The box was filled with exactly 125 unit cubes because volume means it has to be filled.
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(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1
(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13
(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42
(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = ![\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B4m%2Bn%28-4%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B8-24%7D%7B2%2B6%7D)
= -![\frac{16}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B8%7D)
= -2
and y = ![\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5B7m%2Bn%28-9%29%5D%7D%7Bm%2Bn%7D%3D%5Cfrac%7B14-54%7D%7B2%2B6%7D)
= ![-\frac{40}{8}](https://tex.z-dn.net/?f=-%5Cfrac%7B40%7D%7B8%7D)
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
Answer:
The degree of polynomial is 5.
Step-by-step explanation:
I suppose the polynomial is
. To find the which degree this polynomial is, we consider the highest exponent of the term which is
, the 5 is our highest degree of the term and thus, 5 is our highest degree of polynomial.
Answer: You have to fill in 75% of the figure.
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