Step-by-step explanation:
Given
2x - 5 = 7
2x = 7 + 5
2x = 12
x = 12 / 2
x = 6
Hope it will help :)❤
D. Since it’s saying that it’s 5 times the sum of r and s, those two have to be in parenthesis so that you’re multiply 5 by that number. D is your answer
I'm going to put this into vertex form, which is y=a(x-h)^2+k
To do this, you use completing the square. Start by subtracting 1 from each side
-1+y=x^2+2x
Then, divide b (2) by 2 and square it. Add that number to each side. (normally when you complete the square, you take out the gcf of the right side of the equation before you do this. Then, you would multiply (b/2)^2 by the gcf before adding it to the left side. Since there is no gcf, we do not have to worry about this)
2/2=1
1^2=1
-1+1+y=x^2+2x+1
Next, simplify the left side and factor the right side.
y=(x+1)^2
This is vertex form. a=1, h=-1, and k=0
The vertex is (h,k) so it is (-1,0)
hope this helps!
You would expect that if a coin were fair the number of times heads appears would equal the number of times tails appears for a certain number of tosses. So for 20 tosses we would expect 10 and 10. However, this is a mathematical reality and not necessarily what we would see if we actually toss the coin 20 times. In fact this half and half situation becomes more and more the case if we flip the coin a large number of times (a very, very large number of times). 20 is not a very large number of times. If the coin lands heads up 11 of 20 times, it is most likely still fair and not really favoring heads. So the claim is false.
It is only in cases where we see a very high number of heads in comparison with tails (a large discrepancy between the two) that we might start to wonder if the coin is indeed fair.
