Answer:
12/5
Step-by-step explanation:
tan A = opp/adj
For angle theta, 12 is the opposite leg.
13 is the hypotenuse.
We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 25
The adjacent leg has a length of 5.
tan theta = opp/adj
tan theta = 12/5
Answer: 12/5
Answer:

Step-by-step explanation:
<u>Functions</u>
In a function, an independent variable, let's call it x is related to a dependent variable y and it can be expressed as:
y = f(x)
Let's consider the functions given in the question, where the equation that represents a company's yearly sales is:

And the equation that represents the same company's yearly expenses is:

The company's profit function P(x) can be found as the difference between S(x) and E(x), thus:

Operating:

Simplifying, the profit function for this company is:

• The following formula can be used to find the slope of a line:

These points are on the line:

Given the following points:

Then, you can set up that:

Therefore, substituting values into the formula and evaluating, you get:

• As you can notice, the slope is negative. Therefore, you can determine that it is decreasing.
Therefore, the answers are:
• Slope of the line:

• It is decreasing.
Sum= addition
times= multiplication
at least= ≥
"At least" means the left side of the equation cannot be any less than 11. The left side will be at least/at minimum 11.
2x + 1 ≥ 11
subtract 1 from both sides
2x ≥ 10
divide both sides by 2
x ≥ 5
ANSWER: x ≥ 5; x is greater than or equal to (or "at least") 5
Hope this helps! :)