38= 19+19.................
Answer:
The required factors are: x, (x + 6) and (x - 3).
Step-by-step explanation:
As per the question,
The given polynomial is:

Now,
BY factorization, we get


By splitting the mid-term, that is split 3x like:
3x = 6x - 3x
Therefore,

Now on further solving by taking common factor out, we get
![=x[x(x+6)-3(x+6)]](https://tex.z-dn.net/?f=%3Dx%5Bx%28x%2B6%29-3%28x%2B6%29%5D)

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial
.
Hence, the given polynomial has three factor x, (x + 6) and (x - 3).
Answer:
Range of the average number of tours is between 150 and 200 including 150 and 200.
Step-by-step explanation:
Given:
The profit function is modeled as:

The profit is at least $50,000.
So, as per question:

Now, rewriting the above inequality in terms of its factors, we get:

Now,
![x0\\x>200,(x-150)(x-200)>0\\For\ 150\leq x\leq200,(x-150)(x-200)\leq 0\\\therefore x=[150,200]](https://tex.z-dn.net/?f=x%3C150%2C%28x-150%29%28x-200%29%3E0%5C%5Cx%3E200%2C%28x-150%29%28x-200%29%3E0%5C%5CFor%5C%20150%5Cleq%20x%5Cleq200%2C%28x-150%29%28x-200%29%5Cleq%200%5C%5C%5Ctherefore%20x%3D%5B150%2C200%5D)
Therefore, the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000 is between 150 and 200 including 150 and 200.
Answer: C≈6.28
Step-by-step explanation:
C=2π r=2· π ·1≈6.28319
Therefor, the answer is 6.28
* hopefully this helps:)Mark me the brainliest:)
So it's 8√2 cause you do c=a/h and manipulate the formula for 8/cos45 :)