Answer:
f(x) + g(x) = x² - 10x + 9
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 11x + 18
g(x) = x - 9
<u>Step 2: Find f(x) + g(x)</u>
- Substitute: f(x) + g(x) = x² - 11x + 18 + x - 9
- Combine like terms (x): f(x) + g(x) = x² - 10x + 9
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Answer:

Step-by-step explanation:
The most straightforward way is direct substitution of g(x) for x in f(x):

First, we need to find the LCD (Least Common Denominator) so we can subtract them much easier.
An easy way to find the LCD is to just multiply the denominators together: So 2 • 5 = 10
We have to do the same to the numerators too though.
1/2 (5) = 5/10
2/5 (2) = 4/10
Now, the remade expression is:
5/10 - 4/10 which will equal 1/10.
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Answer: See explanation
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.
Triangle inequality: 1 < x < 7
Hope that helped!
Answer: The answer is b 100+(-500)
Step-by-step explanation: If you solve for the original and this answer, they will both equal -400