Answer:
We can predict the vertex point of
by vectorial sum, which is equal to
.
Step-by-step explanation:
The vertex of
is equal to the vectorial sum of the vertex of
and the translation vector:
(1)
Where
is the translation vector.
If we know that
and
, then the formula for the vertex of
is:


Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:

monthly revenue:

profit function:


i) remove the first bracket

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

iii) collect like terms

iv) simply the like terms

Answer:
(b)
or 
Step-by-step explanation:
Given

See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:

Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:

The volume becomes;

To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:

![V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5B%20%5Cfrac%7B%282r%29%5E2h%7D%7B3%7D%5D)

Open bracket;

Cancel out 4

The above can be written as:


So, we have:
![V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5B%20%5Cfrac%7B%282r%29%5E2h%7D%7B3%7D%5D)
or

Answer:
The student made the error at step 2.
Step-by-step explanation:
The correct step will be:
Step 2; 6x − 12 = 14 + 2x
As 3 will be multiplied with 2x and 4 which will give 6x − 12