Answer:
1. L1 =
2. O2 =
Step-by-step explanation:
Given: x =
1. To make L1 the subject of formula;
x =
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
collect like terms,
L2 = xL1(O2 - O1) + L1
factorize the right hand side;
L2 = L1[x(O2 - O1)]
L1 =
2. To make O2 the subject of formula;
x =
cross multiply to have;
L2 - L1 = xL1(O2 - O1)
open the bracket to have;
L2 - L1 = xL1O2 - xL1O1
⇒ xL1O2 = L2 - L1 + xL1O1
O2 =
=
Answer:
220
Step-by-step explanation:
Given,
The total number of people = 12,
Out of which, top 3 finishers will be recognized with the same award,
So, the total possible way = total combination of 3 people out of 12 people
Hence, there are 220 ways the top 3 racers can be grouped from the 12 people.
Answer:
{2, 8}
Step-by-step explanation:
We want to find x for ...
15 = 4|x -5| +3
12 = 4|x -5| . . . . subtract 3
3 = |x -5| . . . . . . divide by 4
±3 = x -5 . . . . . . show the meaning of absolute value
5 ±3 = x = {2, 8} . . . . . add 5
The values of x for which f(x) = 15 are 2 and 8.
