3 years ago

Please help me!!! I need help!

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

-4 im not sure tho

im not an expert

Step-by-step explanation:

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Use the definition of continuity and the properties of limits to show that the function f(x)=x sqrtx/(x-6)^2 is continuous at x

qaws [65]

Answer:

The function is continuous at x = 36

Step-by-step explanation:

From the question we are told that

The function is $f(x) = x * \sqrt{ \frac{x}{ (x-6) ^2 } }$

The point at which continuity is tested is x = 1

Now from the definition of continuity ,

At function is continuous at k if only

$\lim_{x \to k}f(x) = f(k)$

$\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]$

$= 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$= 7.2$

Now

$f(36) = 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$f(36) = 7.2$

So the given function is continuous at x = 36

because

$\lim_{x \to 36}f(x) = f(36)$

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3 years ago

Anton works at the First National Bank. His employer offers him a pension retirement plan, which will be 1.45% of his average sa

shepuryov [24]

Answer:

31217.34

Step-by-step explanation:

92000+92800+99000+100500+105000=489300/5=97860 avg salary

97860X.0145=1418.97x22=31217.34

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3 years ago

There were 56 birdhouses at school. Today, 4 classes made more birdhouses. Each class

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Read 2 more answers

What property describes the number sentence? 6+0=6

NemiM [27]

Additive property of zero describes this number sentence.
The meaning of this property is that zero added to any whole number results into the number itself.

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3 years ago

Plz help me with this

Vanyuwa [196]

Answer: x = 4

<u>Step-by-step explanation:</u>

6ˣ = 1296

6ˣ = 6⁴

Since they have the same base, set the exponents equal to each other:

x = 4

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3 years ago