You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
First you compare the denomonators and see if they have any common multiples, then what you do to one side you do to the other so you multiply so you get the same number on both denomonators.finally you multipybthe same number you did ti he botto. to the top.p.s. your welcome
Let's call the unknown amount of money <em>x</em>
Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,
Solving,
Answer: $72
Answer:
a repeating decimal repeats while a terminating decimal ends
Step-by-step explanation:
Answer:
for the third one 2/5 for the fourth one 3/5
Step-by-step explanation:
For the first one, I put 10/25 as a fraction and found the least common multiple, which is 5. I then simplified, and got 2/5.
For the second one, I chose 3/5 because there are 3 friends whose names end in a, and 5 friends whose names do not end in a. My theory was that I took the friends and divided them into 2 groups by most common.
hope this helps if it doesn't I will correct myself :)
