Answer:
2x-10
Step-by-step explanation:
Using distributive property:
2 times x = 2x
2 times -5 = -10
Answer:
x=3
Step-by-step explanation:
2(x-1)=4
2x-2=4
2x=4+2
2x=6
x=6/2=3
Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
(-2,8),(-1,5),(0,2),(1,-1),(2,-4) are points of the line.
9514 1404 393
Answer:
6
Step-by-step explanation:
If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:
20% = (1/2)(40%)
So, the number of green fish is 2×3 = 6.
_____
If you wanted to, you could write a couple of equations:
y - g = 3
y = 0.60(y +g)
Using the first equation to write an expression for y, we get ...
y = g +3
Using this in the second equation, we have ...
g +3 = 0.6(g +3 +g)
g +3 = 1.2g +1.8 . . . . eliminate parentheses
1.2 = 0.2g . . . . . . . . subtract g+1.8
1.2/0.2 = g = 6 . . . . . divide by 0.2
There are 6 green fish in the aquarium.
