All categories

1 year ago

Here is the graph of the sequence M define M recursively using function notation

Mathematics

1 answer:

aev [14]1 year ago

8 0

The graph of the sequence M , we define M recursively using function notation

$f(n+1)=f(n)-2$

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

$f(n+1)=f(n)-diffeference \\f(n+1)=f(n)-2$

where n=2,3,4...

Learn more : brainly.com/question/10676131

You might be interested in

Mr Thompson please help with my new HW

sesenic [268]

Answers:

C) x = plus/minus 11
B) No real solutions
C) Two solutions
A) One solution
The value <u> 18 </u> goes in the first blank. The value <u> 17 </u> goes in the second blank.

========================================================

Explanations:

Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.

3 0

3 years ago

Katherine needs to cut a piece of cardboard for an art project at school. She has four pieces of cardboard that she can cut from

Rasek [7]

Cut five inches to creat the least amount of unused cardboard.

3 0

3 years ago

The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?

nikdorinn [45]

Answer:

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

4 0

2 years ago

Daniel created an intersection with his race track. One of the angles at the intersection is 55°. What are the three other angle

melomori [17]

Answer:

55, 125 and 125

Step-by-step explanation:

In this question, we are asked to find the other 3 angles in an intersection.

Please check attachment for what the diagram of the intersection might look like.

The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.

since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]

These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.

3 0

3 years ago

What is the solution to the equation?

Gelneren [198K]

Answer:

Hello,

answer B

Step-by-step explanation:

$\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\$

3 0

3 years ago

Here is the graph of the sequence M define M recursively using function notation ￼￼

Here is the graph of the sequence M define M recursively using function notation