Answer:
middle term = 7x
Step-by-step explanation:
in order to find the middle term, we will expand the bracket on the left hand side and compare the expressions on both sides.
(x + 2) (3x + 1) = 3x² + ___ + 2
let the unknown expression = y
(x + 2) (3x + 1) = 3x² + y + 2
Expanding the bracket on the left hand side by multiplication:
x + 2( 3x + 1) = (x × 3x) + (x × 1) + (2 × 3x) + ( 2 × 1)
= 3x² + x + 6x + 2
= 3x² + 7x + 2
Comparing with the expression on the right hand side:
3x² + 7x + 2 = 3x² + y + 2
∴ y = 7x
middle term = 7x
Answer:
4/7 yards
Step-by-step explanation:
Given that :
Required fabric is > 1/2 but < 5/8
Let required fabric = x
Then ;
Converting the fractions to decimal :
1/2 = 0.5 ; 5/8 = 0.625
0.5 < x < 0.625
3/8 yards = 0.375 ;
4/7 yards = 0.571
3/7 yards = 0.429
2/4 yards = 0.5
0.5 < 0.571 < 0.625
From the options, only 4/7 yards satisfies the condition :
Answer:
Rectangular prism
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
-18=2+5x
Subtract 2 from both sides
-20=5x
-4=x
Answer:
3
Step-by-step explanation:
Lannister checks out 6 sets of book
Each set had the same number of books
She reads 7 books and has 11 more to go
Therefore the number of books in each set can be calculated as follows
= 11+7
= 18
18/6
= 3
Hence there are 3 books in each set