What is the steps to find this domain?

What Is The Steps To Find This Domain?

Answers

Answer 1

Answer:

The Domain of the function is the set of ALL Real numbers

Step-by-step explanation:

To find the Domain of a function, one has to examine if there are any mathematical restrictions in the function's expression that could reduce the set of Real numbers to be used in estimating all the possible function's outputs.

Typical examples are:

1) There are x-variables in the denominator of the function (you must consider then which values of x could render a zero in the denominator and therefore make it undefined)

2) the variable x appears inside an even root (like a square root), then you have to consider which values of x are not allowed if they render a negative value inside the root

3) if x appears inside logarithmic expressions (you need to exclude from the domain those x-values that render negative the expression inside the logarithm)

Another important rule to remember,is that all polynomial functions (like the one given in this case) always have for Domain the full number line (all Real numbers) because any Real number used will render another Real number via multiplications, subtractions and additions (which are the operations involved in a polynomial expression)


Related Questions

Find 8x+y when x=2 and y=5.

Answers

Answer:

21

Step-by-step explanation:

8x+y, when x=2 and y=5,

then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'

According to  PEMDAS, multiplication is done first, so

8*2= 16,

16+5, which is 16+5= 21

Analyses were run. The following is the (edited) output for the test:
Hypothesis test results:
U1: favored team-home game
U2: favored team- away game
Difference Sample Mean Std. Err. DF T-Stat P-value
U1-U2 .11 0.67168534 94.155815 0.16376716 0.4351
From the output we learn that:
A. the data provide sufficient evidence reject the H0; thus, we cannot conclude that the
mean point spread of home games is higher than that of away games.
B. the data do not provide sufficient evidence reject the H0; thus, we can conclude that
the mean point spread for home games is higher than that of away games.
C. the data do not provide sufficient evidence to reject H0; thus, we cannot conclude that
the mean point spread of home games is higher than that of away games.
D. the data provide sufficient evidence to reject H0; thus, we can conclude that the mean
point spread for home games is higher than that of away games.

Answers

Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.

Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.

In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.

What is f(0)?
O 12 only
O 2 and 3 only
0 -2,-1.1, and 2 only
O-2, -1, 1, 2 and 12

Answers

Answer: The 1st option is correct! :D

Hopefully this will help others as well!

Step-by-step explanation:

First optionnnnnnnnnnnnn

Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 pounds and a standard deviation of 1.25 pounds. A premature baby can be classified as being less than 5.51 pounds. A. Find the probability of a randomly selected baby weighing less than 5.51 pounds. B. If 25 babies are randomly selected, what is the probability that their weight will be less than 5.51 pounds?

Answers

Answer:

Step-by-step explanation:

Hope this helped

ASAP Find the measure of the third angle of a triangle if the measures of the other two angles are given. 118.6 and 42.3 A. 19.1 B. 36.7 C. 39.1 D. 29.1

Answers

Answer:

A. 19.1

Step-by-step explanation:

the total measure of a triangle is 180°

118.6+42.3+x=180

160.9+x=180

x=180-160.9

x=19.1°

$7.825 per hour × $32.125 hours round answer to the thousandth of a dollar???​

Answers

Correct it is right u have to multipl

a reason
Determine if 0.362799791799176191... is rational or irrational and give
for your answer.

Answers

It is irrational because there isn’t any repeating parts.

Answer:

It is irrational because there isn’t any repeating parts.

solve for p -5(p + 3/5) = 4

Answers

Answer:

p =-7/5

Step-by-step explanation:

[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]

Full explanation

-5(p+3/5)=4
Distribute -5 to p and 3/5

-5p -3 = 4

Add three to each side

-5p -4 = 4
+4 +4
-5p= 8

Divid 5 from each side

-5p/5 = 8/5

P= 1.6 or 1 3/5

subtract fractions 9 1/10 - 4 3/4 =

Answers

Answer:

4.35

Step-by-step explanation:

The fraction is 23/5.

To find the fraction of given problem.

