For the various values of X the values of Y are given as follows
X=-1; Y=3
X=0; Y=2
X=1; Y=3
X=2; Y=6
X=3; Y=11
Step-by-step explanation:
Step 1:
Let us consider the given expression as

Step 2:
Let us discuss the value of Y for the various values of X
If X = -1, Y = (-1)² + 2 = 3
If X = 0, Y = (0)² + 2 = 2
If X = 1, Y = (1)² + 2 = 3
If X = 2, Y = (2)² + 2 = 6
If X = 3, Y = (3)² + 2 = 11
I suppose a DJ wants to select 4 different songs, then there are: 12*11*10*9 = 11880 ways to choose them.
If the order of the songs he plays doesn't matter, there are:
ways to choose them.
Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.
so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )
angles on a straight line add up to 180.
180-37=143 ( angle x )
since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )
Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!
So-------
9^3=729
3^2=9
6^3=216
15^2=225
Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.
Therefore, your final answer will be 1,174.
If you have any questions on this, I'm happy to help you. :)