Find Out the Amazing Value of F(X) at X = -5 with this Catchy Equation!

If F(X) = 5x + 40, What Is F(X) When X = –5?

If f(x) = 5x + 40, when x = -5, f(x) equals 15.

Have you ever wondered what happens to a function when you substitute a specific value for its variable? In the case of the function F(x) = 5x + 40, we can explore this by finding out what F(x) equals when x is equal to -5. By plugging in -5 for x in the equation, we can calculate the value of F(x) and unlock a deeper understanding of how functions work. Let's dive into the world of mathematics and discover what F(x) becomes when x takes on the value of -5.

Introduction

When dealing with algebraic functions, it is important to understand how to evaluate them for specific values of the variables involved. In this article, we will explore the function f(x) = 5x + 40 and determine its value when x is equal to -5. By substituting the given value into the function, we can calculate the result and gain a better understanding of how the function behaves.

The Function f(x) = 5x + 40

The given function f(x) = 5x + 40 represents a linear equation. It consists of two terms: 5x, which represents the coefficient of x, and 40, which is a constant term. This function indicates that the value of y (or f(x)) is obtained by multiplying the input x by 5, then adding 40 to the result.

Substituting x = -5

In order to find the value of f(x) when x = -5, we need to substitute -5 into the function in place of x. This process allows us to evaluate the function for the given value. Let's proceed with the substitution.

Step 1:

Replace x with -5 in the function f(x) = 5x + 40:

f(-5) = 5(-5) + 40

Step 2:

Simplify the expression by performing the multiplication and addition:

f(-5) = -25 + 40

Step 3:

Add the numbers -25 and 40:

f(-5) = 15

Result: f(x) = 15

After evaluating the function f(x) = 5x + 40 with x = -5, we find that the result is f(-5) = 15. This means that when x is equal to -5, the value of f(x) is 15.

Interpreting the Result

The result obtained from evaluating the function at x = -5 provides us with valuable information about the behavior of the function. In this case, since the coefficient of x is positive (5), it indicates that as x decreases, the value of f(x) also decreases. Thus, when x = -5, the result is 15.

Conclusion

By substituting -5 into the function f(x) = 5x + 40, we have determined that f(-5) equals 15. This process allows us to evaluate the function for a specific value of x and gain insights into its behavior. Understanding how to substitute values and evaluate functions is crucial in algebraic mathematics and helps us analyze and interpret various mathematical models and real-world situations.

Understanding the equation F(x) = 5x + 40

In order to determine the value of F(x) when x = -5, it is essential to first understand the equation itself. The equation F(x) = 5x + 40 represents a linear function, where F(x) is the dependent variable and x is the independent variable. The coefficient of x, which is 5 in this case, indicates the rate of change or slope of the line, while the constant term, 40, represents the y-intercept or the value of F(x) when x equals zero.

Examining the specific value of x in the equation

Now that we have a clear understanding of the equation, let's focus on the given scenario. We are asked to find the value of F(x) when x = -5. This means that we need to substitute -5 for x in the equation and perform the necessary calculations to obtain the result.

Replacing x with the given value, -5

The next step involves substituting x with -5 in the equation F(x) = 5x + 40. By doing so, we can evaluate the expression and determine the value of F(x) when x equals -5.

Solving the equation with the substituted value

Now, let's delve into the calculation process to find F(x) when x = -5. By plugging in -5 for x in the equation F(x) = 5x + 40, we get:

F(-5) = 5(-5) + 40

Breaking down the mathematical operation

To simplify the equation further, we follow a step-by-step approach. First, we multiply -5 by 5 and then add the result to 40.

Understanding the impact of multiplying -5 by 5

Multiplying -5 by 5 yields -25. This step determines the rate of change or slope of the linear function. Since the coefficient of x is positive, -5 multiplied by 5 results in a negative value, indicating a downward slope.

Determining the final value of F(x) by adding the result to 40

After multiplying -5 by 5, we add the result, -25, to 40. The addition process determines the y-value or the value of F(x).

F(-5) = -25 + 40

Considering the sequence of calculations with the order of operations

It is important to keep in mind the order of operations, commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). In this case, there are no parentheses or exponents involved, so we can proceed with multiplication and addition.

Revealing the numerical solution for F(x) when x = -5

By performing the necessary calculations, we obtain:

F(-5) = 15

Discussing the meaning of the obtained result in the context of the original equation

The final answer for F(x) when x = -5 is 15. This means that when x is -5, the corresponding value of F(x) is 15 according to the given equation F(x) = 5x + 40. Therefore, the point (-5, 15) lies on the graph of the linear function represented by the equation. This interpretation allows us to understand the relationship between x and F(x) in the context of the specific scenario given.

When given the function f(x) = 5x + 40, we are asked to determine the value of f(x) when x = -5. Let's solve this step by step:

Substitute x = -5 into the given function:

f(-5) = 5(-5) + 40

Perform the multiplication and addition:

f(-5) = -25 + 40

f(-5) = 15

Therefore, when x = -5, the value of f(x) is 15.

Thank you for visiting our blog and taking the time to read our article on the function F(x) = 5x + 40. In this post, we will be discussing what F(x) is when x = -5. So without further ado, let's dive right into it!

When we are given the function F(x) = 5x + 40, and we want to find the value of F(x) when x = -5, we simply substitute -5 in place of x in the equation. By doing so, we get:

F(-5) = 5(-5) + 40
F(-5) = -25 + 40
F(-5) = 15

So, the value of F(x) when x = -5 is 15. It is important to note that when we substitute a value for x in any given function, we are essentially finding the output or the y-value corresponding to that particular x-value. In this case, when x = -5, the output or the value of F(x) is 15.

In conclusion, when x = -5, the value of the function F(x) = 5x + 40 is 15. We hope this article has provided you with a clear understanding of how to calculate the value of a function at a specific point. Feel free to explore other articles on our blog for more interesting topics and mathematical concepts. Thank you once again for visiting, and we hope to see you soon!

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