Answer:
The relation between inputs and outputs is given by an equation called the equation of function. Since the outputs are also real values, hence, reasoning by analogy, you may use the arithmetical operation between functions (addition, subtraction, multiplication, division) to produce new functions.
Answer:y=415 x = 21.5
Step-by-step explanation:
We can see 4x-37 = 49
4x = 86
x = 21.5
4(21.5) -3 = 83
Then we can see what the other side is because they are equal
y/5 = 83
83 x 5 = 415
y=415
The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
<h3>How to determine the quadratic equation?</h3>
From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation

This gives

Evaluate the products

Evaluate the like terms

So, we have
f(x) = x²+ 2/3x - 1/9
Read more about quadratic equations at
brainly.com/question/1214333
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To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped