Answer:
22
Step-by-step explanation:
Given:
An art teacher has the total number of buttons =
1. In order to give each in the class 6 buttons, she will need 18 more buttons.
2. If she gives each child 5 buttons, she will have 4 left over.
Question asked:
How many children are in the class ?
Solution:
<u>Let total number of children in the class = </u>
<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>
The equation will be:-
<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>
The equation will be:-
Subtraction equation 2 from 1
Hence, total number of children are 22.
Answer:
The matrix is not invertible.
Step-by-step explanation:
We are given the following matrix in the question:
Condition for invertible matrix:
A matrix is invertible if and only if the the determinant is non-zero.
We can find the determinant of the matrix as:
Since the determinant of the given matrix is zero, the given matrix is not invertible.
Answer:
Step-by-step explanation:
Equation of a line is given as
Where,
m = slope of the line =
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>