pokoljitef2

2022-06-27

Prove that $Ae+B/e$ is irrational.

candelo6a

Beginner2022-06-28Added 24 answers

Suppose that $Ae+B/e$ is rational. Then $Ae+B/e=p/q$ for some $p,q\in \mathbb{Z}$. Then $A{e}^{2}-\frac{p}{q}e+B=0$. Clearing denominators gives us e as a root of $Aq{x}^{2}-px+Bq$ which is impossible since $e$ is transcendental.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

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a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

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A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

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Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

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How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

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There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.