Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
Answer:
Option D:

Step-by-step explanation:
Differential equation:
For the population in function of the time, is:

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population
Carring capacity is 2400.
This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity). So

So the answer is given by option D.
Answer:
30 people
Step-by-step explanation:
If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.
So basically each of the tile sides measure one foot, since one foot = 12 inches.
We will call one of the tiles a unit.
And since the room is 14 feet by 10 feet, we can multiply the two dimensions together to see how many units fit into the room.
14 * 10 = 140
And so now we know that we need 140 tiles.
And since each tile costs $1.25, we can multiply that by 140 to get the total cost.
1.25 * 140 = $175
So it will cost Emma $175 to complete her project.
Answer:
B 39.75
Step-by-step explanation:
7.5x5.3=?