Answer:
EF + FG = EG Plug in the given values
4x + 15 + 39 = 110 Combine like terms (15 and 39)
4x + 54 = 110 Subtract 54 from both sides
4x = 56 Divide both sides by 4
x = 14
The given matrix is
| 1 6 4 |
| 0 1 2 |
| 0 0 1 |
Create the augmented matrix.
| 1 6 4 | 1 0 0 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R1 -> R1 - 6*R2
| 1 0 -8 | 1 -6 0 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R1 -> R1 + 8*R3
| 1 0 0 | 1 -6 8 | R1
| 0 1 2 | 0 1 0 | R2
| 0 0 1 | 0 0 1 | R3
R2 -> R2 - 2*R3
| 1 0 0 | 1 -6 8 |
| 0 1 0 | 0 1 -2 |
| 0 0 1 | 0 0 1 |
The inverse is
| 1 -6 8 |
| 0 1 -2 |
| 0 0 1 |
Verification:
| 1 6 4 | | 1 -6 8 | | 1 0 0 |
| 0 1 2 | | 0 1 -2 | = | 0 1 0 |
| 0 0 1 | | 0 0 1 | | 0 0 1 |
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Exact form: 3336711069/389
Decimal form: 8577663.42 (rounded)
Mixed number form: 8577663 & 162/389
Answer:
46.7 and 93.3 (both 1 d.p.)
Step-by-step explanation:
With ratio, you can turn the numbers of 1 and 2 to their fractional forms
First, 1 + 2= 3
They can be shared as,
1/3 and 2/3
1/3 x 140 gives the share of the 1 in 1:2
2/3 does the same for its share
They both give decimals
140 x 1/3 = 46.67 (rounded to 2 d.p.)
140 x 2/3 = 93.33 (2d.p.)