Answer: x²+8x+16
Step-by-step explanation:
(x+4)^2=(x+4)(x+4)
Now use distributive property to expand (x+4)(x+4):
(x+4)(x+4)=x²+4x+4x+4(4)
x²+4x+4x+4(4)=x²+8x+16
Answer:

Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:

Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So

The equation that models this scenario is:


Answer:

Step-by-step explanation:
Divide both sides by 5:

Cancel logarithms by taking exp of both sides:

Solve for x subtracting 4 from both sides:

Answer:
Reflecting a function over any axis can be complicated if you do not know the proper way to do it, so I am going to use examples to show you.
If f(x)=x is your normal function, then flipping it across the y-axis would look like f(x)=-x.
Step-by-step explanation:
Placing a - sign before the X will make it flip across the y-axis. After the X, and it flips across the X-axis.
Answer:
A) 2 cm
Step-by-step explanation:
The sum of two sides of a triangle must be greater than the third side
2 + 3 is not greater than 5