The graph of the sequence M , we define M recursively using function notation
Given :
the graph of the sequence M
Lets write the recursive function using the given points
First point is (1,7) and second point is (2,5) then (3,3) and so on
For recursive function , we use the initial point (1,7)
when n=1, f(n)=7
the y values of the point are decreasing by 2. Common difference is -2
Recursive function is
where n=2,3,4...
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A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
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27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
If the null hypothesis,
is rejected, then we can conclude that the correlation coefficient is significant. This means that there is enough evidence to conclude that a relationship exists between the two (or more) variables involved in the regression.
You would put in 12 for x since there are 12 months in a year. Then you would multiply 12 by 35, and add 70.
The question is relating Rhonda's distance travelled and time taken
If 45 miles = 3 hours
Then, 1 mile = 3/45 hours
Therefore, it will take Rhonda 1/15 hours to travel 1 mile.
