Answer:
X=-7/3
Step-by-step explanation:
hope this helps
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:
540°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive 
points when they win and 
point when they tie. One season, a team won a championship with 
points. They won 
more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have 
let the number of ties hockey team have 
Now,
Hockey teams receive points when they win and point when they tie.
They won more games than they tied
Solving both equations we get
Hence, the hockey team have 
wins and 
ties.
Answer:
-5
Step-by-step explanation:
Here,
t2-t1=20-25=-5
t3-t2=15-20=-5
t4-t3=10-15=-5
t5-t4=5-10=-5
