So what I think you do is that yu have to simplify or divide. Good luck! - from: a 7th grader
In 1414 hours it covered 700 miles
In 1 hour it would have covered (700/1414) mile
In 33 hours it will then cover : 700/1414 * 33 = 16.34
So in 33 hours it will cover ≈ 16.34 miles.
Answer:
(9, 6)
Step-by-step explanation:
the given points are
(3, 2)
(6, 4)
so, can you see, how the sequence continues ?
I see immediately that for every 3 additional units of x we add 2 units of y.
so, yes, the next point in the sequence is
(6 + 3, 4 + 2) = (9, 6).
so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.
in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).
For
![|5x|](https://tex.z-dn.net/?f=%7C5x%7C%3C1)
, we have
![\dfrac1{1-5x}=\displaystyle\sum_{n\ge0}(5x)^n](https://tex.z-dn.net/?f=%5Cdfrac1%7B1-5x%7D%3D%5Cdisplaystyle%5Csum_%7Bn%5Cge0%7D%285x%29%5En)
and so
![g(x)=\dfrac{15}{1-5x}=15\displaystyle\sum_{n\ge0}(5x)^n=3\sum_{n\ge0}5^{n+1}x^n](https://tex.z-dn.net/?f=g%28x%29%3D%5Cdfrac%7B15%7D%7B1-5x%7D%3D15%5Cdisplaystyle%5Csum_%7Bn%5Cge0%7D%285x%29%5En%3D3%5Csum_%7Bn%5Cge0%7D5%5E%7Bn%2B1%7Dx%5En)
which is, again, only valid for
![|5x|](https://tex.z-dn.net/?f=%7C5x%7C%3C1)
.
Answer:
![5xy^3 \sqrt{3x}](https://tex.z-dn.net/?f=5xy%5E3%20%5Csqrt%7B3x%7D)
Step-by-step explanation:
The radical
can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.
![\sqrt{75x^3y^6} =\sqrt{3*25*x^2*x*y^6} =5xy^3 \sqrt{3x}](https://tex.z-dn.net/?f=%5Csqrt%7B75x%5E3y%5E6%7D%20%3D%5Csqrt%7B3%2A25%2Ax%5E2%2Ax%2Ay%5E6%7D%20%3D5xy%5E3%20%5Csqrt%7B3x%7D)
25 is a perfect square and is 5 outside the radical.
is a perfect square and is x outside the radical.
is a perfect square and is
outside the radical.