A die was rolled 10 times and 2 appeared 4 times. What is the probability of getting 2?
1 answer:
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Answer: C: 12-7x
Step-by-step explanation:
This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.
Any difference of two squares can be factored into the sum of their square roots times the difference of their square roots
.
Let's factor our expression.
Out of all the options given, only is a factor. Hence, option C is correct.
Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:
Now all we gotta do is solve for x:
Now we use either splitting the middle term or quadratic formula:
Now we split each terma and solve for x:
Now the question states <em>positive </em>so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11