Using the tangent rule:
Tangent(angle) = Opposite leg / Adjacent leg
We will use the 23 degree angle to solve for x.
Tangent(23) = X / 6
x = 6 * tangent(23)
x = 2.5
Answer: 15.56%
Step-by-step explanation:
Given : Your checking account balance is $225.
i.e. Account balance= $225
You received a “bounced” check and your bank has charged you a penalty fee of $35.
i.e.Penalty fee= $35
Now, the percent of your balance the penalty cost :-

Hence, the penalty cost 15.56% of your balance .
9514 1404 393
Answer:
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Step-by-step explanation:
The equation can be written in vertex form by "completing the square."
First factor out the leading coefficient from the x-terms.
f(x) = -(x² +2x) +3
Then add the square of half the x-coefficient inside parentheses. Add the opposite of that amount outside parentheses.
f(x) = -(x² +2x +1) +3 +1
Write in vertex form.
f(x) = -(x +1)² +4 . . . . . . . compare to a(x -h)² +k
You can see that the vertex is (h, k) = (-1, 4), and that the vertical scale factor 'a' is negative. This means the vertex is the maximum and the parabola opens downward.
The function will be increasing to the left of the maximum, decreasing to its right.
__
Vertex: (-1, 4)
Maximum: f(-1) = 4
Increasing: (-∞, -1)
Decreasing: (-1, ∞)
Graph: see attached
Answer:
Q1: 
Q2: 
Step-by-step explanation:
The derivative of the product of two functions is:


The derivative is the product of the first function and the derivative of the second function added to the product of the second function and the derivative of the first function.
Q1: The function you are given is:

You can think of that function as the product of functions
and 
We first find the derivatives of functions u and v:
and 
Now we follow the rule above:


Use the commutative property to change the order of the sum.

This is the solution you have.
Q2: The function you are given is:

You can think of that function as the product of functions
and 
We first find the derivatives of functions u and v:
and 
Now we follow the rule above:

