Answer:
6; 54 is 6 times 9
Step-by-step explanation:
9x = 54
x = 54/9
x = 6
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)

In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:

Now we can simplify that:

And we know that:
cos^2(x) + sin^2(x) = 1
then:

Answer:

Step-by-step explanation:
we have

we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to
therefore
For
-----> one unit to the right of the vertex
Find the value of 


For
-----> one unit to the left of the vertex
Find the value of 


Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b



Answer:
The answer is B. $3.85.
Step-by-step explanation:
This is because, first if we get the percentage that the shoes were marked up by, we get that they were marked up to $35, because 40% of $25 is $10 and $25 + $10 = $35.
Then, we find the percentage of $35 that she earned. In order to do this, we see what 11% of $35 is. We get $3.85, because 10% of $35 is $3.50, and 1% of $35 is $0.35. $3.50 + $0.35 = $3.85.
This is why the answer is B. $3.85.
14x-3y=53 is the answer. I put one equation over the other since there are two of them that needed to be solved