Answer:
The Function represents a direct variation.
Step-by-step explanation:
The graph formed by the the coordinates (-1.-1.5), (1,1.5), (2,3) and (4,6) is shown at the bottom. Consult it for better understanding. As we can see in the graph that the line joining all the points is a straight line with positive slope, it means that if the value of x is increase, the value of m(x) also increases, and the rate of change is linear. Thus, the function represent a direct variation.
Answer:
Rod is 17-1/3 and Ana is 30-2/3
Step-by-step explanation:
let x = Rod's age now
then Rod's age 4 years ago was x - 4 and Ana's age then was 2(x-4)
therefore Ana's age now is 2(x - 4) + 4 = 2x - 8 + 4 = 2x - 4
In four years Rod will be x + 4 and Ana will be 2x - 4 + 4 = 2x
Now x + 4 + 2x = 56
3x + 4 = 56
3x = 52
x = 17-1/3 = Rod's age
2x - 4 = 2(14) - 4 = 26-2/3 = Ana's age
Check: in 4 years Rod will be 21-1/3 and Ana will be 34-2/3
21-1/3 +34-2/3 = 56
Son = 3 ft
Mother = 1 3/4 * 3 = 7/4 * 3 = 21/4 = 5 1/4 ft
Total number of possible outcomes = 36
Total number of outcomes with a sum of 12 = 1
{6,6)
Total number of outcomes with a sum of 3 = 2
{1,2}{2,1}
P(12 first, then 3) = (1/36)(2/36) = 1/648
Answer: The probability is 1/648
The recursive formula for the geometric sequence is given as follows:
D.
.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
With a recursive formula, it is given by:

For this problem, the first term and the common ratio are:

Then the recursive formula is:
D.
.
More can be learned about geometric sequences at brainly.com/question/11847927
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