Answer:
5
Step-by-step explanation:
Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.
Then, if A is a matrix 
the maximum number of pivots that can have is one by row, that is, 5.
Then the maximum rank that A can have is 5.
The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%
If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.
9/30=.3 = the percentage of red marbles
.3(300) = 90
The answer 0.6 i apologize if it is incorrect!
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
