Answer:
A.
Step-by-step explanation:
So we are given the function:

To find the inverse of the function, we simply need to flip <em>f(x)</em> and <em>x</em> and then solve for <em>f(x)</em>. Thus:

So the answer is A.
Answer:
-62
Step-by-step explanation:
y³ – 2y (y – 5) + 13
when y = -3
y³ – 2y (y – 5) + 13
=(-3)³ – 2(-3) [ (-3) – 5] + 13 (by PEDMAS, evaluate parentheses first)
=(-27) + (6) (-8) + 13 (next do multiplication)
=(-27) + (-48) + 13
= -27 - 48 + 13
= -62
The total area of a circle is pi * radius^2
The total area of the circle is pi x 5^2 = 25pi sq. cm.
2/5 of this is success, so the answer is 2/5 * 25pi = 10 pi sq. cm.
Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r =
← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 =
( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r =
← equation of variation
When p = 2 and q = 3, then
r =
=
= 8