ANSWER

EXPLANATION
The given function is

Let us split the middle term to get,

We factor to obtain,


Let us find the zeros of f(x),

Either


We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.
This gives us,

Hence the axis of symmetry of the parabola has equation,

Since the given function has minimum turning point, it will decrease and then increase.
The function will be increasing for

The function will be increasing and positive for
Answer:
n = 35
Step-by-step explanation:
n - 13 x -2 = -44
distribute:
(n x -2) - (13 x -2) = -44
-2n - (-26) = -44
two negatives in front of a number makes it a positive number
so rewrite -2n + 26 = -44
-2n = -44 -26
-2n = -70
n = 
n = 35
calc check (35 - 13) x -2 = 22 x (-2) = -44
Answer:
C. 11.60 ounces to 12.60 ounces
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 12.10, standard deviation 0.25.
In which range will the amount of water dispensed be found 95% of the time?
By the Empirical Rule, within 2 standard deviations of the mean. So
12.10 - 2*0.25 = 12.10 - 0.5 = 11.60
12.10 + 2*0.25 = 12.10 + 0.5 = 12.6
So the correct answer is given by option C.
Answer:
6
Step-by-step explanation:
The variable on the summation sign indicates the number of terms
n goes from 1 to 6
There are 6 terms in the series
Given:
∠A = 66°
AB = 5 mi
To find:
The distance from point B to point C.
Solution:
Using trigonometric ratio formula:




Multiply by 5 on both sides.

(nearest tenth)
The distance from point B to point C is 11.2 mi.