Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
Answer: 792
Step-by-step explanation:
From what I got it should be 792 because it is asking for doubles, triples, and home runs all together at the same amount that he got on his first year.
It says after 12 years
Doubles 47 times 12 years = 564
Triples 4 times 12 years = 48
and
Home runs 15 times 12 years = 180
564 + 48 = 612
612 + 180 = 792
Alrighty, let's think of it like this: You are trying to fill a box with a bunch of sports balls. You have tiny little golf balls, and you have giant bowling balls. You need to fill this same box all the way up.
If you fill it with the tiny golf balls, you are going to need a <em>whole lot of them!</em>
If you are putting in bowling balls, only a few of them will fit, because they are so much bigger.
When it comes to your fraction, the box is the the number 8/10. That number will not change because we are not changing the size of the box.
We are just changing what we are filling it with. Manny, can fit 8 parts, or in this case balls, into the box.
It says Ana uses fewer parts, so she cannot fit as many in as Manny.
This means that Manny would have the golf balls, since he can fit more in than Ana, who must have the bowling balls.
So which is bigger? A bowling ball or a golf ball?
A bowling ball, which is what Ana has. So <u><em>Ana's part will be bigger</em></u> in size.
Answer:
B. 5/6 of a number cannot be greater than the number.
7/3 = 2 1/3 > 1 2/3