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

Let the two fractions be a/b  and  c/d then:

a/b−c/d=ad−bc/bd

It must have like denominators to subtract fractions.

For = 9 1/10 - 4 3/4= 9 1/10 - 19/4

Taking LCM of 10 and 4 is 20.

=9 1/10 - 19/4

=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]

After cancel out numerator and denominators

=23/5

So, the fraction is 23/5.

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Jack met Jill Jill had 16 gallons of water in a bucket jack has ? gallons of water in his bucket answer the equation to figure out how much gallons he has in his bucket.If 3 =B and C=2 A=1 What does D eqaul when you figure it out multiply the number that D is equal to 5 times then the number you end up with needs to be multiplied 12 times the number you get subtract 100 from it then you have your answer.

Answers

Answer:

140

Step-by-step explanation:

A=1 B=2 C=3 D=4

4 x 5= 20

20 x 12=240

240 - 100=140

Answer: 140

Answer:

140

Step-by-step explanation:

Multiply. (2x-1) (x^2+x-3)
Show steps please

Answers

Answer:

2x^3+x^2-7x+3

Step-by-step explanation:

To do this you have to multiply the first term in the first parenthesis so you would multiply 2x by x^2 x and -3 so you get 2x^3+2x^2-6x  for the first part and then you would multiply -1 by the terms again so you would get -x^2-x+3 so you would get 2x^3+2x^2-6x-x^2-x+3 then you would add add teh like terms together so you get 2x^3+x^2-7x+3 as the final answer

simplify the expression -1/2(-5/6 +1/3) thank you :)

Answers

Answer:

1/4

Step-by-step explanation:

-1/2(-5/6 +1/3)

PEMDAS

parentheses first

(-5/6 +1/3)

Get a common denominator

-5/6 + 1/3 *2/2

-5/6 + 2/6 = -3/6 = -1/2

Substitute this back in

-1/2 ( -1/2)

Multiply

1/4

A golf ball has a diameter of 1.6 cubic inches. How many golf balls will fit inside of a storage unit that is 10 feet wide, 20 feet long, and 8 feet high? (Volume of a sphere = 4/3 π r3 1291962 balls 1291962 balls 2764800 balls

Answers

Answer:

1291962 golf balls

Step-by-step explanation:

golf ball: 4/3П(0.8)^3=2.14 in^3

storage unit: 120(240)(96)=2764800 in^3

2764800/2.14=1291962 golf balls

Number of golf balls that will fit inside of a storage will be 1291962 golf balls

diameter of golf ball = 1.6 in³

radius will be = 0.8 in³  

it is known that 1 ft = 12 in

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape  such as here :

volume (V) of sphere golf ball with radius r : [tex]\frac{4}{3}\pi r^{3}[/tex]

[tex]\begin{aligned}V&= \frac{4}{3}\pi r^{3} \\&=\frac{4}{3}\pi (.8)^{3}\\&\approx 2.14 \text{\:in}^{3}\end{aligned}[/tex]

Volume of rectangle ([tex]V_{1}[/tex]) with length (l= 10x12 in.), breadth (b =20x12 in.) and height (h = 8x12 in.) : lbh

[tex]\begin{aligned}V_{1}&=lbh\\&=120\cdot240\cdot96\\&=2764800 \text{\:in}^3\end{aligned}[/tex]

therefore, number of golf balls will fit inside of a rectangular storage

will be : [tex]\frac{V_{1}}{V}[/tex]

[tex]\begin{aligned}\text{no. of golf ball}&= \frac{V_{1}}{V}\\&=\frac{2764800 \text{\:in}^3}{2.14}\\&\approx 1291962\end{aligned}[/tex]

number of golf balls will be 1291962.

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which statement best explains the value of 18 - (-5)?

Answers

Answer:

The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13.

