Answer:

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

Then we need to apply the second transformation Shift 3 units down. and we can do this:

Step-by-step explanation:
For this case we have the following function given:

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

Then we need to apply the second transformation Shift 3 units down. and we can do this:

Dependent variables are something that depends on other factors. therefore, if the quality of the public school teacher is poor, it will affect the student's learning badly, and if the teacher's teaching is strong, it affects the student's learning greatly. The student's learning depends on how well the teacher teaches.
There are 233 feet of wood that are required, but we can only buy in lengths of 11 feet. Therefore, we have to take the ceiling of the division 233/11 because if you take less than what you need, you won't have enough, but if you take more than you need, but only the bare minimum of it, you will have enough without wasting money. Therefore, 233/11 = 21, but you have that extra couple feet left, so you need to buy an extra plank to get 22 planks of wood.
Answer:
data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6the MAD is :1 - 6 = -5....|-5| = 52 - 6 = -4....|-4| = 44 - 6 = -2...|-2| = 24 - 6 = -2...|-2| = 25 - 6 = -1...|-1| = 15 - 6 = -1...|-1| = 16 - 6 = 0 ...| 0| = 07 - 6 = 1....|1| = 19 - 6 = 3...|3| = 39 - 6 = 3...|3| = 39 - 6 = 3...|3| = 311 - 6 = 5...|5| = 5(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD2nd data set :the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7mad is :1 - 7 = -6...| -6| = 63 - 7 = -4...|-4| = 44 - 7 = -3...|-3| = 36 - 7 = -1...|-1| = 16 - 7 = -1..|-1| = 16 - 7 = -1..|-1| = 17 - 7 = 0...|0| = 09 - 7 = 2...|2| = 29 - 7 = 2...|2| = 210 - 7 = 3..|3| = 310 - 7 = 3...|3| = 313 - 7 = 6...|6| = 6(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MADthe difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer
Step-by-step explanation:
Step-by-step explanation:
(given)
Let us consider :
= 
= 
=
=
=
Now, by substituting the above considerations in the above equation, we get:
where,
1
then it follows
n = 20
r = 4
then no. of solutions for the eqn = 
= 
= 10626
Answer :
no. of solutions for the eqn 10626