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SashulF [63]
3 years ago
15

Write the explicit formula for the

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

a_n=-10n+150

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: a_n=-10n+150 instead.

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Please show your work
Effectus [21]
Here hope this help the solution is X= -2 and y=9

4 0
2 years ago
A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. to do this, he ranks the orchestra's 10 cellists an
DaniilM [7]
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.

Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240

Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160

Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
3 0
3 years ago
To be clear i don't want the flat out answer i want help on how to solve it .
liberstina [14]
The answer to the problem is as follows:

<span>So each thing separate by a positive, negative, multiplication or division sign. so here it would be 8h is one term and 15t is the second term so there are two.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
4 0
3 years ago
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

Answer:  x = 2.95

7 0
3 years ago
Read 2 more answers
What number is 10 times bigger than 30​
svlad2 [7]

Answer:

300

Step-by-step explanation:

10 x 30= 300

3 0
3 years ago
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