Answer:
The probability is 1/5, or 20%
Step-by-step explanation:
There are 40 total items in the bag, and 8 of them are peanuts.
simplified is 
Answer:
The exact distance between the two points is 10
Step-by-step explanation:
Answer:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x³
k(x) = - 3 x + 1
Step-by-step explanation:
The function notation ⇒ it is the form to write the function, It is meant to be a precise way of giving information about the function, like f(x) , v(x) and so on.
Given the following:
g(x) = 5x + 2.
y = 1 x
h = x²
r(x) = x
f/x = x⁵ - 3
b(x) = 1/2 x³
p/x = -7x
k(x) = - 3 x + 1
y = mx + b
fx = -x³ + 4
So, in the given options the following are in function notations:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x³
k(x) = - 3 x + 1
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
