The answer is 5x + 10 because you have to times 5 by everything in the parenteses
Gradient is the difference between the y-axis and the x-axis
Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4
Finalized answer
Line B gradient = -2
Line A gradient = +4
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.
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