if f(x) = 2 - x^1/2 and g(x) = x^2 – 9, what is the domain of g(x) divided f(x)?

Answers

Answer 1

~Shoto Todoroki here~

Let's consider what we are asked. The domain is defined as a set of points that satisfy the equation on the x-ordinate.

So, essentially, we need to find if and what the restriction on x is.

Let's now consider just f(x) because g(x) is completely irrelevant to the question.

f(x) = 2 - x^(1/2)

Since f(x) can never be 0 for a defined function, let's consider when f(x) = 0 to find a restriction on x.

2 - x^(1/2) = 0

2 = x^(1/2)

+-4 = x

But we can only take the positive 4 because inside a square root has to always be positive (unless you're dealing with complex numbers), so the only restriction is that x cannot be equal to 4.

Therefore, our domain is: x >= 0; x =/= 4

hope this helps :D


Related Questions

A telephone company has to install more than 8 miles of cable. The company has installed 2 miles of cable so far. Let X represent the number of miles of cable left to install. Write an inequality based on the situation to find the number of miles of cable the company has left to install

Answers

Answer:

2 + x > 8

Step-by-step explanation:


Sam deposited $500 in a new

bank account.
• The bank pays 4% interest
compounded annually on this account.
Sam makes no more deposits or
withdrawals.
rounded to the nearest cent

Answers

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

A new craft store, Crazy Crafts, announced its grand opening. On the first day, there were 75 customers. The manager had expected that 45 customers would come. What is the percent error for the manager's estimate?

Answers

The percent error for the manager's estimate is 66.7%

Percent error

Using this formula

Percent error=First day number of customers-Expected  customers/Expected customers×100

Let plug in the formula

Percent error=75 customers-45 customers/45 customers×100

Percent error=30 customers/45 customers×100

Percent error=66.66%

Percent error=66.7(Approximately)

Inconclusion  the percent error for the manager's estimate is 66.7%.

Learn more about percent error here:https://brainly.com/question/5493941

Help me with thissssss

Answers

Answer:

1090 yd squared

Step-by-step explanation:

First, let's find the area of the base

16 x 17 = 272

Now let's find the triangular face

1/2 x 16 x 15

8 x 15 = 120

Since there are 2, we multiply 120 by 2

240

Now the rectangular face

17 x 17 = 289

Since there are 2, we multiply 289 by 2

289 x 2 = 578

Now we add them all together

578 + 240 + 272 = 1090

1090 yd squared

A parallelogram has an area of 37. 72 m² and a height of 4. 6 m. How long is the base of the parallelogram? Enter your answer as a decimal in the box. M.

Answers

Answer:

8.2 m

Step-by-step explanation:

Divide 37.72 (area) by 4.6 (height) to find the base. H x b = A

PLEASE HELP I WILL GIVE 20

Answers

Answer:

1 and 4, 2 and 3, 3 and 7, 4 and 8.

The angle measure in degrees that corresponds to of a circle is
°. Its corresponding measurement in radians is /
.

Answers

Answer:

7/10 = x/360

Solve for x and you will get 252 degrees. Now to convert it to radians,

you do 252 * pi/180(1 pi = 180 degrees) = 1.4pi. This means 7pi/5

Hope it helps!!!!!!brainliest pls!!!!!!!!!!

Rita borrowed $7500 at an interest rate of 3%. The interest paid is $1462.50.
For how many years did she borrow the money?
will mark brainliest

Answers

Answer:

6.5 years

Step-by-step explanation:

Simple interest formula:  [tex]A=P(1+rt)[/tex]

where:

[tex]A[/tex] = final amount[tex]P[/tex] = principal amount[tex]r[/tex] = annual interest rate (as a decimal)[tex]t[/tex] = time (in years)

Given:

[tex]A = 7500 + 1462.50 = 8962.50[/tex][tex]P = 7500[/tex][tex]r = 3\% = 0.03[/tex]

[tex]\implies 8962.5=7500(1+0.03t)[/tex]

[tex]\implies t=\dfrac{100}{3}\left(\dfrac{8962.5}{7500}-1\right)[/tex]

[tex]\implies t=6.5[/tex]

Therefore, she borrowed the money for 6.5 years

what is the other side of 1/2(6x-10)-x so that it is true for all values of x

Answers

Answer:

x=5

Step-by-step explanation:

Victoria bought 14 chicken wings for 19.60. If victoria spent 23.80, how many chicken wings did she buy

Answers

Answer:

17 wings

Step-by-step explanation:

Money/How Many

19.60/14=1.4

1.4 is the unit rate, so we divide 23.80/1.4 to find how many chicken wings

which equals 17

what is the solution to the system of equations.

Answers

Answer:

no solution

Step-by-step explanation:

The solution of a system of equations is where the two lines intersect

Looking at the gray, the two lines never intersect therefore there is no solution.

