5w + 8 - w = 6w - 2(w -4).
Let's reduce the equation on the left:
4w + 8; (1)
and now let's reduce the equation on the right
6w - 2w +8 = 4w +8 (2).
We notice that (1) ≈ (2), and this is the only IDENTITY
Answer: 11.5
Step-by-step explanation: 36/pi is 11.4591559 approximately it would be 11.5
Answer: trivial solution is the only solution to Ax = 0, therefore columns must be linearly independent.
Step-by-step explanation: Recall that the columns of A are linearly independent if and only Ax = 0 had only the trivial solution. Since Ax = b has at most one solution, therefore the only solution to Ax = 0 is the trivial solution and the column vectors must be linearly independent.
Here are the equations that are represented by the scenarios:
4x + 2y = $14 (Joe)
3x + y = $9 (Becca) or y = 9 - 3x
To find the cost of each burger and fry you will solve the second equation for y and substitute it in for the y in the first equation. This will put everything in terms of x, the price of a fry.
4x + 2(9 - 3x) = $14
4x + 18 - 6x = 14
-2x +18 = 14
-18 -18
<u>-2x</u> = <u>-4</u>
-2 -2
x = 2
Fry cost $2, and burgers cost (9 - 3 x 2) or $3.
