Answer:
X=-1
Step-by-step explanation:
3x-5=-8(6+5x)
3x-5=-48-40x
43=-43x
-1=x
Answer:
Step-by-step explanation:
Let A, B and C be square matrices, let
. Suppose also that D is an invertible square matrix. Since D is an invertible matrix, then
. Now,
. Therefore,



which proves that A, B and C are invertible square matrices.
Answer:
<u>Up</u>. The focus is above the vertex meaning the parabola will open up. If the focus was below the parabola then it would open down.
Step-by-step explanation:
Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by 
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒
∝ ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.