for the system of equations
the three matrices needed to use Cramer's Rule are:
![D=\left[\begin{array}{cc}a_1&b_1\\a_2&b_2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}c_1&b_1\\c_2&b_2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}a_1&c_1\\a_2&c_2\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26b_1%5C%5Ca_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dc_1%26b_1%5C%5Cc_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26c_1%5C%5Ca_2%26c_2%5Cend%7Barray%7D%5Cright%5D)
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To use Cramer's Rule we have to calculate the three determinants listed below of the matrices listed below.
![D=\left[\begin{array}{cc}2&5\\-3&-2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}-13&5\\3&-2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}2&-13\\-3&3\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%265%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-13%265%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-13%5C%5C-3%263%5Cend%7Barray%7D%5Cright%5D)
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The value of the determinants are shown below.
The value of y is 
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Answer:
The relationship of the number of months and the total amount paid is proportional for both Hanks and Lynn.
Step-by-step explanation:
Let us divide the equation into 2 parts.
Hanks
Hank paid $2000 up front when he bought the car and he pays $200 every month. Therefore, the total amount paid (y) and the number of month (x)can be expressed as follows.
Let
x = number of month
y = total amount paid
y = 2000 + 200x
The relationship between amount paid and the number of months is proportional
Lynn
She did not paid anything upfront but she paid $275 every month. Therefore,
x = number of month
y = total amount paid
y = 275x
This relationship between amount paid and number of month is directly proportional
Answer:
1. 3600 x 25 ÷100 =900
there fore the discount price is p900
3. it means if you add to integers you get 143
so x +x+1=143
2x +1=143
2x+1-1=143_1
2x=142
2x/2 =142/2
x=71
x+1=71+1=72
128 = 8d, because the product calls for multiplication to be performed.
Answer:
1847.26 yards cubed
Step-by-step explanation:
V=πr^2h
π*49*12= 1847.26
Have a good day :)
