<h3>
Answer:</h3>
B. { (3, –2), (3, –4), (4, –1), (4, –3) }
<h3>
Step-by-step explanation:</h3>
Functions are a set of points that show how dependent variables change through independent variables.
Defining a Function
In functions, each x-value is assigned to exactly one y-value. This means that x-values do not repeat. So, if there is one x-value more than once in a set, then it cannot be a function.
For example, set B has the x-value 3 and 4 repeated twice. Thus, it does not represent a function.
Graph of a Function
Functions can also be defined through a graph. Just like with coordinate points, x-values do not repeat on the graph. You can use the vertical line test to see if a graph is a function. If you can draw a vertical line at every point on a graph without it ever intersecting with the graph more than once, then it is a function.
Answer:
(x +1)^2 +(y +0.5)^2 = 22.25
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so is ...
(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)
The circle formula is then ...
(x -h)^2 +(y -k)^2 = r^2
(x -(-1))^2 +(y -(-1/2))^2 = r^2
We can find r^2 by substituting one of the points for (x, y).
(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25
Then the circle equation is ...
(x +1)^2 +(y +0.5)^2 = 22.25
Answer:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
..........solve it like an equation
Answer
500
Step-by-step explanation:
If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.
The way to solve this is if you put it into a proportion.
5/100 = 25/x
5x = (100)(25)
5x = 2500
5x/5 = 2500/5
x = 500
5/100=25/500
