The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Here, a graph is given.
We need to find which of the given rational functions is graphed in the figure.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = 2 and at x = -5.
Corresponding to x = 2, factor is (x - 2) .
Corresponding to x = -5, factor is (x + 5) .
So, this graph is of the rational fraction
Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
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Answer:
20.
Step-by-step explanation:
When x = 2
f(x= 3(2)^3 + 2^2 - 8
= 24 + 4 - 8
= 20.
Answer:
x=1
Step-by-step explanation:
Since both lines have 1 as it x value, x=1 is the line
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.

Let's plug in our numbers and variable.

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
54° × π/180 = 0.9425radians