Mr. dean has an even number of cats and an odd number of dogs. show how many dogs and cats he might have. he has 6 cats and blank dogs. how many dogs?

Question 1 :

Since, number of cats = an even number,

Also, the number of dogs = an odd number,

That is,

Number of cats = 2n ( Where, n ∈ N, because number of animal can not a decimal or irrational number ),

Number of dogs = 2w + 1, where w is a whole number,

Hence,

Possible number of cats and dog are,

( 2, 1 ), ( 6, 7), (8, 9), (12, 13),,etc..

Question 2 :

If Number of cats = 6

So, the possible number of dogs,

1, 3, 5, 7

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.