3 years ago

1.

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

The answer would be B.

You might be interested in

What’s the simplified form of -3+7–3r–12

VashaNatasha [74]

Answer:

-3r-8

Step-by-step explanation:

5 0

3 years ago

I don't really understand, please help!!

miv72 [106K]

Step-by-step explanation:

the proof is given above

4 0

3 years ago

Read 2 more answers

3w-1 divided by 3 minus 2w+1 divided by 3 =1

LiRa [457]

Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

3 0

2 years ago

Read 2 more answers

Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.

Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all $n\in\mathbb{N},3|(4^n+5)$ . This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let $n=1$ , then we have $4^{1}+5=9$ , and evidently, $9|3$ .

Assume that $4^n+5$ is divisible by $3$ for $n=k, k\in\mathbb{N}$ . Then, by this assumption, $3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}$ .

Now, let $n=k+1$ . Then:

$4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)$

Since $3|(4^k+m)$ , we may conclude, by the axiom of induction, that the property holds for all $n\in\mathbb{N}$ .

3 0

2 years ago

1 x=5<br> 2x + y = 10<br><br> Substitution

ipn [44]

Answer:

Y = 0

Step-by-step explanation:

If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0

3 0

3 years ago