Answer:
W = 9 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by

Where
w,h and l re width, height and length of rectangular prism
It is not mentioned that a box has a length of 18 inches and a height of 3 inches.
Using above formula.

So, the width of the box is 9 inches.
Answer:
2
Step-by-step explanation:
y=|x|-4
y=|-6|-4
y=6-4
y=2
(x,y) -> (-6,2)
Answer:
See attached
Step-by-step explanation:
The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).
From inspection of the given tables, the <u>linear equations</u> for each table of points is:
- Table 1: y = x + 1
- Table 2: y = x/2
- Table 3: y = x + 2
- Table 4: y = 2x + 1
The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.
Given points from Table 2:
To <u>graph the line</u>, plot the given points and draw a line through them (see attached).
Answer:
Step-by-step explanation:
Given that,
Rate of change of a function
1. From x = 1 to x = 4
2. From x = 5 to x =8
Then,
Rate of change for first condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (4-1) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
Rate of change for second condition
∆x/∆t = (x2-x1) / (t2-t1)
∆x/∆t = (8-5) / (t2-t1)
∆x/∆t = 3 / (t2-t1)
The rate of change are equal, it shows that the slope are equal.
So, it is a straight line function.
Since it has equal rate of change..
Answer:
This is a geometric sequence since there is a common ratio between each term. in this cade, multiplying the previous term in the sequence by 1/4 gives the next term.
Step-by-step explanation: