Answer:

Step-by-step explanation:
√2=1.41
So, the smallest possible interval will be 1.40 and 1.42
√3=1.73
So, the smallest possible interval will be 1.72 and 1.74
√4=2.00
So, the smallest possible interval will be 1.99 and 2.01
√5=2.24
So, the smallest possible interval will be 2.23 and 2.25
√6=2.45
So, the smallest possible interval will be 2.44 and 2.46
Answer:
B (2, 4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is given and is equal to

so
The linear equation is given by

That means ----> the y-coordinate is two times the x-coordinate
therefore
The other point is B(2.4)
Because
For x=2, y=4
the y-coordinate is two times the x-coordinate

Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
Your inequality looks like this:

To get rid of the /6, you need to multiply by 6 as the opposite operation cancels it out. So, all you need to do is multiply both sides by 6 to isolate x.
Therefore: