3 ft are in 1 yard
so 3/18
=1/6
Answer:
![f(x) = {x}^{3} + 16x + {x}^{2} + 16](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Bx%7D%5E%7B3%7D%20%20%2B%2016x%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%2016)
Step-by-step explanation:
We want to find the polynomial function whose zero are -1 and 4i.
Recall that non-real zeros come in pairs.
There if 4i is a zero, then the conjugate -4i is also a zero.
Therefore the factors of this polynomial are:
x+1, x+4i, and x-4i are factors of the given polynomial.
Let f(x) be the required polynomial, then we can write the polynomial in factored form as:
![f(x) = (x + 1)(x - 4i)(x + 4i)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%28x%20%2B%201%29%28x%20-%204i%29%28x%20%2B%204i%29)
We expand the conjugate pair using difference of two squares to get:
![f(x) =(x + 1) ( {x}^{2} - {(4i)}^{2} )](https://tex.z-dn.net/?f=f%28x%29%20%3D%28x%20%2B%201%29%20%28%20%7Bx%7D%5E%7B2%7D%20%20-%20%20%7B%284i%29%7D%5E%7B2%7D%20%29)
![f(x) =(x + 1) ( {x}^{2} + 16)](https://tex.z-dn.net/?f=f%28x%29%20%3D%28x%20%2B%201%29%20%28%20%7Bx%7D%5E%7B2%7D%20%2B%2016%29)
Expand further using the distributive property to get:
![f(x) = {x}^{3} + 16x + {x}^{2} + 16](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Bx%7D%5E%7B3%7D%20%20%2B%2016x%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%2016)
Answer:
The answer is 33 years.
Step-by-step explanation:
10% of 3 is .3
Just move the decimal to the left.
.3 times 33=9.9
9.9~10
It’s b because it has more marbles