Answer:
The interval of increase of g(x) is 
.
Step-by-step explanation:
The interval of increase occurs when first derivative of given function brings positive values. Let be 
, the first derivative of the function is:
The following condition must be met to define the interval of increase:
The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:
The solution to this inequation is:
Now, the solution to this expression in interval notation is:
Answer:
Catherine's GPA is 2.48
Step-by-step explanation:
A z-score of 2.010 means that Catherine's GPA is 2.01 standard deviations above the mean. Therefore, Catherine's GPA is 
9 and 12 are slope-intercept form and 10 and 11 are point-slope form
<u>Answer:</u>
5 hours was Aaron at the sitter
<u>Explanation:
</u>
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= 
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours
Answer:
12.
Step-by-step explanation:
This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.
12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 12
Fractional Part: 36
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:
12
