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luda_lava [24]
3 years ago
5

Which algebraic expression is a difference with two terms

Mathematics
2 answers:
Effectus [21]3 years ago
8 0
<h2>Answer:</h2>

The algebraic expression which is a difference of two terms is:

                   B.    5y-7

<h2>Step-by-step explanation:</h2>

We know that any algebraic expression is a difference of two terms if there are two terms in an expression which are separated by a subtraction sign.

A)

              3y+1

In this expression we have two terms 3y and 1 which are separated by a addition sign.

Hence, option: A is incorrect.

B)

              5y-7

In this expression we have two terms as 5y and 7 which are separated by a negative sign or a subtraction sign.

                         Hence, option: B is correct.

C)

                -2y+5+3

In this expression we have three terms  "2y", "5" and "3"

Hence, this option is incorrect.

D)

             5(y-6)

Here we have two terms 5 and (y-6) which are separated by a multiplication sign.

Hence, option: D is incorrect.

svetoff [14.1K]3 years ago
3 0
" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7


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Prove by induction that 7^2n+1 +1 is divisible by 8, for all nEN
fredd [130]

Answer:

See below.

Step-by-step explanation:

Base case:

Replace n with 1.

7^(2×1+1)+1

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343+1

344

8 is a factor of 344 since 344=8(43).

Induction hypothesis:

Assume there is some integer n such that 7^(2k+1)+1=8n for positive integer k.

7^(2[k+1]+1)+1

7^(2k+3)+1

7^(2k+1+2)+1

7^(2k+1)7^2+1

49×7^(2k+1)+1

Induction step:

49×(8n-1)+1

49(8n)-49+1

49(8n)-48

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This means 8 is a factor of 7^(2(k+1)+1)+1.

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Answer:

A

Step-by-step explanation:

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