Answer:
3:10
Step-by-step explanation:
Answer:
multiply the left side of the constant vector by the inverse matrix
Step-by-step explanation:
The matrix equation ...
AX = B
is solved by left-multiplying by the inverse of A:
A⁻¹AX = A⁻¹B
IX = A⁻¹B . . . . . the result of multiplying A⁻¹A is the identity matrix
X = A⁻¹B . . . . . B needs to be multiplied by the inverse matrix
![\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}-4&1\\3&2\end{array}\right]^{-1}\left[\begin{array}{c}9&7\end{array}\right]=\dfrac{1}{11}\left[\begin{array}{cc}-2&1\\3&4\end{array}\right]\left[\begin{array}{c}9&7\end{array}\right]=\left[\begin{array}{c}-1&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-4%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D%5E%7B-1%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D9%267%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B11%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2%261%5C%5C3%264%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D9%267%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1%265%5Cend%7Barray%7D%5Cright%5D)
Answer:
Percentage increase = 269%
Step-by-step explanation:
Price of a DVD last week = $2.87
Price of the same DVD this week = $10.59
Increase in the price of DVD between last week and this week = 10.59 - 2.87
= $7.72
Therefore, percentage increase in the price of DVD = 
= 
= 268.99
= 269%
To figure out R, add 1.97+0.65 together. 1.97+.065=2.62
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3