3.7m∧5÷3.7m∧2 How do I complete this expression?
2 answers:
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Consider the expression 
To factorize the expression in the denominator we use difference of squares:
To factorize
we use the following method:
where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So
for x>2
thus
for x>2,
Answer:
for x>2
, (but the expression is never 0)
To factorize the expression in the denominator we use difference of squares:
To factorize
where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So
for x>2
thus
for x>2,
Answer:
for x>2
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
