Answer:
A mutually exclusive pair of events are complements to each other. For example: If the desired outcome is heads on a flipped coin, the complement is tails.
Step-by-step explanation:
A function is seen when you know that for every x value there is one y value. An x value cannot be repeated.
In A, the x coordinates are 3, 4, -3, and 2. They are all different.
In B, they are 2, -1, 5, and 4. Again, they are all different.
Both A and B represent functions.
Answer:
1
Step-by-step explanation:
Area of rectangle
lw
So we have to factorise the expression
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+7)(x+6)
So
x+7-(x+6)
x+7-x-6
1
Answer: 22.8 ft. squared
Step-by-step explanation:
5.7 x 8 = 45.6 ÷ 2 = 22.8
area of a triangle = base x height ÷ 2
Answer:
See below.
Step-by-step explanation:
So we have the two functions:

And we want to find:

1)
Recall that:

is the same as:

Thus, we can substitute g(x):

And substitute that into f(x):

Distribute:

Subtract and simplify:

Thus:

2)
Similarly:

Substitute f(x):

Substitute:

Distribute:

Simplify:

Therefore:
