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denis23 [38]
3 years ago
5

What is the domain function y=^4sqrtx-1

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

Domain of y=\sqrt[4]{x-1}: is x>=1

Interval notation: [1,∞)

Step-by-step explanation:

We have y=\sqrt[4]{x-1}

1) The domain of a function is the set of x values for which the function is real and defined.

2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.

3) Now we solve the inequality x-1>=0

4) Adding 1 to both sides of the inequality we get,

x-1+1 > = 0+1

5) Cancel out -1 and +1 from the left side

6) We get x>=1

It concludes that for the domain of the given function, the x value must be greater than or equal to 1

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A car was originally purchased in January 2010 for 27000 dollars. The car depreciates at a rate of 18% every year.
Maksim231197 [3]

Answer:

Number of year(n) = 3.4 year (Approx)

Step-by-step explanation:

Given:

Purchase value of car = $27,000

Depreciation rate per year (d) = 18% = 0.18

Future price = half of its original value = $27,000 / 2 = $13,500

Find:

Number of year(n) = ?

Computation:

Future price  =Purchase value(1-d)^n\\\\13,500=27,000(1-0.18)^n\\\\0.5=(0.82)^n\\\\n=3.444(Approx)

Number of year(n) = 3.4 year (Approx)

5 0
3 years ago
Tiffany is filling her daughter's pool with water from a hose. She can fill the pool at a rate of LaTeX: \frac{1}{5}1 5gallons/s
Hitman42 [59]

Answer:

25 seconds

Step-by-step explanation:

You have a rate of:

\dfrac{1}{5}gal/s

And you want to find how many seconds it would take to fill in 5 gallons of water. Using the rate, we use it as a conversion factor from rate to seconds:

5gal\times\dfrac{1sec}{\frac{1}{5}gal}=\dfrac{5sec}{\frac{1}{5}}=25sec

6 0
3 years ago
Which expression represents a rational number?
hammer [34]

The rational number among all the answer choices is; Pi + √16.

<h3>What is a Rational number?</h3>

A rational number by definition, is one that can be represented as the quotient a/b of two integers in which case b ≠ 0.

On this note, it follows that since the constant pi is; 22/7, the number pi + √16 can be represented as a rational number as follows;

22/7 + 4 = 50/7.

Read more on rational numbers;

brainly.com/question/1535013

#SPJ1

7 0
2 years ago
how long does it take for an investment to double in value if it is invested at 8% per annum compounded monthly? compounded cont
ella [17]
2p=p(1+0.08/12)^12n
2=(1+0.08/12)^12n
Log(2)=12n*log(1+0.08/12)
12n=log(2)/log(1+0.08/12)
n=104.32/12
N=8.7 years
Continuously
2p=pe^rt
Now your turn solve with math to get the answer using the equation...if you have problem with that just tell me
7 0
4 years ago
Which could be the function graphed below
Ksivusya [100]

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

4 0
3 years ago
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