Answer:
(f + g)(x) = 3x² + x + 5
(f - g)(x) = 3x² - x - 3
Step-by-step explanation:
(f + g)(x) → f(x) + g(x) → <u>3x² + 1</u> + <u>x + 4</u>
Combine like terms and you get: 3x² + x + 5
(f - g)(x) → f(x) - g(x) → <u>3x² + 1</u> - (<u>x + 4</u>)
Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3
Answer: 108 degrees
============================================================
Explanation:
Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle.
If we draw a line from A to C, it will pass through the center of the circle.
Therefore, arc AC is 180 degrees as this is half the distance around the circle.
minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108
minor arc CD is 108 degrees
Answer:
(x, x2 -2x+8) where −5 ≤ x ≤ 3
Step-by-step explanation:
The given function is f(x)=x2- 2x+ 8
We want to select the option that describes all the solutions to the parabola.
The domain of the parabola is −5 ≤ x ≤ 3.
This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.
This can be rewritten as (a,-a2- 2a+ 8)
Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:
(x, x2 -2x+8) where −5 ≤ x ≤ 3.
The answer would be Always
Hope this helped! :D
Answer: 2
Step-by-step explanation:
Given
The polynomial is 
is divided by 
According to the remainder theroem
Put 
in the polynomial to get the remainder
So, we get the remainder 2.
