The answer of the matrix equation will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
<h3>What is Matrix ?</h3>
Matrices are known as the tables of numbers. The numbers are usually put into the big brackets. Matrices are given the 'orders', which describes the size of the matrices. The order is the number of rows 'by' the number of columns. For example: a 2 by 3 matrix has 2 rows and 3 columns.
Step-by-step explanation:
1.Find the inverse matrix of the equation
![\left[\begin{array}{ccc}2&1\\1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C1%262%5Cend%7Barray%7D%5Cright%5D)
The inverse of this equation will be :
![\left[\begin{array}{ccc}2&-3\\-1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C-1%262%5Cend%7Barray%7D%5Cright%5D)
2.Multiply it with ![\left[\begin{array}{ccc}5\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
3.Multiply the rows of the first matrix with the columns of another
2×5+(-3)×4
(-1)×5+2×4
4.Simply each element
The answer will be
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Answer:
at least 20 characters is what I need to answer with
The domain of g alone is {x | x ≠ 0}, and the domain of f is all reals. So the domain of (f ◦ g) is the domain of g
{x | x ≠ 0}.
(f ◦ g)(x) = 1/x + 3.
The range of g(x) = 1/x is actually the same as its domain {y | y ≠ 0}. Adding three, the range of f ◦ g is all reals except for 3,
{y | y ≠ 3}
The line y = 3 is actually an asymptote (horizontal) to the graph of f ◦ g.
Answer:
D. -3.0 < x < 7.5
Step-by-step explanation:
Given the side lengths of a triangle: 6.5 units, 3.5 units, and 2.5 + x units
For the triangle to exist:
- A side length cannot be negative
- A side length cannot be zero
Therefore, the third side length
x+2.5>0
x>-2.5
x must be greater than -2.5 and less than or equal to 6.5 units.
The correct option is D which satisfies this condition.
D. -3.0 < x < 7.5
Formula being mx+b= 15x+150
Slope would be 15 & y-intercept being 150 since that is where you started.
