Answer:
(-5, 3)
Step-by-step explanation:
Elimination seems like the best method to use here.
x+y=-2
x-y=-8
---------
2x=-10
Divide everything by two
x=-5
Now plug it back into one of the original equations,
-5+y=-2
Add 5 to everything
y=3
Answer:
6
Step-by-step explanation:
Given
3x - 15 ≥ 3 ( add 15 to both sides )
3x ≥ 18 ( divide both sides by 3 )
x ≥ 6
Since x is greater than or equal to 6 then 6 is a solution
Answer:
The answer is the 3rd one, x is shifted left 6 units and up 2 units.
Step-by-step explanation:
-6 in graphs or coordinate planes, is moving to the left, or moving down. +2 in graphs or coordinate planes can mean moving up, or moving to the right. So the 3rd one is your answer.
Given the first term at t₀ is 6 and the second term at t₃ is 32, let's take rabbit population as a function of time to be:
y = abˣ
where y is the population at time x and a the initial population at t₀
32 = 6b³
b = 1.75
Now we replace b in the population function:
y = 6(1.75)ˣ regression for the rabbit population as a function of time x.
The exponential function in terms of base is usually expressed as:
A = A₀e^kt
Hence, the regression equation in terms of base e is:
We substitute en last function, y - value with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.
Hence, it takes approximately 13.3 months for the population to exceed 10000