Answer:
A.)
Step-by-step explanation:
Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.
The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).
g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
We solve the above questions using Combination
Combination = C(n, r) = nCr
= n!/n! ×(n - r)!
(a) How many are there to select 2 pairs of gloves?
We have 5 pairs of gloves. Therefore, the number of ways to select 2 gloves =5C2
= 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/(2 × 1) × (3 × 2 × 1)!
= 10 ways.
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
We are told to select 4 gloves out of the 10 gloves = 10C4
We have 5 pairs, we need to make sure that two out of the selected 4 make a pair = 5 × 2⁴
= 80
Hence,
10C4 - 5C4
= [10!/4! × (10 - 4)!] - 80
= 210 - 80
= 130 ways
Hello!
This question is super easy to me.




Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
To answer you need to isolate T so you add 19 to both sides. so T = 36
Hope that helped! If you don't get it message me and I can try to re explain :)