has a horizontal tangent line at
, and it's clear from the plot that
is increasing to the left and descreasing to the right. This means
when
, so there is an inflection point there and only statement II is true.
Statement III is not true because critical points only occur where or (possibly) when
is undefined. Clearly
when
.
Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← <em>divide by 20 on both sides</em>
<em> 45 = n</em>
Therefore, 9/20 is equal to 45 over 100 or 45%.
<u>___________________________________________________</u>
Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.