Answer:
The missing length is 2x+5
Step-by-step explanation:
Given equation of volume of cuboid is V= ![2x^{3} +17x^{2} +46x+40](https://tex.z-dn.net/?f=2x%5E%7B3%7D%20%2B17x%5E%7B2%7D%20%2B46x%2B40)
Figure show that
Length of cuboid is ?
Width of cuboid is (x+4)
Height of cuboid is (x+2)
The volume of cuboid is given by
V=Length x Width x Height
Let Length be (bx+a)
The volume of cuboid will be
![V=(bx+a)(x+4)(x+2)](https://tex.z-dn.net/?f=V%3D%28bx%2Ba%29%28x%2B4%29%28x%2B2%29)
![V=(bx+a)[x^{2}+4x+2x+8 ]](https://tex.z-dn.net/?f=V%3D%28bx%2Ba%29%5Bx%5E%7B2%7D%2B4x%2B2x%2B8%20%5D)
![V=bx[x^{2}+6x+8]+a[x^{2}+6x+8]](https://tex.z-dn.net/?f=V%3Dbx%5Bx%5E%7B2%7D%2B6x%2B8%5D%2Ba%5Bx%5E%7B2%7D%2B6x%2B8%5D)
![V=[bx^{3}+6bx^{2}+8bx]+[ax^{2}+6ax+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B6bx%5E%7B2%7D%2B8bx%5D%2B%5Bax%5E%7B2%7D%2B6ax%2B8a%5D)
![V=[bx^{3}+(6b+a)x^{2}+(8b+6a)x+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B%286b%2Ba%29x%5E%7B2%7D%2B%288b%2B6a%29x%2B8a%5D)
On comparing coefficient with given equation of volume
We get,
b=2 and 8a=40
Therefore, the value of a is 5 and b is 2
Thus, The missing length is bx+a=2x+5
Answer: You need to put the same shape as it shows there on the top.
Step-by-step explanation: I hope this helped you.
Answer:
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Step-by-step explanation:
Answer:
The green dots in this picture would be where the points go:
g(x)=3x^2-2(x+7)/2x+5
g(-1)=3(-1)^2-2(-1)+7/2(-1)+5
Do the numerator first
(3)(-1)(-1)-2(-1)+7
3+2+7
=12
2(-1)+5
-2+5
=3
Numerator= 12 , Denominator=3
Numerator/ Denominator = 12/3=4
Answer: g(-1)=4