Answer:
x-2y=0 is a direct variation
Step-by-step explanation:
Direct variation is of the form
y= kx
Can we get the equation in that form
x-2y =0
Add 2y to each side
x-2y+2y =0_2y
x=2y
Divide each side by 2
x/2 = 2y/2
1/2x =y
Flip the sides
y = 1/2x
This is of the form y= kx where k = 1/2
x-2y=0 is a direct variation
Answer:
The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300
Step-by-step explanation:
A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:
m = (y2 - y1)/(x2 - x1)
m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700
Then we can use the slope and the first point to build the equation:
p - 9000 = 700*(t - 2009)
p = 700t - 1406300 + 9000
p = 700t - 1397300
Answer:
5
Step-by-step explanation:
3 bears = 3
1 bear = 3 ÷ 3
1 bear = 1
2 glasses + 1 bear = 5
2 glasses + 1 = 5
2 glasses = 5 - 1
= 4
1 glasses = 4 ÷ 2
1 glasses = 2
1 Cyxus + 1 bear + 1 Cyxus + 1 glasses = 9
2 Cyxus + 1 + 2 = 9
2 Cyxus = 9 - 1 - 2
= 6
1 Cyxus = 6 ÷ 2
1 Cyxus = 3
1 glasses + 1 bear + 1 glasses + 1 Cyxus - 1 bear - 1 glasses = ?
2 + 1 + 2 + 3 - 1 - 2 = 5
Answer:
4
Step-by-step explanation:
Use the property of logs: a ln b = ln (b^a)
Also e and log are inverses, so the cancel each other
