Answer:
Here,
Jonny had apples= 18
His sister collected apples more than Jonny= 19
His sister has = 18+19
= 37
Therefore, Jonny's sister has 37 apples.
There are several assumptions that we must do in order to answer this question.
First of all, we must assume that both functions grow to infinity. In fact, if
and
with
, you simply have
![\displaystyle \lim_{x \to \infty} \dfrac{g(x)}{f(x)} = \dfrac{l_g}{l_f}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cdfrac%7Bg%28x%29%7D%7Bf%28x%29%7D%20%3D%20%5Cdfrac%7Bl_g%7D%7Bl_f%7D%20)
Secondly, we must assume that
grows asymptotically slower than
. Otherwise, you might choose
![g(x) = x,\ f(x) = x+1 \implies g(x) < f(x) \forall x](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20x%2C%5C%20f%28x%29%20%3D%20x%2B1%20%5Cimplies%20g%28x%29%20%3C%20f%28x%29%20%5Cforall%20x%20)
but you would have
![\displaystyle \lim_{x \to \infty} \dfrac{g(x)}{f(x)} = 1](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cdfrac%7Bg%28x%29%7D%7Bf%28x%29%7D%20%3D%201%20)
If instead
is asymptotically slower than
, by definition of being asymptotically slower you have
![\displaystyle \lim_{x \to \infty} \dfrac{g(x)}{f(x)} = 0](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Cdfrac%7Bg%28x%29%7D%7Bf%28x%29%7D%20%3D%200%20)
Answer: 10 or -10
Step-by-step explanation: 3x + 12 = -18
-12 both sides then you get 3x = -30 divide by 3 which equals x = 10 or -10
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is ![X={\{1,3,5,7...}\}](https://tex.z-dn.net/?f=X%3D%7B%5C%7B1%2C3%2C5%2C7...%7D%5C%7D)
Let Y=set of all even numbers
that is ![Y={\{2,4,6,8...}\}](https://tex.z-dn.net/?f=Y%3D%7B%5C%7B2%2C4%2C6%2C8...%7D%5C%7D)
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Answer:
Step-by-step explanation:
First of all we have to use cos.
cos (30) is √3/2
so (7√3)/(√3/2)
7√3 * 2/√3 = 14√3/√3
(14√3 * √3 )/ 3
42/3 = 14
<u>I AM ASSUMING THIS QUESTION IS NON CALC.</u>
The answer should be 14.