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MAVERICK [17]
2 years ago
9

What is 25% out of 120

Mathematics
2 answers:
erastova [34]2 years ago
6 0
I think the answer is 30
Rina8888 [55]2 years ago
5 0

I assume, that the number 120 is 100% - because it's the output value of the task.

If 120 is 100%, so we can write it down as 120=100%.

We know, that x is 25% of the output value, so we can write it down as x=25%.

<em>Now we have two equations:</em>

<em>1) 120=100% </em>

<em>2) x=25%</em>

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

<em>120/x=100%/25%</em>

<em>Solution for what is 25% of 120:</em>

<em>120/x=100/25 </em>

<em>(120/x)*x=(100/25)*x   - we multiply both sides of the equation by x </em>

<em>120=4*x   - we divide both sides of the equation by (4) to get x </em>

<em>120/4=x  </em>

<em>30=x  </em>

<em>x=30</em>

<em>The answer is: 25% of 120=30</em>

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The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x –  11)² – 57.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadrattic equation is f(x) = 2x² – 44x + 185.

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f(x) = 2(x^2 - 22x )+ 185

Add and subtract 121, we have

f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57

And we know that the standard equation

f(x) = a(x - h)² + k

On comparing, we have

The vertex (h, k) is (11, -57).

More about the quadratic equation link is given below.

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