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:
Addison scored a better score on the test.
Step-by-step explanation:
Elaine's score can be found by dividing 19 by 24, which yields a result of 0.7916, which means her score is a 79 out of 100 (79%). Her score can also be found by doing 100/24 = 4.16666 repeating and multiplying that by 19, which also yields 79.6. Hope this helps!
Answer - 288
Step-by-step explanation:
i use the formula V=a2 h/3
Answer:
A. The circle has been shifted 3 units to the right and 8 units down, r=6
Step-by-step explanation:
Recall that the equation of a circle is 
where 
is the center of the circle and 
is the radius.
Given that the equation is 
, this tells us that the center of the circle is at 
and the radius is 
. Since the value of 
represents the amount of horizontal shift from the origin and 
represents the amount of vertical shift from the origin, then the circle was shifted 3 units to the right and 8 units down.
