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3 years ago

What is the recursive rule for the following sequence: -9, -2, 5, 12, ….

Mathematics

1 answer:

tino4ka555 [31]3 years ago

5 0

Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

-2 is the a(n-1) term for -9

5 is the a(n-1) term for -2

12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

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System by graphing with problem -3x+2y=6,y=3

Solnce55 [7]

Answer:

Just graph it:

Step-by-step explanation:

First make a x, y table to graph -3x+2y=6.

you plug in random numbers that are easy to solve for example plug 0 for x. You get y=3. (0,3) then plot that point and so on.

for the second one when y is qual to . just a number its a horizontal straight line that cross the y at the number which is 3.

5 0

3 years ago

J’ai besoin d’aide pour cette question.

denis23 [38]

Answer:

tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique

Step-by-step explanation:

J'utilise google translate pour vous aider, IDK

4 0

4 years ago

Factor completely. a 2 + 28a + 27 (a + 1)(a + 27) (a + 3)(a + 9) (a - 1)(a - 27)

8090 [49]

Answer:

(a+1)(a+27)

Step-by-step explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial $Ax^2+Bx+C$ multiply A*C then find two numbers which multiply to this number and add to B. When you find those numbers, write them as $(x-/+ number)(x-/+number)$ .

$a^2+28a+27$

A=1, C=27

A*C=27 and add to B=28 which 1 and 27 satisfy

The factors are (a+1)(a+27)

7 0

3 years ago

Scott made 3 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 3 necklaces

pantera1 [17]

Answer:

$2.90

Step-by-step explanation:

<u>Lets look at the information given:</u>

Scott made 3 necklaces

$14.40 is the cost for both the beads and pendants for all 3 necklaces

$5.70 was the cost of just beads for all 3 necklaces

Each necklace has 1 pendant

The first step to solving this equation is subtracting the cost of the beads from the total cost for the necklaces:

$14.40 - $5.70= $8.70

Now we know that cost for the 3 pendants for all 3 necklaces was $8.70, but we need to find how much EACH pendant costs. To find out, we simply divide the total cost for all 3 pendants by 3:

$8.70 ÷ 3 = $2.90

So each pendent costs $2.90

6 0

3 years ago

Lina is packing to move to a new house. She has 561 items to transfer to the new house. 36 of the items are large items that wil

Lyrx [107]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let me give different scenarios to help you solve.

Firstly, assuming we want to calculate the amount of items left after the large items are carried alone, this will be:

= 561 - 36

= 525

Secondly, if we want to know the percentage of the large items that will be carried alone. This will be:

= 36/561 × 100.

= 6.42%

Thirdly, if you want to know the percentage of the items that will be left after the large ones have been carried alone. This will be:

= 100% - 6.42%

= 93.58%

5 0

3 years ago