Answer:
g(-4) = -1
g(-1) = -1
g(1) = 3
Explanation:
If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.
For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.
Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.
As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.
It is a coincidence that g(-1) = -1.
Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.
We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3
Answer:
The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
Step-by-step explanation:
The data provided is:
Opinion
Front Footage For Undecided Against Total
Under 45 feet 12 4 4 20
45-120 feet 35 5 30 70
Over 120 feet 3 2 5 10
Total 50 11 39 100
The formula to compute the expected frequency is:
Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:
Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The correct option is A.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The slope of the parallel line is always equal. Given the slope of the green line is -3/7, also, it is parallel to the red line. Therefore, the slope of the red line is -3/7.
Hence, the correct option is A.
Learn more about Line:
brainly.com/question/21511618
#SPJ1
There would be a 10% chance that they would have the same birthday
Step-by-step explanation:
20x+5=24x-1
4x=6
x=3/2
