For a variable to vary directly to another is telling you to set up a proportion
v/g = v/g
36/4 = v/11
4v = 396
v = 99
Answer: Yes it is rational
Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.
In this case, p = 333 and q = 106.
Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
<u>8th</u><u> term </u>= a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → <u>Sum </u><u>5</u><u> </u>terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484
36 - 100%43 - x %
we multiply by cross -> 36 * x = 100 / 43
we should remove '100%' from new value, because we find only increase.. no new value in percent.
x + 100 = (43 * 100)/36
x = 4300/36 - 100x = 119+ 16/36 -100x = 19 +4/9
the answer is
19.44% increase
Final Answer: ![y = \frac{1}{3}x + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%204)
Steps/Reasons/Explanation:
There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.
<u>Step 1</u>: Substitute slope from the original line (
in this case) into the slope-intercept equation.
![y = \frac{1}{3}x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20b)
<u>Step 2</u>: Substitute the given point
into the x and y values.
![y = \frac{1}{3}x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20b)
![3 = \frac{1}{3}(-3) + b](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28-3%29%20%2B%20b)
<u>Step 3</u>: Solve for b (the y-intercept).
![3 = \frac{1}{3}(-3) + b](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28-3%29%20%2B%20b)
![3 = -1 + b](https://tex.z-dn.net/?f=3%20%3D%20-1%20%2B%20b)
=
![b](https://tex.z-dn.net/?f=b)
![4 = b](https://tex.z-dn.net/?f=4%20%3D%20b)
<u>Step 4</u>: Substitute this value for b in the slope-intercept form equation.
![y = \frac{1}{3}x + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%204)
~I hope I helped you :)~