Answer:
1/4
Step-by-step explanation:
The inverse function tells you the input value that corresponds to the given output value of the function.
<h3>Application</h3>
You want f^-1(3), which is the value of x such that f(x) = 3.
f(x) = 3 = 4x +2
1 = 4x . . . . . . subtract 2
1/4 = x . . . . . divide by 4
The inverse function of 3 is 1/4:
Answer:
Step-by-step explanation:
Assuming there is a punitive removal of one point for an incorrect response.
Five undiscernable choices: 20% chance of guessing correctly -- Expectation: 0.20*(1) + 0.80*(-1) = -0.60
Four undiscernable choices: 25% chance of guessing correctly -- Expectation: 0.25*(1) + 0.75*(-1) = -0.50
I'll use 0.33 as an approzimation for 1/3
Three undiscernable choices: 33% chance of guessing correctly -- Expectation: 0.33*(1) + 0.67*(-1) = -0.33 <== The approximation is a little ugly.
Two undiscernable choices: 50% chance of guessing correctly -- Expectation: 0.50*(1) + 0.50*(-1) = 0.00
And thus we see that only if you can remove three is guessing neutral. There is no time when guessing is advantageous.
One Correct Answer: 100% chance of guessing correctly -- Expectation: 1.00*(1) + 0.00*(-1) = 1.00
Answer:
y = -3x - 3
Step-by-step explanation:
First, determine the slope of the red line. As we move from (0, 3) to (1, 0),
x increases by 1 and y decreases by 3. Hence, the slope, m, is
m = rise / run = -3 / 1, or m = -3.
The desired new line, parallel to the red line, has the same slope as the red line: m = -3.
The equation for this new line is y - k = m (x - h), where (h, k): (-1, 0):
We get y - 0 = -3 (x + 1), or y = -3x - 3.
Check: Does this line go thru the given point (-1, 0)?
Is 0 = -3(-1) - 3 true? Yes, it is true.
