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2 years ago

Determine the domain and range and write in interval notation.

Mathematics

1 answer:

Zina [86]2 years ago

8 0

Answer:

See below

Step-by-step explanation:

DOMAIN is the set of values of 'x' that the function can have

(-inf, + inf) = domain

RANGE is the 'y' values the function can have

Range : [1, +inf)

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Write a proportion and show work

NeX [460]

for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.

By making a rule of three we have:

179000 ------------> 100%

x -----------------------> 6%

Where "x" represents the gains obtained.

So:

$x = \frac {6 * 179000} {100}$

Writing the proportion:

$\frac {x} {179000} = \frac {6} {100}$

The earns were:

$x = 10740$

ANswer:

$\frac {x} {179000} = \frac {6} {100}\\x = 10740$

8 0

4 years ago

Read 2 more answers

Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives

goblinko [34]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Car 1 Car 2

214 220

245 221

239 244

224 225

220 258

295 259

Ordered data:

Car 1 : 214, 220, 224, 239, 245, 295

Sample mean = ΣX/ n ; n = sample size = 6

Sample mean = 1437 / 6 = 239.5

Median = 1/2(n+1)th term = 1/2(7) = 3.5th term

Median = (3rd + 4th) /2 = (224 + 239) /2 = 231.5

Sample standard deviation; √(Σ(x - xbar)²/n-1 ) = 29.60 (using calculator)

Car 2 : 220, 221, 225, 244, 258, 259

Sample mean = ΣX/ n ; n = sample size = 6

Sample mean = 1427 / 6 = 237.833

Median = 1/2(n+1)th term = 1/2(7) = 3.5th term

Median = (3rd + 4th) /2 = (225 + 244) /2 = 234.5

Sample standard deviation; √(Σ(x - xbar)²/n-1 ) = 18.21 (using calculator)

6 0

3 years ago

(surds) write this in the simplest form and then simplify the expression

Stells [14]

Answer: $\bold{\sqrt{2}-15\sqrt{3}}$

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

$.\quad \sqrt{128}-5\sqrt{27}+2\sqrt{32}-3\sqrt{75}\\\\=\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}-5\sqrt{\underline{3\cdot 3}\cdot 3}+2\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}-3\sqrt{2\cdot \underline{5\cdot 5}}\\\\=2\cdot 2\cdot 2\sqrt{2}-3\cdot 5\sqrt{3}+2\cdot 2\cdot 2\sqrt{2}-5\cdot 3\sqrt{2}\\\\=8\sqrt{2}-15\sqrt{3}+8\sqrt{2}-15\sqrt{2}\\\\=\sqrt{2}-15\sqrt{3}$

4 0

4 years ago

The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?

Varvara68 [4.7K]

I think the answer is 2 13/20
Or, in decimals: 1.3

3 0

3 years ago

15 POINTS!

Norma-Jean [14]

12
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4 0

3 years ago