Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
![\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%26-9%2613%5C%5C-8%26-5%265%5C%5C3%264%26-8%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D11%5C%5C15%5C%5C-10%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%26-9%2613%5C%5C-8%26-5%265%5C%5C3%264%26-8%5Cend%7Barray%7D%5Cright%5D%20%5E%7B-1%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D11%5C%5C15%5C%5C-10%5Cend%7Barray%7D%5Cright%5D%5C%5C)
![\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B19%7D%20%26-%5Cfrac%7B1%7D%7B19%7D%26%5Cfrac%7B1%7D%7B19%7D%5C%5C-%5Cfrac%7B49%7D%7B380%7D%26-%5Cfrac%7B103%7D%7B380%7D%26-%5Cfrac%7B36%7D%7B95%7D%20%5C%5C-%5Cfrac%7B17%7D%7B380%7D%26-%5Cfrac%7B69%7D%7B380%7D%26-%5Cfrac%7B28%7D%7B95%7D%20%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D11%5C%5C15%5C%5C-10%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-0.74%5C%5C-1.69%5C%5C0.13%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)
Answer:
I believe x = 34
Step-by-step explanation:
3 × 34 = 102
102 - 6 = 96
2 × 34 = 68
96 + 68 + 88 + 108 = 360
The estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
<h3>Estimate the amount of money Yousef will borrow by first rounding to the hundred</h3>
The amount borrowed are given as:
Last term = 1690
This term = 2345
When the amounts are rounded to the nearest hundred, the amounts borrowed become:
Last term = 1700
This term = 2300
The total amount is then calculated as:
Total amount = Last term + This term
Substitute the known values in the above equation
Total amount = 1700 + 2300
Evaluate the sum
Total amount = 4000
Hence, the estimate of the amount of money Yousef will borrow by first rounding to the hundred is 4000
Read more about approximation at:
brainly.com/question/10171109
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62-32 = 30
30* 5/9 = 16.666 rounded to 17 degree celius
Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)
Step-by-step explanation:
If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.
(x, y) — (x + 2, -y)
D (1, 6) — D’ (3, -6)
E (2, 2) — E’ (4, -2)
F (3, 5) — F’ (5, -5)
