4 + 3x = 3х + 5 4 = 5
1 answer:
You might be interested in
Answer:
2 pieces
Step-by-step explanation:
Given
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
Convert mixed numbers to improper fraction
Change division to multiplication
<em></em><em> </em>
<h3>Answer: -7 < x < 17</h3>
====================================================
Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
-----------------------
In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
Answer:
If the actual width is 36 feet, then the tent is 3 inches wide in scale.
Step-by-step explanation:
Let x be the width in inches.
The scale is: 1 inch : 12feet. The scale can be represented as inches to feet ratio and then equivalent ratios will be used
This can be expressed as fraction as 1/12
The equivalent ratios are:
Hence,
If the actual width is 36 feet, then the tent is 3 inches wide in scale.