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2 years ago

Is -2 + √3 rational or irrational?explain why.

Mathematics

1 answer:

andrey2020 [161]2 years ago

3 0

Answer:

It is irrational

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So, our assumption is false.

Therefore,2+√3 is an irrational number.

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Which expression is the result of subtracting (Z2-3i) from (Z1 + 2)? A B C D

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Answer:

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2 years ago

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Write each number as a product using the GCF as a factor, and apply the Distributive Property.

Rasek [7]

The distributive property: a(b + c) = ab + ac.

Factors of 38: 1, 2, 19, 38

Factors of 57: 1, 3, 19, 57

GCF(38, 57) = 19

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3 years ago

javier rode his bike for a total of 41 minutes. before lunch he rode 1 minute less than 5 times the number of minutes he rode af

notka56 [123]

Answer:

Javier rode bike 34 minutes before lunch.

Step-by-step explanation:

Let the number of minutes Javier rode the bike after lunch be = x minutes

Then according to question number of minutes he rode the bike after lunch

$= 5x-1$

Total number of minutes he rode bike = 41 min

Therefore,

$x+5x-1 =41$

On solving

$6x= 41+1 =42$

Divide both side by 6 we get

$x= 7$

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$= 5(7)-1 = 35-1=34$ min

8 0

3 years ago

Need to know the population in 2015

Margarita [4]

$\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\$

$\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}$

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2 years ago

31. Jamie works at pizza hut. She makes $30 a day, plus $2 for each pizza she delivers. She earned $50

Mashcka [7]

Answer:

Step-by-step explanation:

30+2+2+2+2+2+2+2+2+2+2

Hope this helps!!

Can you tell me if it's right or not? And can you give me brainliest?!!

6 0

3 years ago