Answer: 10
Step-by-step explanation:
Given : lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint.
Total number of colors = 6
If order does not matter, then we use combinations.
The number of combinations of n things taken r at a time :-
If green is already selected , then the remaining number of colors to choose = 3 out of 5 ( red, yellow, purple, orange, and blue paint.)
The number of ways can she pick four colors if green must be one of them = 10.
The given matrix equation is,
.
Multiplying the matrices with the scalars, the given equation becomes,
Adding the matrices,
Matrix equality gives,
Solving the equations together,
We can see that the equations are not consistent.
There is no solution.
Let f(x) = y.
y = 4x - 12
Let x = 0
y = 4(0) - 12
y = - 12
This leads to the point (0, -12).
Let y = 0.
0 = 4x - 12
1 2 = 4x
12/4 = x
3 = x
This leads to the point (3, 0).
We now graph both points and then connect each point with a straight line.
