An augmented matrix is a matrix that is obtained by attaching the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
The given system of the equations are:
Thus, the augmented matrix will be of the form:
Hence, option A is correct.
the 48 boys is 4 parts of the ratio
divide 48 by 4 to obtain one part of the ratio
= 12 ← 1 part of the ratio
3 parts = 3 × 12 = 36 ← number of girls
we are given the table representing an exponential function.
we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.
i.e. the following relation is obtained,
x = 1, y = 6
x = 2, y = 36 =
x = 3, y = 216 =
x = 4, y = 1296 =
x = 5, y = 7776 =
so, the geometric series obtained is .
thus, the common ratio is given by = = 6.
hence, the common ratio is 6.