Answer:
There's no negative sign in front of the absolute value so it opens upward. As for the vertex, the x value will be whatever makes what is in the absolute value symbols 0 which is 2.5 in our case and the y-coordinate is 3 so the vertex is (2.5, 3).
Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Solution:-
- We will closely inspect each Table and find the difference between each "Y" value at every unit increase in "x" value:
Table A:
X Y ΔY/ΔX
1 5 xxxxxx Exponential because [ ΔY/ΔX ]
2 11 11 - 5 = 6 increases at the fastest rate out of all
3 29 29 - 11 = 18 functions.
4 83 83 - 29 = 54
5 245 254 - 83 = 171
6 731 731 - 254 = 477
Table B:
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx Quadratic because
1 7 7 - 5 = 2 xxx Δ^2Y/ΔX^2 is a constant
2 13 13 - 7 = 6 6-2 = 4 for all quadratic functions
3 23 23 - 13 = 10 10-6 = 4
4 37 37 - 23 = 14 14-10 = 4
5 55 55 - 37 = 18 18-14 = 4
Table C:
X Y ΔY/ΔX
3 20 xxxxxx Linear because
6 18 2 / 3 ΔY/ΔX is a constant
9 16 2 / 3 for all linear functions
15 12 2 / 3
27 4 8/12 = 2/3
39 -4 8/12 = 2/3
The answer is A. Twenty-five is 65% of what number?
Why? This is due to how if you multiply 'w'(the number) by 0.65(65%) then you get 25. This indicates that whatever the number is, if it is multiplied by 65% it equals 25. Thus concluding that 25 is 65% of the unknown number.
I hope that helps, have a great rest of your day! ^ ^
{-Ghostgate-}
Answer:
Q1 = 61
Q3 = 63
Step-by-step explanation:
From the plot attached :
Data obtained is :
Temperature frequency
59 0
60 2
61 3
62 3
63 4
64 2
65 1
Frequency Total 15
Data in raw format :
60,60,61,61,61,62,62,62,63,63,63,63,64,64,65
The first quartile :
Q1 = 1/4(n+1)th term
n = 15
Q1 = 1/4(15+1)th term
Q1 = 1/4 * 16th
Q1 = 4th term
Q1 = 61
Third quartile (Q3):
Q3 = 3/4(n+1)th term
n = 15
Q3 = 3/4(15+1)th term
Q3 = 3/4 * 16th
Q3 = (48/4)th term
Q3 = 12th term
Q3 = 63
Answer:
since X would be equal to 9, x + 2 would be equal to 11
