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Mazyrski [523]
3 years ago
15

Write an explicit formula, term of sequence HELP I DON’T UNDERSTAND here’s a picture:

Mathematics
2 answers:
avanturin [10]3 years ago
6 0

Answer:

a_{n} = 10n - 5

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 15 - 5 = 25 - 15 = 10

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 10 , then

a_{n} = 5 + 10(n - 1) = 5 + 10n - 10 = 10n - 5

Tresset [83]3 years ago
5 0

Answer:

aₙ = 5 + 10(n - 1)

Step-by-step explanation:

See photo...

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Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady
zlopas [31]

Answer:

Horse A will have traveled 20 feet farther

Step-by-step explanation:

Horse A has traveled 160 feet in 5 seconds, and Horse B has traveled 140 feet in 5 seconds, and 160-140=20

5 0
3 years ago
A rope is cut into equal pieces, and 8 of the pieces are used to tie up
slava [35]

Answer:A

Step-by-step explanation:

8 is the only equal number

6 0
4 years ago
Read 2 more answers
Which polynomial is prime?
finlep [7]

we know that

If the only factors a polynomial are 1 and itself, then that polynomial is prime.

so

If the polynomial has at least one root (one x-intercept) then the polynomial is not prime

Using a graph tool

<u>case 1) </u>

x^{3}+ 3x^{2} + 2x+ 6

see the attached figure N 1

The polynomial has one root-------> the polynomial is not prime

<u>case 2) </u>

x^{3} + 3x^{2} - 2x - 6

see the attached figure N 2

The polynomial has three roots-------> the polynomial is not prime

<u>case 3) </u>

10x^{2}-4x+3x + 6

10x^{2} -x + 6

see the attached figure N 3

The polynomial has zero roots-------> the polynomial is  prime

<u>case 4)</u>

10x^{2}-10x+6x - 6

10x^{2} -4x - 6

see the attached figure N 4

The polynomial has two roots-------> the polynomial is not prime

therefore

<u>the answer is</u>

10x^{2}-4x+3x + 6 ------> is prime

8 0
3 years ago
Read 2 more answers
Which algebraic expression represents the statement: the difference of four times a number and seven.
SIZIF [17.4K]
First, take the written expression apart. Four times a number would be 4n. Then the difference between. That would be a subtract sign. Then finally the seven. The difference between 4n and 7 so:
4n - 7 is your answer.
4 0
3 years ago
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The cost of a 300g jar of coffee is £1.20 How much coffee do you get for 1p?
Ivenika [448]
Since we know that a jar of 300g of coffee cost 1.20 £, the only thing we need to do to find how much coffee you will get for 1 £ is divide the amount of coffee you can buy by the amount of money it cost. In other words divide 300 grams of coffee by 1.20£: 
\frac{300}{1.20} =250

We can conclude that you can get a jar of 250 grams of coffee for 1£.
3 0
3 years ago
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