For the equation F(x) = ax² + bx + c we have:
- maximum value if a<0
- minimum value if a>0
F(x) = -3x² + 18x + 3 ⇒ a = -3, b = 18
a < 0 ⇒ the function has a maximum value
Quadratic function has the maximum value (or minimum) at vertex of its parabola.
The maximum value is k at x=h where:
and k = F(h)

Therefore:
<h3>
The function has a maximum value of 30 at x = 3</h3>
f(9) is the x value, find where the line is in the y direction at x = 9
The line crosses y = 3 at x = 9
Answer:
f(9) = 3

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

Calculate the LCM of denominators

Calculate the difference

I think it’s 36 but I’m not good at math so don’t count me on it
Answer:
So the answer for this case would be n=22547 rounded up to the nearest integer
Step-by-step explanation:
Let's define some notation
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
represent the margin of error desire
The margin of error is given by this formula:
(a)
And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be
and the critical value
, replacing into formula (b) we got:
So the answer for this case would be n=22547 rounded up to the nearest integer