Reduce to simplest form. -\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=− 8 7 −(− 6 5 )=minus, start fraction, 7, divided by, 8, e
2 answers:
Answer:
Step-by-step explanation:
We are required to reduce the expression below to its simplest form
<u>STEP 1: </u>Remove the brackets
Take note that the product of same sign(- and -) will give you the addition sign.
<u>STEP 2:</u> Find the Lowest Common Multiple of 8 and 6
Lowest Common Multiple of 8 and 6 is 24
<u>STEP 3:</u> Use the LCM to Simplify
Therefore:
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We must recall that a horizontal asymptote is the value/s of y that the given function approaches to but never reaches. To find this in a rational function, we compare the expressions with highest degree in the numerator and denominator. There are three possible outcome when this happens.
1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.
2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.
3. if they have the same highest degree, then we just get the quotient of their coefficient.
Now, going back to our function, we have
From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.
Answer: y = 0
1. if the highest degree (highest exponent) in the numerator is bigger than that of the denominator, then there won't be any horizontal asymptote.
2. if the highest degree in the denominator is bigger, then the horizontal symptote would be y = 0.
3. if they have the same highest degree, then we just get the quotient of their coefficient.
Now, going back to our function, we have
From this we can see that the highest degree in the numerator is 1 (from 2x) and 2 (from x²) for the denominator. Clearly, it shows that its denominator has a higher degree. And from our discussion, we can conclude that the horizontal asymptote would be y = 0.
Answer: y = 0