First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.
6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3
6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!
Answer:
A
Step-by-step explanation:
Looking at the function, we have;
V(t) = 1,000(1.06)^t
Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;
V = I(1 + r)^t
where V is the value of the investment after some certain number of years
I is the initial amount invested
r is the constant percentage increase
and t is the number of years.
Let’s now re-write what we can deduce in the question.
This is;
V(t) = 1000(1 + 0.06)^t
Thus what this 0.06 represents is r which is the constant interest rate
Answer:
Step-by-step explanation:
5
Answer:
<u> x = 16</u>
Step-by-step explanation:
See the attched figure
We should know that, one of the properties of the rhombus is the diagonals bisect the angles of the rhombus.
Given:
m∠ABC = 84 and m∠ABE = 3x − 6
So, m∠ABE = 0.5 * m∠ABC = 0.5 * 84 = 42
∴ 3x - 6 = 42
Solve for x
3x = 42 + 6 = 48
x = 48/3 = 16
<u>∴ x = 16</u>
