Question

2. Determine whether the function is linear or quadratic Identify the quadratic, linear, and constant termsy-(x - 5)(5x+4)-5xlinear functionlinear term: 15xconstant term: -25quadratic functionquadratic term: 5x?linear term: 15xconstant term: -25quadratic functionquadratic term: -5x2linear term: -21xconstant term: -20linear functionlinear term: -21xconstant term: -20Congratulations! You haycompleting one or moreuncheck"Hide excused

Answer 1

Let's simplify the function (using distributive property and adding/subtracting like terms). Steps shown below:

$\begin{gathered} y=(x-5)(5x+4)-5x^2 \\ y=5x^2+4x-25x-20-5x^2 \\ y=-21x-20 \end{gathered}$

This is a function of the form y = mx + b, which is a linear function.

The part "mx" is the linear term and "b" is the constant term.

Matching equation with the functional form, we see >>>

Linear Term = -21x

Constant Term = -20

Thus,

This is a linear function with linear term -21x and constant term -20.

From answer choices, the last answer choice is right.