The matrix equation that represents this situation is
![\left[\begin{array}{ccc}3&2&0\\1&0&4\\3&1&1\end{array}\right]*\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}13.50\\16.50\\14.00\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%260%5C%5C1%260%264%5C%5C3%261%261%5Cend%7Barray%7D%5Cright%5D%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D13.50%5C%5C16.50%5C%5C14.00%5Cend%7Barray%7D%5Cright%5D%20)
Use technology to find the inverse of matrix A:
![A^{-1}= \left[\begin{array}{ccc}-\frac{2}{5}&-\frac{1}{5}&\frac{4}{5}\\ \frac{11}{10}&\frac{3}{10}&-\frac{6}{5}\\\frac{1}{10}&\frac{3}{10}&-\frac{1}{5}\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-%5Cfrac%7B2%7D%7B5%7D%26-%5Cfrac%7B1%7D%7B5%7D%26%5Cfrac%7B4%7D%7B5%7D%5C%5C%0A%5Cfrac%7B11%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B6%7D%7B5%7D%5C%5C%5Cfrac%7B1%7D%7B10%7D%26%5Cfrac%7B3%7D%7B10%7D%26-%5Cfrac%7B1%7D%7B5%7D%5Cend%7Barray%7D%5Cright%5D%20)
Multiplying A inverse by B, we get the solution matrix
[tex]\left[\begin{array}{ccc}2.50\\3\\3.50\end{array}\right][\tex]
Answer:
Option C is correct
Step-by-step explanation:
In this question, we are asked to select which of the options have the same value as 7/3
We examine the options one urge other.
Option A
9/49; This is wrong as it cannot be divided further to yield while multiples
Option B
18/42; Dividing through by 6 will yield 3/7 which is not same as 7/3; This makes this option wrong too
Option C
42/18; dividing through by 6 will yield 7/3 which makes this option correct
Option D
49/9; This is a dead end as it cannot be divided further to give whole number multiples
F-11 because its 11 fewer than f which means you subtract 11 from f
Answer:
Answer: The truck is worth of $27508 after 2 years.
Step-by-step explanation:
Since we have given that
The value in dollars v(x), of a certain truck after x years is represented by the equation :
We need to find the price of the truck after 2 years,
so, x= 2
So, we put the value of x = 2 in the above equation:
Hence, the truck is worth of $27508 after 2 years.
Answer:
-4 and 9
Step-by-step explanation:
x2-36=5x'
x*x - 5x - 36 = 0
(x - 9) (x + 4) = 0
roots 9 and -4
