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3 years ago

Giving brainliest !!!!

Mathematics

1 answer:

Leona [35]3 years ago

5 0

Answer:

p = 42.6 (Rounded up)

I am unsure if you need an explanation.

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Prove the following statement using a proof by contraposition. Yr EQ,s ER, if s is irrational, then r + 1 is irrational.

sp2606 [1]

Answer:

I think that what you are trying to show is: If $s$ is irrational and $r$ is rational, then $r+s$ is rational. If so, a proof can be as follows:

Step-by-step explanation:

Suppose that $r+s$ is a rational number. Then $r$ and $r+s$ can be written as follows

$r=\frac{p_{1}}{q_{1}}, \,p_{1}\in \mathbb{Z}, q_{1}\in \mathbb{Z}, q_{1}\neq 0$

$r+s=\frac{p_{2}}{q_{2}}, \,p_{2}\in \mathbb{Z}, q_{2}\in \mathbb{Z}, q_{2}\neq 0$

Hence we have that

$r+s=\frac{p_{1}}{q_{1}}+s=\frac{p_{2}}{q_{2}}$

Then

$s=\frac{p_{2}}{q_{2}}-\frac{p_{1}}{q_{1}}=\frac{p_{2}q_{1}-p_{1}q_{2}}{q_{1}q_{2}}\in \mathbb{Q}$

This is a contradiction because we assumed that $s$ is an irrational number.

Then $r+s$ must be an irrational number.

3 0

3 years ago

Can the equation y=1 be written in the form y=mx+b?

Svetach [21]

It is technically in the format, it just doesn't have a slope which is why x isn't involved. Otherwise it would look weird to put y=0x+1 even though it would help to comprehend it.

5 0

3 years ago

Read 2 more answers

Solve 5x-8y=11 for y

ryzh [129]

First you need to subtract 5x from both sides and then you have to divide by -8

5 0

4 years ago

What is the volume of a cube that measures 3.5 inches on each edge?

Bas_tet [7]

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

4 0

3 years ago

Help plz!!!!!!!!!!!!

enyata [817]

Answer:

Option A, 90

Step-by-step explanation:

105×2-120

= 210-120

= 90

4 0

3 years ago