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Mars2501 [29]
3 years ago
13

Please help!!!

Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

ans is there is i don't know

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Find lim x→3 sqrt 2x+3-sqrt 3x/ x^2-3x. you must show your work or explain your work in words plsss I need help
sineoko [7]

I'm assuming the limit is supposed to be

\displaystyle\lim_{x\to3}\frac{\sqrt{2x+3}-\sqrt{3x}}{x^2-3x}

Multiply the numerator by its conjugate, and do the same with the denominator:

\left(\sqrt{2x+3}-\sqrt{3x}\right)\left(\sqrt{2x+3}+\sqrt{3x}\right)=\left(\sqrt{2x+3}\right)^2-\left(\sqrt{3x}\right)^2=-(x-3)

so that in the limit, we have

\displaystyle\lim_{x\to3}\frac{-(x-3)}{(x^2-3x)\left(\sqrt{2x+3}+\sqrt{3x}\right)}

Factorize the first term in the denominator as

x^2-3x=x(x-3)

The x-3 terms cancel, leaving you with

\displaystyle\lim_{x\to3}\frac{-1}{x\left(\sqrt{2x+3}+\sqrt{3x}\right)}

and the limand is continuous at x=3, so we can substitute it to find the limit has a value of -1/18.

7 0
3 years ago
Jacob Is Twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?
NemiM [27]
x-Sue\\2x-Jacob\\\\x+2x=69\\\\3x=69\ \ /:3\\\\x=69:3\\\\x=23-Sue\\\\2x=2\cdot23=46-Jacob\\\\Answer:Jacob\ is\ 46.
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3 years ago
Graph x^2+60x+256in^2​
Softa [21]

Answer:

44

Step-by-step explanation:

there you goooooo oooooooooooooooooo

8 0
3 years ago
Find the value of x<br> 48°<br> 132°<br> 132°<br> X°
enot [183]

Answer:

X°

Step-by-step explanation:

there’s no other clues to what it could be, and since it’s x it would be X°

5 0
3 years ago
If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even face
Bezzdna [24]
Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
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etc.    There 27 of them.

Probability = 27 / 216 = <u>1/8</u> = 12.5 percent .
5 0
3 years ago
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