Answer:
So interval notation is with ( and [ where ( is exclusive and [ is inclusive.
Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.
at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)
The values are positive when x is less than 6 and negative when x is greater than 6.
so the positive interval is
(-infinity, 6)
and with inifinity you always use exclusive
It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive
using this logic can you do the negative interval?
Answer:
9.6 or 9 and 3/5
Step-by-step explanation:
turn 2 and 2 fifths into an improper fraction and multiply by four
Answer:
x = -3/2
Step-by-step explanation:
7⁰ = 1 (anything to the power of 0 equals 1)
7²ˣ ⁺ ³ = 7⁰
Since the bases are the same, you 'forget' about the bases and then you solve for x.
2x + 3 = 0
2x = -3
x = -3/2
Answer:
Step-by-step explanation:
define the function:

As both
and x are continuous functions,
will also be continuous.
Now, what can we say about
?
we know that
, thus:

thus
is non-negative.
What about
? Again we have:

That means that
is not positive.
Now, we can imagine two cases, either one of
or
is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point
for which
is a fixed point, because:

Now, if
and
, then we have that
and
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which
. And as we have shown before that point would be a fixed point. This completes the proof.
the answer is l*w= A so that is the answer