Answered

Connect with a community that values knowledge and expertise on IDNLearn.com. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

b) Given the function:

[tex]\[ f(x) = 2x^2 - 5x \][/tex]

Identify the coefficients:

[tex]\[ a = \_ \quad b = \_ \quad c = \_ \][/tex]

Sagot :

GinnyAnsweridn
To identify the coefficients in the quadratic function, we need to compare it with the general form of a quadratic equation, which is given by:

[tex]\[ ax^2 + bx + c = 0 \][/tex]

Let's analyze the given quadratic function:

[tex]\[ f(x) = 2x^2 - 5x \][/tex]

We will match the terms in this function to those in the general form.

1. The coefficient of [tex]\( x^2 \)[/tex] is [tex]\( a \)[/tex].
2. The coefficient of [tex]\( x \)[/tex] is [tex]\( b \)[/tex].
3. The constant term is [tex]\( c \)[/tex].

Looking at the function [tex]\( f(x) = 2x^2 - 5x \)[/tex]:

- The coefficient of [tex]\( x^2 \)[/tex] (which is [tex]\( a \)[/tex]) is 2.
- The coefficient of [tex]\( x \)[/tex] (which is [tex]\( b \)[/tex]) is -5.
- There is no constant term (which means [tex]\( c \)[/tex] is 0).

Thus, the coefficients are:

[tex]\[ a = 2 \][/tex]
[tex]\[ b = -5 \][/tex]
[tex]\[ c = 0 \][/tex]

So, the final answer is:

[tex]\[ a = 2, \quad b = -5, \quad c = 0 \][/tex]
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.