ANSWER
The turning point is

EXPLANATION
The function given to us is

At turning point,

So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,

We equate this to zero to obtain,

We divide through by 3.

We solve for x to get,


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.



Therefore the turning point is

C is the correct answer.
It costs $189-(4×$20) which is $189-$80=$109
If you would like to simplify <span>7 - 3[(n^3 + 8n) / (-n) + 9n^2], you can do this using the following steps:
</span>7 - 3[(n^3 + 8n) / (-n) + 9n^2] = 7 - 3[(-n^2 - 8) + 9n^2] = 7 - 3[-n^2 - 8 + 9n^2] = 7 - 3[ - 8 + 8n^2] = 7 - 3[8<span>n^2 - 8] = 7 - 24n^2 + 24 = - 24n^2 + 31
</span>
The correct result would be <span>- 24n^2 + 31.</span>
Answer:
$172.80
Step-by-step explanation:
$160.00 x 1.08=$172.80
Answer:
The wavelength, of a sound wave with a frequency of 20 waves per second is 15,000,000 m.
Step-by-step explanation:
In this question, we have to calculate the wavelength of a sound wave of frequency 20 waves per second.
We know that the speed of light in air/ vacuum is
.
Now by the formula v = nλ , where v = speed of light in air/vacuum, n = frequency of the wave and λ = wavelength in meters,
we put the values
= 20 × λ
λ = 
λ = 15,000,000 m