Answer:
(f-g)(x) = - 3 x² + 3 x -6
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given function f(x) = x² + x - 5
g(x) = 4 x² - 2 x + 1
(f-g)(x) = f(x) - g(x)
= x² + x - 5 - (4 x² - 2 x + 1)
= x² - 4 x² + x + 2 x - 5 -1
= - 3 x² + 3 x -6
(f-g)(x) = - 3 x² + 3 x -6
Answer:
m=243/4 when v=9.
Step-by-step explanation:
We know that when y varies directly with x², the formula of direct proportion is
where 'k' is the constant of variation.
so
As m varies directly with v², and m=3 when v=2
m=kv²
k=m/v²
= 3/(2)²
=3/4
Hence, k=3/4
so when v=9 then the expression becomes
m=kv²
substituting v=9 and k=3/4
m= 3/4(9)²
=3/4 × 81
=243/4
Therefore, m=243/4 when v=9.
Answer:
2.64575131106
Step-by-step explanation: