N=9
Since you are multiplying on the right side you have to divide when you bring 0.5 to the left side:
4.5 divided by 0.5 = n
9 = n
x+y=12
x-y=4
Then you solve:
x+y=12
-y -y
x=12-y
x-y=4
+y +y
x=4+y
4+y=12-y
+y +y
4+2y=12
-4 -4
2y=8
divide both sides by 2 to isolate y
y=4
Plug it into one of the equations
x+4=12
-4 -4
x=8
Answer:
k ≈ 0.1733
Step-by-step explanation:
Using the numbers given, we find the multiplier of the population is 800/200 = 4 in 8 hours. This means the equation of growth can be written ...
y = 200(4^(t/8))
When this is written in the form ...
y = 200·e^(kt)
We can compare the two equations to see that ...
4^(1/8) = e^k
Taking natural logarithms, we have ...
1/8·ln(4) = k ≈ 0.1733
The growth rate k is approximately 0.1733.
_____
<em>Additional comment</em>
The comparison we were looking for was (4^(1/8))^t = (e^k)^t. Instead of "comparing" the equations, you could set them equal and solve for k.
200(4^(t/8)) = 200e^(kt)
4^(t/8) = e^(kt) . . . divide by 200
t/8·ln(4) = kt·ln(e) . . . . take natural logs
1/8·ln(4) = k . . . . . . use ln(e) = 1 and divide by t
Answer:
1:12−3z
2:6n
3:11c
4: 12-3z
Step-by-step explanation:
1:
9 - z +3 - 2z
(9+3)+(−z−2z)
<u>12−3z
</u>
2:
n +5n
<u>6n</u>
3:
12c - c
<u>11c</u>
4:
9 - z + 3 - 2z
(9+3)+(−z−2z)
<u>12-3z</u>
<u />
Hope this helped
