Answer:

Step-by-step explanation:
We are asked to find the product of
and
.
Upon writing our expression as a product we will get,

Let us convert our given mixed fractions to improper fractions.
Upon cancelling out 3 from our given expression we will get,
Upon dividing -7 by 2 we will get,

Therefore, our expression simplifies to -3.5.
Answer:
x=2
Step-by-step explanation:
6x-2=4x+2
Move all terms with x to the left side by subtracting 4x from both sides:
2x-2=2
Move all terms without x to the right side by adding 2 to both sides:
2x=4
Divide both sides by 2 to get x by itself:
x=2
Answer:
8:6, 16:12, 24:18
Step-by-step explanation:
Answer:
i think the answer is the fourth opition slope = -5/3
A differentiable function
is increasing on an open interval
if
for all
, and decreasing if
. For this problem, you then need to compute the derivative:

then solve for
:

We can ignore
because
is defined only for
. So we have two intervals to consider,
and
. All we need to do is pick any value from either interval and check the sign of the derivative
. Since
, from the first interval we can take
, and from the second we can pick
.


The above indicates that
is decreasing on the first interval
, and increasing on the second interval
.
For part (b), we use the info from above as part of the first derivative test for extrema. We have one critical point at
, and we know how
behaves to either side of this point;
decreases to left of it, and increases to the right. This pattern is indicative of a minimum occurring at
, and we find that
has the (local) minimum value of
.