All we need to do is to find a common denominator for both 1/2 and the other numbers individually:
1/2 = 3/6 (so 3/6 is not less than 1/2 - both numbers are equal)
1/2 = 15/30 and 7/15 = 14/30 (so 7/15 is less than 1/2)
1/2 = 9/18 and 4/9 = 8/18 (so 4/9 is less than 1/2)
1/2 = 4/8 (so 5/8 is not less - it's greater than 1/2)
Answer: From the list above only <u>7/15 and 4/9</u> are less than 1/2.
The answer to this question is 100% B: y=2x+7 I hope this helped you! :)
Answer:

Step-by-step explanation:
In this problem, we are given expression in exponent form and we have to simplify the expression.
The expression is
Now, we know that
So,
Now, 500 can be written as 100 × 5 = 10² × 5
Therefore,
{Since 500 = 100 × 5 = 10² × 5} (Answer)
Answer:
the inflection points are

So,

It is concave down at the intervals
![(-\infty , -0.85] \cup [-0.14,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%20-0.85%5D%20%5Ccup%20%5B-0.14%2C%5Cinfty%29)
And it would be concave up at

Step-by-step explanation:
Remember that to find inflection points you need to find where

Since

Then using the product and the chain rule you have that

And then, using again the chain rule and the product rule you have that

Therefore you have to solve the equation

Using the quadratic equation you get that there are two solutions, so the inflection points are

So,

Now remember that a function is concave up if the derivative is greater than zero and concave down if the derivative is less than zero. Therefor you have to solve these inequalties

And you would get that is concave down at the intervals
![(-\infty , -0.85] \cup [-0.14,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%20-0.85%5D%20%5Ccup%20%5B-0.14%2C%5Cinfty%29)
And it would be concave up at