<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is 
and 
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at 
the output is:
So the point 
lies on both lines.
For this new line, the slope is 
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>
The graph of the linear function 
is a line with slope 
and 
at 
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are:
Answer:
<em>(C). {3} </em>
Step-by-step explanation:
= 
+ 
( x ≠ - 1 )
- + = 0
- 
= 0
= 0 ⇒ <em>x = 3</em>
Answer:
113.04
Step-by-step explanation:
6*6=36
36*3.14=113.04
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.
9 + 9 = 18
42 - 18 = 24
So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.
24 / 2 = 12
The length of Kate's jewelry box is 12 inches.
Hope that helped =)
Answer:
Volume = 144 in.³
Step-by-step explanation:
Given:
Length = 9 in.
Width = 4 in.
Height = 4 in.
Required:
Volume
Solution:
Volume of a box = length * height * width
Volume = 9*4*4
= 144 in.³
