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3 years ago

What is the domain of the function shown below? f(x)=-24/x^2+8

Mathematics

1 answer:

lyudmila [28]3 years ago

7 0

Answer:

Step-by-step explanation:

d/dx(8 - 24/x^2) = 48/x^3

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Indefinite integral assuming all variables are real:

integral(-24/x^2 + 8) dx = 8 x + 24/x + constant

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Limit:

lim_(x-> ± ∞) (8 - 24/x^2) = 8

Please mark brainliest and have a great day!

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PLSSS HELP Simplify.<br><br> –2 + (–9)

Usimov [2.4K]

Answer:

-11

Step-by-step explanation:

5 0

3 years ago

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Extra points giving away who ever get this right first gets brainlest <br> 468 weeks = ______ years

Colt1911 [192]

8yrs
8.975
hope that helps

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3 years ago

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

Base
Exponent
equal factors
power

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

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2 years ago

30 POINTS!!!!! PLEASE HELP

Hoochie [10]

Answer:

a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.

b) slope:

m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4

y-intercept:

y1 = m*x1 + h

60 = 4*0 + h

60 = h

equation: y = 4x + 60

where y represents scores and x represents hours spent studying

c) The slope indicates that you need to study 1 hour to increase your score in 4 points

The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied

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3 years ago

What is the answer to n+ 9 =9

Eva8 [605]

N=0 hope this helpssss

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3 years ago

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