After moving all the terms to the right of the equation and solving you would get A = -36/49. Hope this helps!
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
![f(x) = \frac{2x - 1}{x^{2} - 7x + 3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B2x%20-%201%7D%7Bx%5E%7B2%7D%20-%207x%20%2B%203%7D)
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
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left
![6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140](https://tex.z-dn.net/?f=6000-10x%3D860%5C%5C6000-860%3D10x%5C%5C5140%3D10x%5C%5C10x%3D5140)
Dividing both sides by 10
![\frac{10x}{10}=\frac{5140}{10}\\x=514](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%3D%5Cfrac%7B5140%7D%7B10%7D%5C%5Cx%3D514)
There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Y = mx + b
m represents the slope
b represents the y intercept
Answer is (D) because 2/6 = 0.33333333333333333333………..