2. Find the value of x^3 +2x^2 -3 when x =3

Answer-42

12. What type of correlation would you expect between the number of minutes a candle burns and the height of the candle?
a. no correlation
b. positive correlation
c. negative correlation
d. equal correlation
Answer-c

13. Write a function rule for the table shox
x 2 3 4
F(x) 2 1 0
Answer-f(x) = 2x

2) 27 + 18 -3 = 42 agree

12) I would say positive, burning time = k * height

13)f(x) = 2 - (x-2) = 4-x

2. 42 is correct!

12. c is correct.

13. X = 2,3,4.
F(x) = Y = 2,1,0.

(x,y)

(2,2)

(3,1)

(4,0).

m = (2-1) / (2-3) = 1/-1 = -1.
m = (1-0) / (3-4) = 1/-1 = -1.
m is the same @ all given points. So
the function is a linear Eq.

(2,2).
Y = mx + b = 2,
-1*2 + b = 2,
-2 + b = 2,
b = 4.

F(x) = -x + 4.

13. To write a function rule for the given table, we need to find the relationship between the values of x and F(x).

In the table, we can observe that F(x) is always equal to 2 times the value of x.

So the function rule for the table is:

f(x) = 2x

To find the value of x^3 + 2x^2 - 3 when x = 3, substitute x = 3 into the expression.

So, we have:
3^3 + 2(3)^2 - 3
= 27 + 2(9) - 3
= 27 + 18 - 3
= 45 - 3
= 42

Therefore, when x = 3, x^3 + 2x^2 - 3 equals 42.

For the correlation question, we need to analyze the relationship between the number of minutes a candle burns and the height of the candle.

If we have a positive correlation, it means that as the number of minutes a candle burns increases, the height of the candle also increases.

If we have a negative correlation, it means that as the number of minutes a candle burns increases, the height of the candle decreases.

If we have no correlation, it means that there is no relationship between the number of minutes a candle burns and the height of the candle.

In this case, since a candle burns down over time, we would expect a negative correlation. As the number of minutes a candle burns increases, the height of the candle decreases. Therefore, the correct answer is c. negative correlation.

For the last question, we need to determine the function rule based on the given table.

Looking at the table, we can notice that the output (F(x)) is always twice the input (x).

So, we can write the function rule as f(x) = 2x.

Therefore, the function rule for the given table is f(x) = 2x.