Answer:
The slope of the graph is 5, and the y-intercept is (0, -3).
Step-by-step explanation:
Let's start by finding the y-intercept.
The y-intercept is the point where the line intercepts the y-axis.
Looking at the graph, we can determine that the y-intercept is (0, -3).
The slope of a graph can be found using two points on the line.
Let's use (0, -3) and (1, 2):
Therefore the slope of the graph is 5, and the y-intercept is (0, -3).
Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.
18 * 2 = 36
36 * 2 = 72
There, it means that 18/2 will be subtracted from 20.
20 - 18/2
= 20 - 9
= 11
The next number in the sequence would be 11. Hope this helps!
<span>In the function "y=x2-18x" the goal is to find the value of the letter x. We know that y equals x2-18x. First, recognize that x2 is the same thing as 2x. So changing the problem to "y=2x-18x". We can subtract 18x from 2x, which leaves us with -16x. Now the problem looks like this: y=-16x. In order to get x by itself, we will need to do the same thing to both sides of the equation. In this case, we want the answer to be x by itself, or (1x) which is the same thing. We divide both sides of the equation by (-16). We are left with the following: y/-16=x. Basically, in words, x equals y divided by negative 16.</span>
Answer:
f(x) = 3x^2 - 12x - 36.
Step-by-step explanation:
f(x) =3 /2(x - 2)^2 - 24
f(x) = 3/2 (x^2 - 4x + 4) - 24
f(x) = 3/2 x^2 - 6x + 6 - 24
f(x) = 3/2 x^2 - 6x - 18
Multiply through by 2:
f(x) = 3x^2 - 12x - 36.
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
