Find factors of -5 that, when added together, will give 4
x² + 4x - 5
x 5
x -1
(x + 5)(x -1)
Using the FOIL method (First, Outside, Inside, Last), we can get the question again.
x(x) = x²
x(-1) = -x
5(x) = 5x
5(-1) = -5
x² - x + 5x - 5
x² + 4x - 5
(x + 5) (x - 1) is your answers
however, i believe it is only asking for one. Therefore, because (x - 1) is a choice, (x - 1) should be your answer
hope this helps
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
.
Obviously this will be a negative number
-2 - 14 = 5x - 3x
-16 = 2x
x = %28-16%29%2F2
x = -8 is the number
:
:
Check solution in the original statement: x=-8
3(-8) - 2 = 5(-8) + 14
-24 - 2 = -40 + 14
-26 = -26
Domain: [-4,4] (left-to-right or x-values used)
Range: [-4,4] (down-to-up or y-values used)
Function: no
Answer:
26.28
Step-by-step explanation:
First, add the side lengths of what you know. 6 + 6 + 8 = 20.
Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.
The formula is 2
r, so plug in the radius = 2
So the circumference is 4, then divide by 2 to get 2
20 + 2 = 26.28
