Answer:
C. Yes, because A does not have a pivot position in every row.
Step-by-step explanation:
The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.
Simplifying
3x + 1 = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[x + -1] + 4
Reorder the terms:
1 + 3x = 3[-1 + x] + 4
1 + 3x = [-1 * 3 + x * 3] + 4
1 + 3x = [-3 + 3x] + 4
Reorder the terms:
1 + 3x = -3 + 4 + 3x
Combine like terms: -3 + 4 = 1
1 + 3x = 1 + 3x
Add '-1' to each side of the equation.
1 + -1 + 3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
0 + 3x = 1 + -1 + 3x
3x = 1 + -1 + 3x
Combine like terms: 1 + -1 = 0
3x = 0 + 3x
3x = 3x
Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 3x + -3x
Combine like terms: 3x + -3x = 0
0 = 0
This equation is an identity, all real numbers are solutions.
Answer:
93/100
Step-by-step explanation:
In a group of 100 students, 60 are freshman, 55 are female, and 22 are female freshman. Find the probability that a student picked from this group at random is either a freshman or female
Number of Freshman = 60
Number of female = 55
Number of Freshman female 22
Total number of students = 100
The probability that a student picked from this group at random is either a freshman or female
Thus P(freshman or female) = 60/100 + 55/100 - 22/100 = 93/100
You would take 180•15% to get 27 then you would subtract 180-27 to get 153. After you do the first you would do 200•20% to get 40 200-40=160 so the cheaper one would be the 180 because about 15% discount it’s 153 and 160>153
438 has a three in the tens place :)
