40 boys and 68 girls
let's start with variables and an equation.
boys: x
girls: 2x - 12
and we know that boys and girls make up the class. so let's add the two expressions.
x + 2x - 12 = 108
3x - 12 = 108
+ 12 + 12
3x = 120
x = 40 boys
BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.
2x - 12 = # of girls
2(40) -12 = # of girls
80 - 12 = # of girls
68 girls
let's check our answer!
68 + 40 does in fact add to 108, therefore our answer is correct.
Increasing order means from least to greatest.
-9 is the greatest negative number.
-5 is the 2nd negative greatest number.
-2 is the least negative number.
3 is the least positive number.
4 is the second greatest positive number.
9 is the greatest positive number.
So, the answer is: -9,-5,-2,3,4,9
Hope I helped!
First distribute -2 to both x and -5
-2(x) = -2x
-2(-5) = 10
2x + 10 = -2x + 10
False. 2x + 10 ≠ -2x + 10
False is your answer
hope this helps
Answer:
4th option
Step-by-step explanation:
x² - 2x - 3 = 0 ( add 3 to both sides )
x² - 2x = 3
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 3 + 1
(x - 1)² = 4
we know that
in expanded form is equal to
therefore
<u>the answer is</u>
