A=1x3 means 1 row and 3 columns.
B=3x4 means 3 rows and 4 columns.
AB is a compatible multiplication because A has three columns and B has 3 rows.
However, BA is not a compatible multiplication because B has 4 columns while A has only 1 row.
The general trick is if you read the row/column of the two matrices as 1-3-3-4, and the two middle ones are identical, then AB would be a compatible multiplication. On the other hand, BA would read 3-4-1-3, since 4 and 1 are not identical, so it is not a valid multiplication.
Do remember 1x3 means 1 ROW and 3 COLUMNS.
Answer:
2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.
2.25/3.583333 X 172=108 pounds of mulch that the supplier sells
(1 1/3) / 3.583333 X 172=64 pounds of gravel that the supplier sells.
Step-by-step explanation:
Let 'x' = pounds of gravel The ratio of mulch to gravel is given 2 1/4 / 1 1/3 Which equals 9/4 / 4/3 = 27/16
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
Factor y2 + 5y +6.
Multiply all of the multiple choices
(y+1)(y+6)
(y*y)(y*6)(+1*y)(+1)(+6)
y^2+6y+y+6
=y^2+7y+6
(y+2)(y+3)
(y*y)(y*3)(2*y)(2*3)
y^2+3y+2y+6
=y^2+5y+6
Answer: (y + 2)(y + 3)
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