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3 years ago

Five times 9/12 - 1/4 + 0.5

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

The answer is 4

Step-by-step explanation:

u welcome boo

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<img src="https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%20%5C116%7D%20x-16%2F%5Csqrt%7Bx%7D%20-4" id="TexFormula1" title="\lim_{h

Evgen [1.6K]

Answer:

$\displaystyle 8$

Step-by-step explanation:

we would like to compute the following limit

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right)$

if we substitute 16 directly we'd end up

$\displaystyle = \frac{16 - 16}{ \sqrt{16} - 4}$

$\displaystyle = \frac{0}{ 0}$

which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right)$

simplify which yields:

$\displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right)$

we can reduce fraction so that yields:

$\displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right)$

$\displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right)$

now it's safe enough to substitute 16 thus

substitute:

$\displaystyle = \sqrt{16} + 4$

simplify square root:

$\displaystyle = 4 + 4$

simplify addition:

$\displaystyle = 8$

hence,

$\displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8$

6 0

3 years ago

What is the sign of the product (-2) x (4) x (-6) x (-3)?

olga nikolaevna [1]

The sign would be negative

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3 years ago

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Find the center and radius of this circle x^2+y^2-6x-10y+30=0

tensa zangetsu [6.8K]

Answer:

Center and Radius

Rewrite in standard form to find the center

(k,h)

and radius r

.Center:

(3,5)

Radius:

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3 years ago

How many hours and seconds are in a day?

lukranit [14]

Answer:

24 hours, 86,400 seconds

Step-by-step explanation:

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4 years ago

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AKIO and 7 friends will share 3 liters of juice equally. How much juice foes each person get?

borishaifa [10]

So, first step is to add Akio to the seven friends, because he is one of the people sharing the juice. Or in math terms, 1+7=8. 1 representing Akio and 7 representing the seven friends. Divide 8 by 3, and that’s your answer.

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4 years ago