h(30) = 10 + 0,15(30) + 0,005(30)² - AIKO, infinite ways to autonomy.

Understanding the Quadratic Equation: h(30) = 10 + 0.15(30) + 0.005(30)²

When evaluating mathematical expressions involving variables, quadratic equations often arise in science, engineering, and finance. One such example is the equation:

h(30) = 10 + 0.15(30) + 0.005(30)²

Understanding the Context

This formula represents a quadratic function, widely used to model relationships that change non-linearly. In this article, we’ll analyze the equation, compute h(30), and explore the significance of quadratic functions in practical applications.

What is a Quadratic Equation?

A quadratic equation takes the general form:

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Key Insights

f(x) = ax² + bx + c

Where:

a, b, and c are constants,
x is the variable,
x² represents the squared term.

The presence of the x² term produces a parabolic shape—either open upward (if a > 0) or downward (if a < 0)—enabling modeling of curved relationships.

In the given expression:

a = 0.005
b = 0.15
c = 10
The input value is x = 30

Substitute into the formula:

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Final Thoughts

h(30) = 10 + 0.15(30) + 0.005(30)²

Step-by-Step Calculation of h(30)

Compute 0.15 × 30
0.15 × 30 = 4.5
Compute (30)²:
30² = 900
Compute 0.005 × 900:
0.005 × 900 = 4.5

Now add all terms:
h(30) = 10 + 4.5 + 4.5 = 19

Final result: h(30) = 19