Graph the solution set for the quadratic inequality x2 + 2x + 1 > 0?
1 answer:
Answer:
Step-by-step explanation:
You want to factor the trinomial. What two numbers multiply to equal 1, but add to equal 2? Thats easy, its just 1.
You now have (x + 1) twice, so you can just square it like this:
We can make that term equal to 0 to get x = -1, but remember that this isnt an equation. This is an inequality, so x > -1
In order to graph this, you should shade everything to the right of -1 because we have the greater than sign. Make the circle open because we are not including -1. It is everything greater than -1
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Answer: The answer is (d) It is an irrational number.
Step-by-step explanation: Given formula for circumference of a circle is
where 'd' is the length of the diameter and a rational number.
We are to choose one of the given four options for the circumference 'c' of the circle.
We know that the circumference of a circle with diameter 'd' is given by
Comparing this with the given equation, we get
Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.
Hence, the circumference, c = rd is irrational.
Thus, the correct option is (d) It is an irrational number.