PLEASE HELP! If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

Answers

Answer:

Step-by-step explanation:

volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units

4(-6)+y=10
can someone hellp

Answers

Answer:

y = 34

Step-by-step explanation:

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Remember to follow PEMDAS. First, multiply -6 with 4:

-6 * 4 = -24

-24 + y = 10

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:

-24 (+24) + y = 10 (+24)

y = 10 + 24

y = 34

y = 34 is your answer.

~

Answer:

y = 34

Step-by-step explanation:

[tex]4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34[/tex]

Find the length of the hypotenuse , c, using the Pythagorean theorem (a^2+b^2=c^2) round the nearest tenth if necessary

Answers

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)

A new Community Sports Complex is being built in maddison. The perimeter of the rectangular playing field is 232 yards. The length of the field is 7 yards less double the width what are the dimensions of the playing field

Answers

Answer:

width are 33 dimensions

-33 - 4x = 2 - 3(4x - 7)

Answers

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.

what is the 2 step equation -1=(5+x)6

Answers

i think thats what you mean hope it helps

The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coefficients. identify curvilinear relationships. test correlations for causality.

Answers

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundreth.

Answers

Answer:

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Step-by-step explanation:

Let the length of the rectangle be given by x and the breadth be defined by y.

Then according to the area of rectangle

Area= Length * breadth

But length is 4 times its width so x= 4y  

Therefore putting the values

Area= Length * breadth

46= x*y

46= 4y*y

46/4= y²

or

y ²= 11.5

Now taking the square root of both sides we get

y= √11.5=3.39116 inches

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

The best method for obtaining a representative sample is to choose a _____ from the population of interest.

Answers

Answer:

Random sample

Step-by-step explanation:

In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.

How do you estimate an irrational vsquare root? Use COMPLETE sentences! Make sure you use LOTS of details. Word Bank Square Root Square Estimate Predict - Perfect Squares Whole Number Number Line Left/Right Tick Marks Upper/Lower Radical Consecutive​

Answers

Answer:

Step-by-step explanation:

Lets illustrate one method by an example:

Find the square root of  12:

The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.

We might predict it to be 3.5

If we square 3.5 we get 12.25 so we are pretty close.

It is less than 3.5 so we might try 3.4 .

Working 3.4^2 out we get  11.56  so we know the square root is between 3.4 and 3.5  Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.

This is called the method of trial and improvement and requires you to do long multiplications.

Simplify the expression 2x - 7 + 4x

Answers

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

Answer:6x-7

The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.

Need to also show work but confused

Answers

Answer:

S = 2

Step-by-step explanation:

1st step: Simplify both sides of the equation

4/5 s - 3/4 s = 1/10

4/5 s + -3/4 s = 1/10

(4/5 s + -3/4 s) = 1/10 (combine like terms)

1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

Please Help Me
For the figure below m<ABC = 70°. Which theorem or postulate can be used to determine m<DBC? What is m<DBC? (pic of the drawing below)​

Answers

Answer:

38°

Step-by-step explanation:

<ABD and <DBC are two interior angles that make up <ABC.

Based on the Angle Addition Theorem, the following equation can be used to find m<DBC:

[tex] (3x + 5) + (6x - 16) = 70 [/tex]

Find x

[tex] 3x + 5 + 6x - 16 = 70 [/tex]

[tex] 9x - 11 = 70 [/tex]

[tex] 9x = 70 + 11 [/tex]

[tex] 9x = 81 [/tex]

[tex]x = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

We are given that, m<DBC = (6x - 16)°

Plug in the value of x to find the measure

m<DBC = 6(9) - 16 = 54 - 16 = 38°

What is the reciprocal of 5?

Answers

Answer:

reciprocal of 5 is 1 /5.......

Jen and Marcus got 13 miles up river before they ran out of gas. They floated
12 miles back down river before they reached the shore. How far did they
get?

Answers

13x12= 156 they went 156 miles
they got 1 mile. if they went 13 and went back down 12. then it’s 13-12 which is 1

Find the slope of the line passing through the pair of points. (0, 21), (9, 0)

Answers

Answer:

m =-7/3

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]

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