Step-by-step explanation:

The answer is c
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First, we have to find x- and y-intercepts of given equation.
1. y-intercept is a point (0, y) so substitute x = 0 and calculate:

y-intercept =
(0, -3)
2. x-intercept is a point (or points) (x, 0), so when we substitute
y = 0 there will be:

x-intercept =
(3, 0)
Now, when we have x- and y-intercepts, we can write an equation of a line (graph of the linear function) that passes through this two points
:

Our linear equation is:
y = x - 3
Answer:
f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x⁹ - x⁸ + 3x³ - 8
g(x) = -5x⁹ - 5x³ - 5x² + 5
<u>Step 2: Find f(x) - g(x)</u>
- Substitute: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)
- Distribute -1: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5
- CBT (x⁹): f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5
- CBT (x³): f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5
- CBT (Z): f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
And we have our final answer!