Three hundred eighty thousand, one hundred two and eight hundred four thousandths
Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use
where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use
Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together
And if you look, C matches that exactly.
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
In this problem, 3 items are chosen from a set of 8, hence:
![C_{8,3} = \frac{8!}{3!5!} = 56](https://tex.z-dn.net/?f=C_%7B8%2C3%7D%20%3D%20%5Cfrac%7B8%21%7D%7B3%215%21%7D%20%3D%2056)
Hence option b is correct.
More can be learned about the combination formula at brainly.com/question/25821700
Answer:
x + 10
Step-by-step explanation:
![(x + 6) - 5 + 9 \\ = x + 6 + 4 \\ = x + 10](https://tex.z-dn.net/?f=%28x%20%2B%206%29%20-%205%20%2B%209%20%5C%5C%20%20%3D%20x%20%2B%206%20%2B%204%20%5C%5C%20%20%3D%20x%20%2B%2010)