17

7t2 – 14t

4t2 – 9

36 – w2

w

Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.

Find the domain for each of your two rational expressions.

Write the domain of each rational expression in set notation (as demonstrated in the example).

Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.

Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.Domain

Excluded value

Set

Factor

Real numbers

Your initial post should be at least 250 words in length.

# Category: Algebra

## What is the Domain of the following logarithmic functions? 1) f(x) = log(3x – 21

What is the Domain of the following logarithmic functions?

1) f(x) = log(3x – 21)

2) f(x) = log(2x + 16)

3) f(x) = log2 (x – 2)

Perform the operations:

4) log2 4 + log4 2 =

5) log 1000 + ln e5 =

Solve the equation:

6) x2 = log 100 + 90

7) Make a paragraph about an application of the Logarithmic Function to the real life and its importance.

On all the exercises show your work step-by-step.

## What is the Domain of the following logarithmic functions? 1) f(x) = log(3x – 21

What is the Domain of the following logarithmic functions?

1) f(x) = log(3x – 21)

2) f(x) = log(2x + 16)

3) f(x) = log2 (x – 2)

Perform the operations:

4) log2 4 + log4 2 =

5) log 1000 + ln e5 =

Solve the equation:

6) x2 = log 100 + 90

7) Make a paragraph about an application of the Logarithmic Function to the real life and its importance.

On all the exercises show your work step-by-step.

## There are 8 fruits in all in a basket which contains mangoes, papayas and waterm

There are 8 fruits in all in a basket which contains mangoes, papayas and watermelons. The cost of each kind of fruits are Php 12.00, Php 25.00 and Php 50.00, respectively. Find the total cost of the mangoes if all the fruits has a total cost of Php 198.00

## Complete your required discussion prompt: A Linear Equation is a rule that assig

Complete your required discussion prompt:

A Linear Equation is a rule that assigns to each number x on the x-axis exactly one number y on the y – axis so that the ordered pairs (x,y) form a line. We call y the Dependent Variable and we call x the Independent Variable because the value assigned to y by the linear equation will depend on the value selected for x.

Now consider this scenario: we can burn 4 calories by walking 100 steps. The linear equation modeling this scenario is C=0.04*S where C is the dependent variable and S is the independent variable. Here, C represents calories burned for some number of steps S walked.

You will create a new linear model that shows the amount of calories burned in a given day during some activity you choose, compensating for food intake. Produce a model with a reasonable rate of calorie burn for walking, running, or some other activity, and account for a daily calorie intake between 1200 and 3000 calories. Be sure to describe the detailed scenario for which your equation models. Conclude your post by rewording the following questions to fit your scenario:

1) How many calories have been burned after 1 typical session of activity?

2)How much activity does it take to burn all the calories eaten in one day?

For your peer responses, you will discuss each other’s linear model and answer your peer’s questions.

Here is a sample initial post :

Jumping jacks can burn about 480 calories per hour. Then, the linear equation modeling this is C = 480T where C is calories burned for T hours of this exercise. How many calories can we burn by doing this exercise for 3 hours? How long do we need to do this exercise to burn all the calories eaten in one day?

You are required to submit your initial post within three days and at least two (2) peer responses within seven days. You need to spread your posts on different days of the week.

Initial Post : Search online to find out how many calories you can burn by doing the exercise of your choice. Then, write a problem similar to the above sample problem as your initial post.

Peer Response 1 : Answer your peer’s linear model questions.

Peer Response 2 : Provide feedback to the student who answered your questions. If no one answers your question by the day before the due date, you need to post answers to your own question.