Answer:
The restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Step-by-step explanation:
As we know that
There are two genuine reasons why domains are restricted.
We cannot divide the expression by 0 as it would be undefined then.
We cannot take the square root of a negative number, as the result will not be a defined.
Considering the expression
As we can not put x = 0 in the denominator as it would make the expression undefined.
In other words, the certain values which make the denominator equal to zero for a rational expression will be restricted values.
Hence, the restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
2/3 is irrational, since as a decimal, it never ends. The number would be .66666 repeating.
The 4 on the left side is 10x more than the 4 on the right. This only works if the numbers are next to each other and are the same.
2 is the answer because 2=2 but 2 doesn’t =0.
Answer:
The rates are 1/2 yards per hour
Step-by-step explanation:
Here, we want to calculate the rate of change in the amount of yarn
We start by calculating the difference between what we had initially and what we have now
That will be;
3 3/4 - 1 1/8
= 15/4 - 9/8 = 21/8 yards
So we now divide this by the number of hours
21/8 yards divided by 51/4
= 21/8 * 4/21 = 1/2 yards per hour