determine the domain of each of the real functions

f (x) =
[tex] \sqrt{x2 - 16} [/tex]

f(x) =
[tex] \sqrt{4 - x2} [/tex]


f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]

Answers

Answer 1
Number one... x=8
Number two... x=2
Number three... no x-intercept/zero

Related Questions

Some number added to 5 is equal to -11. Find the number.

Answers

Answer:

5-16= -11

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

5+?=-11

move the equation around..

-11-5=?

-11-5=-16

you can move the equation around again to be sure..

5+(-16)=-11

yes it does

HAVE A GREAT DAY (:

What’s the product of 728x32

Answers

Answer:

23296

Step-by-step explanation:

You will know this if you use box method or using standard form its pretty much simple multiplication

The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?

Answers

Answer:

work is attached and shown

The coordinates of the other endpoint are (18, -9)

The given points;

midpoints M = (8, 0)

one end points, H = (-2, 9)

The coordinate of the other end point is calculated as;

[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]

From the above equation, the x coordinate is calculated as;

x - 2 = 16

x = 18

The y coordinate is calculated as;

y + 9 = 0

y = -9

Thus, the coordinates of the other endpoint are (18, -9)

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Find the difference: 34x-4x+2y=?

Answers

Answer: The answer is 30x-2y

Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.

If LN=54 and LM= 31, find MN

Answers

I hope this helps. If you have any more questions message me and Id be happy to explain

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.

Answers

Answer:

The upper bound of the area is 6.69375 cm²

The lower bound of the area is 6.32875 cm²

Step-by-step explanation:

The question relates to measurements and accuracy

The given information are;

The base length of the triangle = 3.1 cm

The height of the triangle = 4.2 cm correct to one decimal place

The lower bound for the base length of the triangle = 3.05 cm

The upper bound for the base length of the triangle = 3.15 cm

Similarly, the lower bound for the height of the triangle = 4.15 cm

The upper bound for the height of the triangle = 4.25 cm

The formula for calculating the area of a triangle is given by the following formula;

Area of a triangle = 1/2 × Base × Height

The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height

The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²

The upper bound of the area = 6.69375 cm²

The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height

∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²

The lower bound of the area = 6.32875 cm²

Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?

Answers

I think it b but I’m not sure

Step-by-step explanation:

chinese dynasties=C

Hinduism birthplace=B

Hebrew culture=A

Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound

Answers

Answer:

3/4+1/5=19/20

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

3/4+1/5

find the common denominator

15/20+4/20= 19/20

Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.

Answers

Answer:

191

Step-by-step explanation:

47+144=191

Answer:

equation: 144+ 47= 191

Step-by-step explanation:

Which ordered pair on the graph represents the situation described in part F?
B
1
U
X'
X
Font Sizes

Answers

Answer:

The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.

Step-by-step explanation:

The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)

Answers

Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

Answer:

volume and density

Step-by-step explanation:

solve attachment 30 points!!!!!

Answers

Answer:

[tex]A=\frac{B^3}{5g+m}[/tex]

Step-by-step explanation:

Step 1: Write out equation

5gA + mA = B³

Step 2: Factor out A

A(5g + m) = B³

Step 3: Divide both sides by 5g + m

[tex]A=\frac{B^3}{5g+m}[/tex]

what is the sum of 3/20+ the square root of 10

Answers

Answer:

3.31

Step-by-step explanation:

sqr 10 = 3.16

3/20 = .15

3.16+ .15

3.31

4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-





!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

whats the answer thanks

Answers

Answer:

3

Step-by-step explanation:

closed circle=equal to

It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)

Answers

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

3. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

Answers

Answer:

3/5

Step-by-step explanation:

3y = ax + 7

3(4) = a(3) + 7

12 = 3a + 7

5 = 3a

3/5 = a

Best of Luck!

Value:

x = 3

y = 4

Given Equation:

3y = ax + 7

Solution:

By putting the values of x and y, we get

3(4) = a(3) + 7

or, 12 = 3a + 7

or, 12 - 7 = 3a

or, 5/3 = a

Answer:

a = 5/3

To Check:

12 = 5/3(3) + 7

or, 12 = 12

LHS = RHS

Hence, Verified.

I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE

Answers

Answer:

false?

Step-by-step explanation:

first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.

the answer would be true

Evaluate y = 3x - 5 when x = 6

Answers

y=13

Step-by-step explanation:

y=3x-5

y=3(6)-5

y=18-5

y=13

Quick Question


a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.


b) Write one million in scientific notation.

Answers

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab

Answers

Answer:

          AB = 2

Step-by-step explanation:

If B is the midpoint of AC then:

 AB  =  BC

4x - 10 = x - 1

+10         +10

4x  =  x + 9

-x       -x

3x  =  9

÷3      ÷3

x = 3

AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2

Differentiate Square numbers and cube numbers

Answers

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

How much can 2 go into 80

Answers

Answer:

40

Step-by-step explanation:

80/2= 40

I need helpppp with this question

Answers

Answer: Y = 6 and X = 5

Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah

which situation could NOT represent a proportional relationship? F The number of gallons of water in x barrels with 42 gallons of water in each barrel G The amount an employee who makes $8.50 per hour earns in h hours the weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 8 pounds 1 The cost of purchasing p pounds of bananas for $0.55 per pound​

Answers

Answer: it’s H <3

Step-by-step explanation: I had this on my homework and I got it right^^

It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.

What proportional relationship?The relationship is said to be proportional when two or more items are directly proportionate or change in size according to equivalent ratios.The formula y = kx can be used to express this proportional relationship. The quantities that are proportional to one another in this case are y and x.In this case, the unit rate is another name for the proportionality constant (k).Proportional relationships can be worked with algebraically, but they can also be represented visually by graphing them on a coordinate plane.On the graph, a proportionate relationship is always represented as a straight line across the origin.

Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours

The complete question is:

Which situation could NOT represent a proportional relationship?

A: The number of gallons of water in x barrel with 42 gallons of water in each barrel

B: The amount an employee who makes $8.50 per hour in h hours

C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds

D: The cost of purchasing p pounds of bananas for $0.55 per pound​

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True or false, 6 divided by 1/2 is larger than 6 1/2​

Answers

Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

7) A real number that is less than zero. These represent opposites.

Answers

Answer:

A negative number

Step-by-step explanation:

I know this is right. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left.In the context of negative numbers, a number that is greater than zero is referred to as positive. Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

It’s a negative number because anything less then Zero is negative

= loan
6
2) The wire length 176 cm is first bent into a square
and then into a circle
which one will have more area? (II= 22/7)

Answers

Length of Wire = 176 cm

It's bent into a square.

Side of square = 176/4 = 44 cm

Area of square = Side × Side = 44 × 44 = 1,936 sq.cm

Then it's bent into a circle.

Circumference of the circle = 2πr = 176 cm

Circumference = r = 176/2 × 7/22 = 28 cm

Area of circle = πr^2

Area = 22/7 × 28 × 28

Area = 2,464 sq.cm

The Circle will have more area than the square.

[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]

Expand:

[tex]x\times x^2+8x=8x+8\times 1[/tex]

[tex]x^3+8x=8x+8[/tex]

Subtract 8x from both sides:

[tex]x^3+8x-8x=8x+8-8x[/tex]

[tex]x^3=8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]

[tex]x=2[/tex]

Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms

X^4+18x^2+81=( )^2+2( )x^2+ ( )^4

Answers

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2

The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x⁴ + 18x² + 81

Let u = x²

[tex]\rm =u^2+18u+81[/tex]

or

= (x²)² + 2(9)x² + (3²)²

= (u + 9)²

= (x² + 9)²  or

= (x² + 9)(x² + 9)

Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

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