Answer:
I kinda forgot how to do this but just to let you know the last question is off the screen.
Step-by-step explanation:
X + y = 47
x = y + 13
y + 13 + y = 47
2y + 13 = 47
2y = 47 - 13
2y = 34
y = 34/2
y = 17
x = y + 13
x = 17 + 13
x = 30.....longer piece is 30 inches
3.4x - 7.2 = 5.8x + 24
3.4 - 5.8x = 24 + 7.2
-2.4x = 31.2
-2.4x / -2.4 = 31.2 / -2.4
x = -13
Answer:
n = 15
Step-by-step explanation:
For inputs of the value of n, the running time for the algorithm A is 100n^2 and that of B is 2^n.
If A is to run faster than B, 100n^2 must be smaller than 2^n.
Let's check from n = 1 to know the value of n that fits
n = 1
100(1)^2 > 2^1
100 > 2
n = 2
100(2)^2 > 2^2
400 > 4
n = 4
100(4)^2 > 2^4
1600 > 16
n = 8
100(8)^2 > 2^8
6400 > 2^8
n = 16
100(16)^2 < 2^16
25600 < 2^16
This implies that between n = 8 and 16, A starts to run faster than B
n = (8+16)/2 = 12
100(12)^2 > 2^12
14400 > 2^12
n = (12+16)/2 = 14
100(14)^2 > 2^14
19600 > 2^14
n = (14+16)/2
n = 15
100(15)^2 < 2^15
22500 < 2^15
At n= 15, A starts running faster than B
