Answer:
8
Step-by-step explanation:
A translation is a solid transformation. Lengths of sides and measures of angle remain equal.
Answer: 48
Step-by-step explanation:
The number of Pokemon cards in Steven's collection = x
The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x
The total number of Pokemon cards in both collections = 240
x + 4x = 240
5x = 240
x = 240/5
x = 48
The number of cards in Steven's collection is 48
Answer:
A: 
Step-by-step explanation:
In this case it can be seen that the x values are being affected by this transformation. This means that we should look for points on f and g with the same y value but different x values. However in this case it is hard to pinpoint easy coordinates to work with. This is where process of elimination can help. We know it cant be B or C because if the dilation ratio is outside the function, the y values would be affected. That leaves it to A or D. We can see that g has shrunk from the original function. Shrinking along the x-values can be notated by the reciprocal of the factor of shrinking. In this case it looks like it shrunk down to half of the originals size. If we take the reciprocal of a half we get 2. Therefore if we plug that in we get:

Technically the endpoints will be intersection of first endpoint between x=1 and y=-1second endpoint between x=-2 and y=2
so they are 1-i and -2+2i
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))