Answer:
the answer is -31/20
Step-by-step explanation:
I believe it would be 38.1
The fully factored polynomial is −3(x−6)(x+6).
Answer:
x = 9
Step-by-step explanation:
Given
5x - 31 = 23 - x ( add x to both sides )
6x - 31 = 23 ( add 31 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9
Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.
Step-by-step explanation:
Since we have given that
Integers between 10000 and 99999 = 99999-10000+1=90000
n( divisible by 3) = ![\dfrac{90000}{3}=30000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B3%7D%3D30000)
n( divisible by 5) = ![\dfrac{90000}{5}=18000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B5%7D%3D18000)
n( divisible by 7) = ![\dfrac{90000}{7}=12857.14](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B7%7D%3D12857.14)
n( divisible by 3 and 5) = n(3∩5)=![\dfrac{90000}{15}=6000](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B15%7D%3D6000)
n( divisible by 5 and 7) = n(5∩7) = ![\dfrac{90000}{35}=2571.42](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B35%7D%3D2571.42)
n( divisible by 3 and 7) = n(3∩7) = ![\dfrac{90000}{21}=4285.71](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B21%7D%3D4285.71)
n( divisible by 3,5 and 7) = n(3∩5∩7) = ![\dfrac{90000}{105}=857.14](https://tex.z-dn.net/?f=%5Cdfrac%7B90000%7D%7B105%7D%3D857.14)
As we know the formula,
n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)
![=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15](https://tex.z-dn.net/?f=%3D30000%2B18000%2B12857.14-6000-2571.42-4258.71%2B857.14%5C%5C%5C%5C%3D48884.15)
Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.