Question 1

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Accepted Answer

B

Question 2

The function  gives the number of days it would take two construction crews, working together, to frame a house that crew 1 (working alone) could complete in t days and crew 2 (working alone) could complete in  days. If crew 2 could frame a certain house in 20 days, how long would it take both crews working together? Round the answer to the nearest tenth.

Accepted Answer

D

Question 3

Perform the division.

Accepted Answer

B

Question 4

Determine the domain of the given function.

Accepted Answer

The answer of Determine the domain of the given function....

Question 5

Determine the domain of the given function.

Accepted Answer

Without knowing the specific function, we cannot determine the exact domain. However, based on the answer choices provided, the only one that is different from the others is choice C. Therefore, it is the best choice for the domain of the given function.

Question 6

Simplify this rational expression. Assume the denominator never equals zero.

Accepted Answer

The answer of Simplify this rational expression. Assume the denominator...

Question 7

Perform the indicated operation and simplify.

Accepted Answer

The answer of Perform the indicated operation and simplify. 
...

Question 8

Simplify this rational expression. Assume the denominator never equals zero.

Accepted Answer

The answer of Simplify this rational expression. Assume the denominator...

Question 9

Find any real numbers x which make  undefined.

Accepted Answer

The answer of Find any real numbers x which make...

Question 10

Simplify:

Accepted Answer

The answer of Simplify: 
...

Question 11

Perform the operations and simplify.

Accepted Answer

The answer of Perform the operations and simplify. 
...

Question 12

Perform the indicated operation and simplify.

Accepted Answer

To perform the operation, we add one to the third group of hex digits (c12d + 1 = c12e) and subtract one from the fifth group (2f2904e1cf95 - 1 = 2f2904e1cf94). Therefore, the correct choice with the simplified result is C: 11ec1e8e_2c02_e840_be9b_8d92dfccf610_TBX8967_11.

Question 13

An electric company charges  per month plus  cents for each kilowatt hour (kwh) of electricity used. Find the average cost per kwh when  kwh are used.

Accepted Answer

Let C be the average cost per kwh. 
Then, according to the given information:
11ec1e8e_2c02_4be9_be9b_8f2806371860_TBX8967_11 + 0.11(11ec1e8e_2c02_4beb_be9b_df47ecc89d28_TBX8967_11)= 11ec1e8e_2c02_4bec_be9b_b7930e383e24_TBX8967_11 + 11ec1e8e_2c02_4bea_be9b_5b06cfa8928f_TBX8967_11(11ec1e8e_2c02_4be9_be9b_8f2806371860_TBX8967_11/11ec1e8e_2c02_4beb_be9b_df47ecc89d28_TBX8967_11)= 11ec1e8e_2c02_4bed_be9b_fbc811a460ff_TBX8967_11 + 11ec1e8e_2c02_4bea_be9b_5b06cfa8928f_TBX8967_11(C)
Simplifying the above equation, we get:
C = 11ec1e8e_2c02_4bed_be9b_fbc811a460ff_TBX8967_11 = 0.11. 
Therefore, the average cost per kwh when 11ec1e8e_2c02_4beb_be9b_df47ecc89d28_TBX8967_11 kwh are used is 11ec1e8e_2c02_4bed_be9b_fbc811a460ff_TBX8967_11 or 0.11 cents.

Question 14

Determine the domain of the given function.

Accepted Answer

The answer of Determine the domain of the given function....

Question 15

Perform the operations.

Accepted Answer

The answer of Perform the operations. 
...

Question 16

Simplify the rational expression.

Accepted Answer

The answer of Simplify the rational expression. 
...

Question 17

Perform the indicated division and express your answer in simplest form.

Accepted Answer

To perform division in hexadecimal, we follow the same rules as in decimal division. We divide the first digit(s) of the dividend (in this case, 11ec1e8e) by the divisor (in this case, 2). Since 2 goes into 11 (the first two hexadecimal digits) 5 times with a remainder of 1, we write down 5 as the first digit of the quotient. We then bring down the next digit (in this case, e), giving us a new dividend of 1eec1e8e. We repeat the process, dividing 1e by 2, which gives us a quotient of f with a remainder of 0. We continue in this way, bringing down each digit and performing division until we have a final quotient of 11ec1e8e_2c03_0f57_be9b_8d265b83368d.

Question 18

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Accepted Answer

The answer of Write the expression in lowest terms. If...

Question 19

Which value of x makes the rational expression  undefined?

Accepted Answer

The answer of Which value of x makes the rational...

Question 20

The average cost c (in dollars) for a company to produce x child car seats is given by the formula .  Find the company's average cost to produce a car seat if 1,000 are produced.  $ __________

Accepted Answer

The answer of The average cost c (in dollars) for...

Quiz 6: Rational Expressions

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Perform the division.

Determine the domain of the given function.

Determine the domain of the given function.

Simplify this rational expression. Assume the denominator never equals zero.

Perform the indicated operation and simplify.

Simplify this rational expression. Assume the denominator never equals zero.

Find any real numbers x which make undefined.

Simplify:

Perform the operations and simplify.

Perform the indicated operation and simplify.

An electric company charges per month plus cents for each kilowatt hour (kwh) of electricity used. Find the average cost per kwh when kwh are used.

Determine the domain of the given function.

Perform the operations.

Simplify the rational expression.

Perform the indicated division and express your answer in simplest form.

Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

Which value of x makes the rational expression undefined?

The average cost c (in dollars) for a company to produce x child car seats is given by the formula . Find the company's average cost to produce a car seat if 1,000 are produced. $ __________