Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Let our basis be worth 1 dollar. A nickel's worth is $0.05. In order to come up with $1, the number of nickels should be:
Number of nickels = $1 * 1 nickel/$0.05 = 20 nickels
Thickness of 20 nickels = 20 nickels * 1.95 mm = 39 mm
Let's do the same for the quarters. Each quarter is worth $0.25.
Number of quarters = $1 * 1 quarter/$0.25 = 4 quarters
Thickness of 4 quarters = 4 quarters * 1.75 mm = 7 mm
Find the ratio of the two:
39 mm/7 mm = 5.57
Therefore, a stack of nickels is 5.57 times thicker than a stack of quarters worth one dollar.
Answer:
w < 8 meters ( w must be greater than 0 because length cannot be 0)
Step-by-step explanation:
One side with building is 23 meters, the other opposite side also will be 23 meters (with rope).
Let width (remaining 2 sides) be "w", he has AT MOST 39 meters of rope, so we can write:
Rope Needed = 23 + 2w < 39
Simplifying:
The range of possible values of w is 
meters (of course w has to be greater than 0)
Answer: always
Step-by-step explanation:
If x equals 2 and y equals 1/4 , the equation is 2 • 2 + 1/4 • 3
and that equals 4.75
