Answer:
4 parameters are necessary to specify all solutions and correspond to the number of free variables of the system.
Step-by-step explanation:
Remember that the number of free variables of a system is equal to m-rank(A) where m is the number of unknowns variables and A is the matrix of the system.
Since the system is consistent and the rank of the matrix is 3 then echelon form of the augmented matrix has two rows of zeros.
Then m-rank(A)=7-3=4.
Answer:
y=x+1
Step-by-step explanation:
In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1). Now since we now know our slope we can draw y=x to find what do we have to add. Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).
Answer:
E
because both sides are equal when substituted by 3 & 5
Answer:
66 2/3 %
Step-by-step explanation:
First find the students not in the 8th grade
24 - 8 = 16
16 students are not in the 8th grade
Take the fraction of the students not in the 8th grade over the total
16/24 = 2/3
Change to a decimal
.66666666666
Multiply by 100 to change to a percent
66.666666%
66 2/3 %
