Answer:
b
Step-by-step explanation:
Parallel lines have the same slope. The equation of the parallel line is therefore:
y = x + b
Plug in the values you are given to find b:
2 = -3 + b
b = 5
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Write equation
2x - 5y = 10
Step 2: Solve for <em>y</em>
- Subtract 2x on both sides: -5y = 10 - 2x
- Divide both sides by -5: y = -2 + 2/5x
- Rewrite: y = 2/5x - 2
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Answer: x = 6V/bh
Explanation:
V = 1/6 bhx
V = (bh/6)x
V • 6/bh = x
6V/bh = x
