Answer:
The function
is shown by the graph below ⇒ 2nd answer
Step-by-step explanation:
<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>
From the figure:
The curve passes through points (-2 , 0) and (2 , 2)
∵ 
∵ x = -2
- Substitute x by -2
∴ 
∴
⇒ it is impossible no square root for (-) number
∴
is not the function shown by the graph
∵ 
∵ x = -2
- Substitute x by -2
∴ 
∴ 
∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2
∵ x = 2
- Substitute x by 2
∴ 
∴ 
∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2
∴ The function
is shown by the graph below
Answer:
1: -7
2: -7
3:-7
4: 8
5: 8
6: 8
Step-by-step explanation:
for the first one, you do 6-1=5 and then times that by 2 and then simplify that to get -7. for the second one, you do
which is 8+4=12, and divide 24 by that to get 2 and minus nine to get -7. for the 3rd one, you do
+9 first (16+9)= 25, and subtract 39 from that to get 14, then do 4-5=-1 *2=-2, which gets you -7. for 4 , you do 81-25= 56 over 10+8-11=7 which gets you 8. for 5, you do 36-20=16 in parentheses first and then divide 48 by that to get 3 and subtract that to get 8. last, for 6, you do 22-14 to get you 8
Percent of Change:
Difference/Original
(20-16)/16 = 4/16 = 1/4 = 25% increase
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792