Okay, so first you make f(x) = y and switch x and y. So the equation becomes:
x = y^2 - 16
The next step is to get y by itself. So first you add 16 to both sides:
x + 16 = y^2
Now you square root everything, so the final answer is going to be:
the square root of x + 4 = y
Answer:
1/8 pound of trail mix in each bag.
Step-by-step explanation:
She divides it into bags
4 1/2 ÷ 4 = 1/2 x 1/4 = 1/8 pound
Answer:
- local minimum at x = -3-2√14
- local maximum at x = -3+2√14
Step-by-step explanation:
The first derivative simplifies to ...
d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2
This has zeros that can be found by the usual methods of solving quadratics:
x = -3 ±2√14
The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)
We want to get the expected value for the given experiment. We will see that the expected value is $2.33
For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have 3 outcomes:
- x₁ = winning $8
- x₂ = winning $2
- x₃ = winning $0.
For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:
p₁ = 1/6
For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:
p₂ = 3/6
For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:
p₃ = 2/6
Then the expected value is:
EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33
If you want to learn more about expected values, you can read:
brainly.com/question/15858152
