Answer: 5/24
Explanation: To subtract unlike fractions such as 7/8 - 2/3, first find a common denominator. The common denominator of 8 and 3 will be the least common multiple of 8 and 3 which is 24.
To get a 24 in the denominator of 7/8, we multiply both the numerator and the denominator by 3 to get 21/24.
To get a 24 in the denominator of 2/3, we multiply both the numerator and the deliminator by 8 and to get 16/24.
Now we are subtracting like fractions since both fractions have the same denominator or bottom number of 16.
To subtract like fractions, we simply subtract the numerators and keep the same denominator. So here, we have 21/24 - 16/24 which is 5/24.
Since 5/24 is in lowest terms, it's our final answer.
This means that 7/8 - 2/3 is 5/24.
Yes, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.
<h3>Steps in finding inverse of a function</h3>
The steps include;
- Replace f(x)with y in the equation of the function
- Interchange x and y in the function
- Replace y with f-1(x) in the function
A property of horizontal line is that if it intersects the graph of a function more that on way, then 'f' does not have an inverse.
If no horizontal line intersects the graph , 'then f' does have an inverse.
Thus, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.
Learn more about horizontal line test here:
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0.6 pounds because you would divide 3 by 5 and get 0.6