He is false the equation should be as follows
Answer:
Correct. She could have also subtracted 100 from both sides, then divided by Negative one-half.
Step-by-step explanation:
12 students/1 teacher = 276 students/x teachers
Students are on top of the ratio and teachers are on the bottom of the ratio. It must remain the same on both sides of the equation.
12 x = 276
divide by 12
x =23
2/60= .0333
So your answer would be .0333x
Answer:
(3x + 1) • (3x - 1)
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
3
x
- 1
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 9x
-1
Theory : A difference of two perfect squares, A
- B
can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A
- AB + BA - B2 =
A
- AB + AB - B2 =
A
- B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 1 is the square of 1
Check : x
is the square of x1
Factorization is : (3x + 1) • (3x - 1)
Final result :
(3x + 1) • (3x - 1)