Answer:
![\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18](https://tex.z-dn.net/?f=%5Ctext%7BPossible%20rational%20zeros%7D%3D%5Cpm1%2C%5Cpm%5Cfrac%7B1%7D%7B2%7D%2C%5Cpm2%2C%5Cpm3%2C%5Cpm%5Cfrac%7B3%7D%7B2%7D%2C%5Cpm6%2C%5Cpm9%2C%5Cpm%5Cfrac%7B9%7D%7B2%7D%2C%5Cpm18)
Step-by-step explanation:
We have been given the function
![f(x)=-2x^2+4x^3+3x^2+18](https://tex.z-dn.net/?f=f%28x%29%3D-2x%5E2%2B4x%5E3%2B3x%5E2%2B18)
From the rational zeros theorem, we have
![\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}](https://tex.z-dn.net/?f=%5Ctext%7BPossible%20rational%20zeros%7D%3D%5Cpm%5Cfrac%7B%5Ctext%7BFactors%20of%20constant%20term%7D%7D%7B%5Ctext%7BFactors%20of%20leading%20coefficient%7D%7D)
From the given function,
Leading coefficient = 2
Factors of 2 are 1,2
Constant term = 18
Factors of constant term = 1, 2, 3, 6, 9, 18
Hence, we have
![\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18](https://tex.z-dn.net/?f=%5Ctext%7BPossible%20rational%20zeros%7D%3D%5Cpm%5Cfrac%7B1%2C2%2C3%2C6%2C9%2C18%7D%7B1%2C2%7D%5C%5C%5C%5C%5Ctext%7BPossible%20rational%20zeros%7D%3D%5Cpm1%2C%5Cpm%5Cfrac%7B1%7D%7B2%7D%2C%5Cpm2%2C%5Cpm3%2C%5Cpm%5Cfrac%7B3%7D%7B2%7D%2C%5Cpm6%2C%5Cpm9%2C%5Cpm%5Cfrac%7B9%7D%7B2%7D%2C%5Cpm18)
Answer:
4/6
Step-by-step explanation:
x2
hope it helps
Answer:
$1200
Step-by-step explanation:
There are 2 ways I immediately think about to solving the problem.
1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)
This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).
2) You multiply 200 by .20 , then multiply the product by 30.
This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).
The answer is 439.
3+(1/(7+1/15) = 333/106
333+ 106 = 439.