4x-2 + 7x-18 + 6x+6 = 360 degrees
combine like terms
17x-14 = 360
add 14 to both sides
17x =374
divide both sides by 17
x = 374 / 17 = 22
JL = 7x-18
replace x with 22 and calculate
7(22) - 18 = 154 -18 = 136 degrees
70 + 1 = 71
Hope I Helped!
Answer:
(i) (f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2
Step-by-step explanation:
The given functions are;
f(x) = x² + 3·x + 2
g(x) = x + 1
(i) (f - g)(x) = f(x) - g(x)
∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1
(f - g)(x) = x² + 2·x + 1
(ii) (f + g)(x) = f(x) + g(x)
∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3
(f + g)(x) = x² + 4·x + 3
(iii) (f·g)(x) = f(x) × g(x)
∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2
(f·g)(x) = x³ + 4·x² + 5·x + 2
Answer:
(a) The ones that are equivalent to the given fraction are: 
and 
(b) The one that is equivalent to the given fraction is: 
In order to calculate that, you have to divide 6 from 13
It would be: 13/6 = 2.167
In short, Your Answer would be 2.167
Hope this helps!
