Answer:
2x +21
Step-by-step explanation:

Answer:
6x²y(9 - 2y)
Step-by-step explanation:
Step 1: Factor out GCF
6(9x²y - 2x²y²)
Step 2: Factor out <em>x²</em>
6x²(9y - 2y²)
Step 3: Factor out <em>y</em>
6x²y(9 - 2y)
And we have our factored answer.
ANSWER

EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:

where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:

Substitute the given values into the function above:

To solve further, convert the function from an exponential function to a logarithmic function as follows:

Solve for t:

It will take 9 years for the population to double.
Answer:
Highest grade: 86
Lowest grade: 36
Step-by-step explanation:
Let the highest grade be h, lowest grade be l.

Therefore,

Actually, this is not about angles. It's about the length of the sides in a right triangle.
In EVERY right triangle, the squares of the lengths of the short sides add up
to the square of the length of the longest side. You're in high school math,so
I'm SURE you've heard that in class before ... possibly even just before you
were assigned this problem.
Let's say that again: The squares of the lengths of the sides that meet at
the right angle add up to the square of the length of the longest side. In
the triangle in this particular problem, that means
a² + b² = c²
You know the lengths of 'b' and 'c', so you shouldn't have any trouble finding
the length of 'a'.