Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.
Step-by-step explanation: Please find the attached file for the solution
Answer:
The determinant of A (the main matrix) is -3; the determinant of y is 30; the determinant of x is 18; the solution to the system is (-6, -10)
Step-by-step explanation:
Set up the matrix to find the determinant of the main matrix. Find the determinant by multiplying the numbers on the major axis and subtract from that the multiplication of the numbers on the minor axis:
Find the determinant by multiplication:
(2×-2)-(1×-1)= -3
To find the determinant of y, replace the second column with the solutions to have a matrix that looks like this:
To find the determinant of that matrix by multiplication:
(2×14)- (1× -2) = 30
Lastly, find the determinant of x by replacing the first column with the solutions. That matrix will look like this:
Find the determinant of x by multiplication:
(-2 × -2) - (14 × -1) = 18
Now we want Cramer's Rule that tells us if we divide the determinant of
by the determinant of A, we will find the value of x:
and the same for y:
So the solution to the system is (-6, -10)
First find the total by adding the 3 amounts together:
25.50 + 32.15 + 15.25 = $72.90 total.
Now divide the total by the number of people:
72.90 / 5 = 14.58
Each person needs to pay $14.58
Answer:
6^2 - (3*-4)+20
6^2 - (-12)+20
36+12+20
48+20
68
Let me know if this helps!
The ordered pairs are:
<span>{(1, 80), (2, 240), (3, 720), (4, 2160)}
with
a_1 = 80
a_2 = 240
a_3 = 720
a_4 = 2160
The terms are in a geometric sequence with a common ratio of
240/80 = 720/240 = 2160/720 = 3
The equation is:
a_n = 80 * 3^(n - 1)</span>