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3 years ago

Three playing cards are placed in a row, from left to right. Each card is of a

Mathematics

1 answer:

qaws [65]3 years ago

8 0

Answer:

hifgreeg33ctvtvunu

Step-by-step explanation:

highhb tug 5h6g6g5g5g

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Find the limit (enter 'DNE' if the limit does not exist)

vaieri [72.5K]

Answer:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)=2$

Step-by-step explanation:

We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))

here, we need to find:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\right)$

first we'll rationalize our expression:

$\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\left(\dfrac{\sqrt{-2x^2-6y^2+1}+1}{\sqrt{-2x^2-6y^2+1}+1}\right)$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{(\sqrt{-2x^2-6y^2+1}+1)^2-(1)^2}$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-2x^2-6y^2+1-1}$

$\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-(2x^2+6y^2)}$

$\sqrt{-2x^2-6y^2+1}+1$

this is our simplified expression, now we can apply our limits:

$\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)$

$\sqrt{-2(0)^2-6(0)^2+1}+1$

$1+1$

$2$

the limit does exists and it is 2.

5 0

3 years ago

I need help please so if you could help that would be nice. Also i will make brainliest

timurjin [86]

No it is not a function. You have to be able to write y=mx+b

5 0

3 years ago

A music store charges $18.50 for a CD plus a 0.5% city tax and a separate 4% state tax.

Strike441 [17]

A) The equation will become: 18.50 (1.005) + 18.50 (0.04)= 19.3325
Which can be rounded to 19.33
b) 18.50 (1.04)-18.50(1.005)= 0.6475
Which can be rounded to 0.65

Therefore your answer is Number 1)

3 0

3 years ago

What is the simplified form of ()

malfutka [58]

Answer:

2nd one from the bottom.

5 0

3 years ago

Read 2 more answers

Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue

Gnom [1K]

She will need 5 fluid ounces to make purple paint hope that will hope you if not I'm sorry