Answer:
The transformation of 
to 
consists in a vertical translation. The new equation is 
.
Step-by-step explanation:
Let 
. We proceed to make the required transformations on , which consists in one vertical translation, 3 units in the -y direction. That is to say:
(1)
Then, the transformation of to consists in a vertical translation. The new equation is .
<h3>
Answer: 3. Postulate</h3>
A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.
Answer:
200 + 50x = 450
Step-by-step explanation:
So, 200 + 50x = 450
50x = 450-200 = 250
X = 250/50
X = 5
Check:
200 + 50(5)
= 200 + 250 = 450.
Use f and m for "female" and "male." Then f = m + 16, and f + m = d (total)
So now we have the system of linear equations
f = m + 16
f + m = d
We can eliminate f by subst. m + 16 for f in the second equation:
d-16
m + 16 + m = d, or 2m + 16 = d. Find m. 2m = d - 16, so that m = --------
2
Assuming that the male horses are either brown or black, and that 25% of these are brown, then the rest must be black. This number is
d-16
0.75 [ --------- ] .
2
