will be increasing on the intervals where
and decreasing wherever
. Local extrema occur when
and the sign of
changes to either side of that point.
is positive when
is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that
is increasing on the intervals [-4, -2] and (2, 4].
is negative when
is between some number between -2 and -1, up to some number less than 2. So
is decreasing on the interval [-1, 1].
You then have two possible cases for extrema occurring. The sign of
changes for some
between -2 and -1, and again to either side of
.
Answer:
<em>l</em> = 1 5/16
w = 1/16
A = 21/16 x 1/16 = 21/256
Step-by-step explanation:
Perimeter = 11/4
<em>l</em> = length
w = <em>l</em> - 5/4
2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4
2<em>l</em> + 2<em>l</em> - -5/2 = 1/4
multiply each side by 4
8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>
16<em>l</em> = 21
<em>l</em> = 21/16 or 1 5/16
width = 21/16 - 20/16 = 1/16
Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer:
130
Step-by-step explanation:
3*10 =30+100=130
