It’s a positive slope, constant slope, and increasing function. Because it’s a straight line going diagonally to the top right, you know the slope is positive, constant, and the function is positive.
Of the following numbers: 36, 56, 78, 98, 100, 1,000, 5,000, 10,000, 100,000, 500,000; what is the range.
Lubov Fominskaja [6]
Answer:
the is x 10
Step-by-step explanation:
Hi there! The answer is y = 1/6x + 1/2
To find the inverse function x and y need to switch places.
![y = 6x - 3 \\ x = 6y - 3](https://tex.z-dn.net/?f=y%20%3D%206x%20-%203%20%5C%5C%20x%20%3D%206y%20-%203)
Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
![x = 6y - 3](https://tex.z-dn.net/?f=x%20%3D%206y%20-%203)
Add 3.
![x + 3 = 6y](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%206y)
Switch sides.
![6y = x + 3](https://tex.z-dn.net/?f=6y%20%3D%20x%20%2B%203)
Divide both sides by 6.
![y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20%20x%2B%20%20%5Cfrac%7B3%7D%7B6%7D%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
I believe that the answer is 14 or 7
Question
x+5/x+2 - x+1/x²+2x
Answer:
= (x² - 4x - 1)/[x (x+2)]
= (x² - 4x - 1)/[x² + 2x]
Step-by-step explanation:
x + 5/x + 2 - x + 1/x² + 2x
We factorise the second denominator to give us :
x + 5/x + 2 - x + 1/x(x + 2)
We find the L.C.M of both denominators which is x(x+2).
[x(x + 5)-(x + 1)] / (x (x + 2))
Expand the bracket
=[x² +5x - x -1] / [x (x + 2)]
=(x² - 4x - 1) / [x (x + 2)]
= (x² - 4x - 1)/ [x (x + 2)]
= (x² - 4x - 1) / [x² + 2x]