Answer:
B.
f(x) and g(x) are closed under subtraction because when subtracted, the result will be a polynomial.
Step-by-step explanation:
![f(x)-g(x)\\=(a_0+a_1x+a_2x^2...+a_nx^n)-(b_0+b_1x+b_2x^2...b_mx^m)](https://tex.z-dn.net/?f=f%28x%29-g%28x%29%5C%5C%3D%28a_0%2Ba_1x%2Ba_2x%5E2...%2Ba_nx%5En%29-%28b_0%2Bb_1x%2Bb_2x%5E2...b_mx%5Em%29)
Assume m>=n WOLOG
![=(a_0-b_0)+(a_1x-b_1x)+(a_2x^2-b_2x^2)+...+(a_nx^n-b_nx^n)-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m](https://tex.z-dn.net/?f=%3D%28a_0-b_0%29%2B%28a_1x-b_1x%29%2B%28a_2x%5E2-b_2x%5E2%29%2B...%2B%28a_nx%5En-b_nx%5En%29-b_%7B%28n%2B1%29%7Dx%5E%7Bn%2B1%7D-...-b_%7Bm-1%7Dx%5E%7Bm-1%7D-b_mx%5Em)
![=(a_0-b_0)+(a_1-b_1)x+(a_2-b_2)x^2+...+(a_n-b_n)x^n-b_{(n+1)}x^{n+1}-...-b_{m-1}x^{m-1}-b_mx^m](https://tex.z-dn.net/?f=%3D%28a_0-b_0%29%2B%28a_1-b_1%29x%2B%28a_2-b_2%29x%5E2%2B...%2B%28a_n-b_n%29x%5En-b_%7B%28n%2B1%29%7Dx%5E%7Bn%2B1%7D-...-b_%7Bm-1%7Dx%5E%7Bm-1%7D-b_mx%5Em)
Are also a polynomial in general, but maybe in a different degree
Closure under subtraction means, for all polynomials, under the operation of subtraction, it also belongs to polynomials
Answer: 8
Step-by-step explanation:
Given
Lian has
and she has twice as many dimes as nickels
Suppose she has
nickels
So, the number of dimes is ![2x](https://tex.z-dn.net/?f=2x)
Nickel is equivalent to 5 cents and dime is equivalent to 10 cent
![\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4](https://tex.z-dn.net/?f=%5Ctherefore%20%5C%20x%280.05%29%2B2x%280.1%29%3D1%5C%5C%5CRightarrow%200.05x%2B0.2x%3D1%5C%5C%5CRightarrow%200.25x%3D1%5C%5C%5CRightarrow%20x%3D4)
Therefore she has 8 dimes with her.
Answer: 6/8 or 3/4 or 0.75
Step-by-step explanation:
150%. since you already have 6, that's 100%. the extra 3 is half of the 6, meaning that it would be 50%