X²-5x-36
Write -5x as a sum or difference.
x²+4x-9x-36
Factor out x from the expression.
x(x+4)-9(x+4)
Factor out x+4 from the expression.
(x+4)(x-9)
Answer: The second step is to factor out x.
Answer:
437+36x>=500
Step-by-step explanation:
This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500
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.
<u>Answer</u>
3
<u>Explanation</u>
The two lines in the diagram are secants meeting outside the circle.
The products of a secant and the extension of the chord of one line is equal to the products of a secant and the extension of the chord of the other line.
∴ 4 × 9 = x × 12
36 = 12x
x = 36/12
= 3
Complete Question
On the uploaded image is a similar question that will explain the given question
Answer:
The value of k is 
The percentage of the oil that will be cleaned is 
Step-by-step explanation:
From the question we are told that
The cost of cleaning up the spillage is

The cost of cleaning x = 70% of the oil is 
Now at
we have




Now When
