Answer:
5
Step-by-step explanation:
(3,8) (0,4)
X1 = 3 X2 = 0
Y1 = 8 Y2 = 4
Do what's in the parentheses so...
- 3-0= 3
- 8-4= 4
Now plug it in!
Now you are going to finish the parentheses so...
- (3)^2= 9
- (4)^2= 16
Plug that in so that you have this...
Add 9+16 to get...
Then you are going to find the number or numbers that make this a perfect square...
So 5 is your answer
Answer:
<h3>
<em><u>I</u></em><em><u> </u></em><em><u>think</u></em><em><u> </u></em><em><u>option</u></em><em><u> </u></em><em><u>C</u></em><em><u>.</u></em></h3>
<em><u>(</u></em><em><u>x-6</u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u>x-8</u></em><em><u>)</u></em><em><u>.</u></em>
Answer:
Step-by-step explanation:
20% of 30 is 6 are randomly selected.
30 choose 6 = 30! / (30-6)! 6!
= 30! / 24!6!
= 30 * 29 * 28 * 27 * 26 * 25
--------------------------------- <-- 24! cancels
6 * 5 * 4 * 3 * 2 * 1
= 29 * 28 * 27 * 26 * 25
---------------------------------- <--- 30 = 6 * 5 cancels
4 * 3 * 2 * 1
= 29 * 7 * 9 * 13 * 25 <-- 4 cancels 28, 3 cancels 27, 2 cancels 26
= 593775
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
So in this case P = 2000, i = 0.045, and t = 5.
Just substitute, those numbers into the equation, getting you 2000(1+0.045)^5
This then becomes 2000(1.045)^5
Which gets you about 2492.36, or B.
