Answer:
B] f(n) = 6(3)n − 1; f(5) = 486
Step-by-step explanation:
First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.
So if the relation is exponential, if we divide the y coordinates you should get the same result every time.
18 / 6 = 3
54 / 18 = 3
162 / 54 = 3
So the y value increases 3 times. That means that the next value should be 162*3 = 486.
Answer:
x=2
Step-by-step explanation:
you should isolate the variable and find out from what you have
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
Part 1) Find AC
we know that
In the right triangle ABC of the figure
Applying the Pythagorean Theorem

substitute the given values


Part 2) Find the measure of angle A
we know that
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the values

using a calculator

Part 3) Find the measure of angle C
we know that
In the right triangle ABC
----> by complementary angles
substitute the given value


You don't solve a quadratic equation using completing the square
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,


Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.