Which expression is equivalent to 3(m − 3) + 4? 3m + 1 3m − 5 3m + 13 3m − 3
2 answers:
So let's simplify this problem using the distributive property.
The first thing we want to do is change the minus to plus a negative. Now we can distribute or multiply this 3 times each of the terms inside the set of parentheses.
So we get 3 (m) + 3 (-3) + 4 and this simplifies to 3m + -5.
3m + -5 means the same exact thing as 3m - 5.
Work is also attached in the image below.
You might be interested in
The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.
- <em>The linear equation of the function is: </em>
<em>.</em>
- <em>The inverse function is: </em>
<em> .</em>
- <em>A practical domain is from 0% to 100%</em>
- <em>A practical range is from 7 to 29.9 </em>
<u>A. Input quantity</u>
The input quantity is the percentage of frozen citrus crop
<u />
<u>B. Output quantity </u>
The output quantity is the cost of box of oranges
<u>C. The linear function</u>
We have:
<em>Calculate the slope of the function</em>
<em>The linear equation is calculated as follows:</em>
<u>D. Rewrite as y = mx + b</u>
We have:
Collect like terms
<em>The function is:</em>
<u>E. A practical domain</u>
The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.
The domain of the function is:
<u>F. A practical range</u>
When P = 0%
When P = 100%
Hence, the range of the function is:
G. The meaning of
The inverse function of g(P) is
So:
is the percentage of frozen citrus crop, when the cost is $12.
<u>H. The inverse formula</u>
We have:
Subtract 7 from both sides
Make P the subject
So, the inverse formula is:
Substitute 12 for c
Read more about linear equations at: