<span>f(x)=(<span><span>3x−1)/</span>2<----Starter </span></span>
y = (3x-1)/2
switch x and y
x = (3y-1)/2
2x = 3y-1
2x+1 =3y
y = 2/3*x + 1/3
f^(-1) (x) = 2/3*x + 1/3
f^(-1) (4) = 2/3*4 + 1/3 = 8/3 + 1/3 = 9/3 = 3
I hope this helps. ;)
Answer:
Step-by-step explanation:
the diameter is the measurement that is all the way across the circle which is given to you so the diameter is 7cm. To find the radius it is half the way across the circle so it is half the diameter so in this case the radius would be 3.5cm
Answer:
Negative 4 and one-third divided by -3/4
Step-by-step explanation:
-4 1/3 / - 3/4
-4(3) +1 = -13/4
Divided by -3/4
-13/4 (-4/3) = 52/12
4 and 1/3
9514 1404 393
Answer:
(c) A = 38.13 square inches; P = 23.42 inches
Step-by-step explanation:
The radius of the circle is half the diameter, so is 3 inches. This means the entire figure will fit in a rectangle 6 inches wide and 4+3 = 7 inches high. The perimeter of such a rectangle is ...
P = 2(L+W) = 2(7+6) = 26 inches
The area of that rectangle is ...
A = LW = (7)(6) = 42 square inches
Then area of the given figure is less than 42 square inches, and the perimeter is less than 26 inches. The only answer choice that matches these bounds is ...
A = 38.13 square inches; P = 23.42 inches
You roll a die with the sample space S = {1, 2, 3, 4, 5, 6}. You define A as {1 ,4, 6}, B as {1, 3, 4, 5, 6}, C as {1, 5}, and D
Lilit [14]
Answer:
Step-by-step explanation:
Recall that two events A,B are called mutually exclusive if and only if
(their intersection is empty). They are exhaustive if they are mutually exclusive and their union is the sample space.
Based on this
a) Note that
, so they are not mutually exclusive nor exhaustive.
b)
so they are not mutually exclusive nor exhaustive.
c)
, so they are mutually exclusive. Note that
. Then they are exhaustive.
d)
, so they are not mutually exclusive nor exhaustive.