The second one is the answer. Greater than or equal to is always circled in and you can use it like an arrow
Answer:
(-1, -3)
Step-by-step explanation:
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
To get rid of the -3 from the modulus your going to bring it over the equal sign
|2x+1|=3
To get rid of the modulus you square both sides.
Postivite 3 solution is:
Negative 3 solution is
Therefore x is -2 and 1
A rug is to fit in a room so that a border of even width is left on all four sides.
If the room is 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border
:
Let x = the width of the border around the rug
then
(25-2x) by (16-2x) the dimensions of the rug
:
The area equation
(25-2x)*(16-2x) = 220 sq/ft
FOIL
400 - 50x - 32x + 4x^2 = 220
:
Arrange as a quadratic equation
4x^2 - 82x + 400 - 220 = 0
:
4x^2 - 82x + 180 = 0
Simplify, divide by 2
2x^2 - 41x + 90 = 0
Factor
(2x - 5)(x - 18) = 0
Two solutions
2x = 5
x = 2.5 ft
and
x = 18 ft, obviously this not the solution
;
Border will be 2.5 ft
:
:
Check this by finding the dimension of the rug, and then the area
(25 - 2(2.5))*(16 - 2(2.5)) =
(25 - 5) * (16 - 5) =
20 * 11 = 220