We'll need to find the 1st and 2nd derivatives of F(x) to answer that question.
F '(x) = -4x^3 - 27x^2 - 48x - 16 You must set this = to 0 and solve for the
roots (which we call "critical values).
F "(x) = -12x^2 - 54x - 48
Now suppose you've found the 3 critical values. We use the 2nd derivative to determine which of these is associated with a max or min of the function F(x).
Just supposing that 4 were a critical value, we ask whether or not we have a max or min of F(x) there:
F "(x) = -12x^2 - 54x - 48 becomes F "(4) = -12(4)^2 - 54(4)
= -192 - 216
Because F "(4) is negative, the graph of the given
function opens down at x=4, and so we have a
relative max there. (Remember that "4" is only
an example, and that you must find all three
critical values and then test each one in F "(x).
It'd be A since dividing on a negative coefficient results flipping the sign of the inequality and results in a different impact
We need to start from the innermost parenthesis and work our way out.
The first parenthesis is 
. These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have
and 2z and -13z are like terms, so we can sum them:
Finally we arrive to the whole expression, which is
Because, again, 5z and 11z were like terms.
<span>The simplest form of a fraction occurs when the numerator and denominator cannot get any smaller (while still being integers)
In the stadium there are 30 suites.
14 suites.............24 seats
16 suites..............18 seats
The suites with 24 seats are 14 out of 30 which can be represented as 14/30.
However, the simplest fraction would be
7*2 7
------- = ------
15*2 15
This is why Tyler is incorrect</span>
Answer:
50% of 80 is 40
Step-by-step explanation:
50% is half of something so half of 80 is 40
