The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(
1 answer:
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Answer:
Step-by-step explanation:
So we have the expression:
To simplify, simply combine the like terms. Therefore:
Further notes:
To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:
Now, factor out a y from the three terms:
Do all the operations inside the parenthesis:
And we moved the y back to the front!
This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!
Answer:
y = 1/4 x - 1/2
Step-by-step explanation:
Remark
The general equation for a line is y = mx + b
You know that m = 1/4. The problem is what do you do about (2,0)?
Solution
y = 1/4 x + b Let x = 2 when y = 0
0 = 1/4 * 2 + b multiply 2 * 1/4
0 = 1/2 + b Subtract 1/2 from both sides
b = - 1/2
equation y = 1/4 x - 1/2
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