suggest...

Question 8

The number of homes with digital TVs is expected to grow according to the function
​  ​
where t is measured in years, with t = 0 corresponding to the beginning of 2000, and f(t) is measured in millions of homes.
​
Round your answers to the nearest whole number.
​
How many homes had digital TVs at the beginning of 2000?
​
__________
​
How many homes will have digital TVs at the beginning of 2005?
​
__________

Accepted Answer

The answer of The number of homes with digital TVs...

Question 9

Let  ,  . Find the rule for the function  . ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Let  ,  . Find the...

Question 10

A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $15,000, and the variable cost for producing x pagers/week is  dollars. The company realizes a revenue of   dollars from the sale of x pagers/week. ​What is the profit for the company if 2,000 units are produced and sold each week?
​
A) $112,000
B) $117,000
C) $107,000
D) $102,000
E) $97,000

Accepted Answer

To find the profit, we need to subtract the total cost (fixed cost + variable cost) from the revenue:

Total cost = fixed cost + variable cost
Variable cost = 11eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11 * 2,000 = 22,000eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11
Total cost = $15,000 + $22,000eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11 = 37,000eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11
Revenue = 11eb651f_cb9a_7164_b0a1_316604a26b6b_TB8255_11 * 2,000 = 22,000eb651f_cb9a_7164_b0a1_316604a26b6b_TB8255_11

Profit = Revenue - Total cost
Profit = 22,000eb651f_cb9a_7164_b0a1_316604a26b6b_TB8255_11 - 37,000eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11
Profit = -15,000eb651f_cb9a_7162_b0a1_e76fb8574451_TB8255_11

Therefore, the company is operating at a loss of $15,000 per week by producing and selling 2,000 units. None of the given answer choices are correct.

Question 11

Find and simplify  for the function.  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find and simplify  for the function....

Question 12

A manufacturer has a monthly fixed cost of $30,000 and a production cost of $6 for each unit produced. The product sells for $25/unit.
​
What is the cost function?
​
__________
​
What is the revenue function?
​
__________
​
What is the profit function?
​
__________

Accepted Answer

The answer of A manufacturer has a monthly fixed cost...

Question 13

Determine whether the given function is a polynomial function or rational function. State the degree, if it is polynomial function.
​  ​
Answer polynomial or rational. __________
​
If a polynomial function, the degree is __________

Accepted Answer

The answer of Determine whether the given function is a...

Question 14

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by
​  ​
with t = 0 corresponding to the beginning of 1995.
​
Round the answers to two decimal places, if necessary.
​
What will be the ratio at the beginning of 2005?
​
__________
​
At the beginning of 2020?
​
__________

Accepted Answer

The answer of The ratio of working-age population to the...

Question 15

Assume that the demand function for a certain commodity has the form
​  ​
where x is the quantity demanded, measured in units of a thousand, and p is the unit price in dollars. Suppose the quantity demanded is 7,000 (x = 7) when the unit price is $9.00 and 9,000 (x = 9) when the unit price is $7.00. Determine the demand equation.

Accepted Answer

The answer of Assume that the demand function for a...

Question 16

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.
​
__________
​
Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.
​
__________

Accepted Answer

The answer of Find the constants m in the linear...

Question 17

Find functions  and  such that  . ​  ​
A)  , 
B)  , 
C)  , 
D)  , 
E)  ,

Accepted Answer

The answer of Find functions  and  such that...

Question 18

An apple orchard has an average yield of 38 bushels of apples/tree if tree density is 21 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 21/acre, find a function in x that gives the yield of apples.

Accepted Answer

The answer of An apple orchard has an average yield...

Question 19

Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain species and the air temperature. When the temperature is 90° F, the crickets chirp at the rate of 200 times/minute, and when the temperature is 110° F, they chirp at the rate of 300 times/minute. Find an equation giving the relationship between the air temperature T and the number of chirps/minute N of the crickets.

Accepted Answer

The answer of Entomologists have discovered that a linear relationship...

Question 20

For the pair of supply and demand equations
​  and  ​
where x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.
​
Equilibrium quantity: __________ thousand units
​
Equilibrium price: $ __________

Accepted Answer

The answer of For the pair of supply and demand...

Quiz 2: Functions, Limits, and the Derivative

Find of the functions. ,

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. Answer polynomial or rational. If a polynomial function, the degree is

Find of the functions. ,

Find for the function. Simplify your answer.

Let , , and . Find the rule for the function fgh.

Determine whether the equation defines y as a linear function of x. Answer yes or no.

Let , . Find the rule for the function .

Find and simplify for the function.

A manufacturer has a monthly fixed cost of $30,000 and a production cost of $6 for each unit produced. The product sells for $25/unit. What is the cost function? What is the revenue function? What is the profit function? __

Determine whether the given function is a polynomial function or rational function. State the degree, if it is polynomial function. Answer polynomial or rational. If a polynomial function, the degree is

The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by with t = 0 corresponding to the beginning of 1995. Round the answers to two decimal places, if necessary. What will be the ratio at the beginning of 2005? At the beginning of 2020?

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.

Find functions and such that .

An apple orchard has an average yield of 38 bushels of apples/tree if tree density is 21 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 21/acre, find a function in x that gives the yield of apples.

For the pair of supply and demand equations and where x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. Equilibrium quantity: thousand units Equilibrium price: $

Quiz 2: Functions, Limits, and the Derivative

Find of the functions. ​ , ​

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. ​ ​ Answer polynomial or rational. __________ ​ If a polynomial function, the degree is __________

Find of the functions. ​ , ​

Find for the function. Simplify your answer. ​ ​

Let , , and . Find the rule for the function fgh. ​

Determine whether the equation defines y as a linear function of x. Answer yes or no. ​

Let , . Find the rule for the function . ​

Find and simplify for the function. ​

A manufacturer has a monthly fixed cost of $30,000 and a production cost of $6 for each unit produced. The product sells for $25/unit. ​ What is the cost function? ​ __________ ​ What is the revenue function? ​ __________ ​ What is the profit function? ​ __________

Determine whether the given function is a polynomial function or rational function. State the degree, if it is polynomial function. ​ ​ Answer polynomial or rational. __________ ​ If a polynomial function, the degree is __________

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. ​ __________ ​ Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. ​ __________

Find functions and such that . ​ ​

An apple orchard has an average yield of 38 bushels of apples/tree if tree density is 21 trees/acre. For each unit increase in tree density, the yield decreases by 3 bushels. Letting x denote the number of trees beyond 21/acre, find a function in x that gives the yield of apples.

For the pair of supply and demand equations ​ and ​ where x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. ​ Equilibrium quantity: __________ thousand units ​ Equilibrium price: $ __________

Find of the functions. ,

Determine whether the given function is a polynomial function or rational function. State the degree, if it is a polynomial function. Answer polynomial or rational. If a polynomial function, the degree is

Find of the functions. ,

Find for the function. Simplify your answer.

Let , , and . Find the rule for the function fgh.

Determine whether the equation defines y as a linear function of x. Answer yes or no.

Let , . Find the rule for the function .

Find and simplify for the function.

A manufacturer has a monthly fixed cost of $30,000 and a production cost of $6 for each unit produced. The product sells for $25/unit. What is the cost function? What is the revenue function? What is the profit function? __

Determine whether the given function is a polynomial function or rational function. State the degree, if it is polynomial function. Answer polynomial or rational. If a polynomial function, the degree is

Find the constants m in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5. Find the constants b in the linear function f (x) = mx + b, so that f (0) = 9 and f (2) = 5.

Find functions and such that .

For the pair of supply and demand equations and where x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price. Equilibrium quantity: thousand units Equilibrium price: $