Answer: 3x -2y -2x 1y

Step-by-step explanation: The lower line is at 3x -2y

                                              The upper line is at -2x 1y  

dont rush i know its alot

Answers

The lines are parallel

help me with this please

Answers

Answer:

the answer is 135

Step-by-step explanation:

........

What is
4 1/4 − 2 2/4?Select the two answers that apply.

Answers

Answer:

C and D

Step-by-step explanation:

Turn these two fractions into improper fractions to make the equation easier.

4 1/4 = 17/4

2 2/4 = 10/4

17/4 - 10/4 = 7/4

7/4 = 1 3/4

Therefore, your answers would be C and D

Select the correct answer.
Which statement best describes the zeros of the function h(x)=(x-6)(x^2+8x+16)

Answers

Answer:

Step-by-step explanation:

h

(

x

)

=

x

2

8

x

+

16

Rewrite the equation in term of

x

and

y

.

h

(

x

)

=

x

2

8

x

+

16

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

4

)

2

+

0

Use the vertex form,

y

=

a

(

x

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

4

k

=

0

The function has two distinct real zeros

jon works in the shipping department at crunchy cereal. to find out how many cereal boxes fit in one shipping container, jon divides the volume of the container by the volume of one cereal box. using the diagram and jon's method, determine how many cereal boxes can be packed in the container.

a) 12 boxes

b) 18 boxes

c) 20 boxes

d) 24 boxes​

Answers

To know the number of boxes that can fit divide the volume of the shipping container by the volume of one cereal box.

How to calculate the number of boxes that can fit in the shipping container?

To do this use the formula;

volume of the shipping container/ volume of a box of cereal = number of cereal boxes that can fit.

How to calculate the volume of the container and the volume of the cereal boxes?

Since both the container and the boxes likely have a defined rectangular shape you can use this formula:

length x width x height

For example:

Dimensions of the container:

120 cm x 100 cm x 100 cm = 1200000 cubic centimeters

Dimensions of the boxes:

30 cm x 30 cm x 10 cm = 9000 cubic centimeters.

1200000 cc / 9000 cc = 133 boxes.

Note: This question is incomplete because the diagram is not provided; due to this, I answered it based on general knowledge.

Learn more about boxes in: https://brainly.com/question/2511671

Find the area of the following figure

Answers

Answer:

A = 280 ft²

Step-by-step explanation:

the figure is composed of a rectangle and a triangle.

area of rectangle = 20 × 10 = 200 ft²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is base and h the height )

b = 20 and h = 18 - 10 = 8 , then

area = [tex]\frac{1}{2}[/tex] × 20 × 8 = 10 × 8 = 80 ft²

total area A = 200 + 80 = 280 ft²

9 x 10 to the power of 5 + 8 x 10 to the power of 4 + 2 x 10 to the power of 3 + 9 x 10 to the power of 2 + 5 x 10 + 1

please

Answers

Answer:

5.94587615×10^9

Step-by-step explanation:

You just...put it in a calculator?

HELPPPPPPPPP MEEEEEE.. please.

Answers

Answer:

Y=6X

Step-by-step explanation:

Step by step explanation is on the pic above

Answer:

y = 6x

Step-by-step explanation:

We can find the relationship by looking at each value for X and Y and finding which number makes the equation true

The first equations says Y = 3 when X = 0.5, Lets put this into an equation

[tex]3= ?*0.5[/tex]

The only number that would make this equation true is 6

[tex]3=0.5*6[/tex]

Lets try another, The Third equation says that Y = 9 when X = 1.5

[tex]9 = 1.5*?[/tex]

Again, the only number that works is 6

[tex]9=1.5*6[/tex]

Hence the equation for this table is [tex]Y=6x[/tex]

how do u work this question out

Answers

find the coordinates, which are (5,4) and (6,8)

What is the standard deviation of this data set? Use a calculator to help you. Round your answer to the nearest tenth. 11, 16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78, 99

Answers

Answer:

It goes by 5 i think so.

Step-by-step explanation:

Just arrange this in two columns first for total of summation x itself and another column for square of all the values and total both then just use the formula
Like this look just find SD

Answers:

O. Reflection (2, 3)+ (-I, 2)
Dilation (2, y) > (0.52, 0.5y)

O. Reflection (2, y) > (-2, y)
Dilation (2, y) > (0.25x, 0.25y)

O. Dilation (2, y) > (-0.752, -0.75y)
Reflection (2, 4) > (-2, 4)

O. Rotation (2, y) > (-y, x)
Dilation (2, y) > (0.5x, 0.5y)


.

Answers

Stop spamming you’re question

Using the net below, find the surface area of the triangular prism.

Answers

Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is [tex]b*h/2[/tex].

Hope this helps :)

Answer:
118 cm²

Step-by-step explanation:

Area of rectangle = l x b
= 7 x 5 = 35cm²
=4 x 7 = 28cm²
Add the area of the three rectangles = 35+35+28
=98cm²
Area of triangle = 1/2 x b x h
= 1/2 x 4 x 5
= 10 + 10 = 20
Therefore, area of the prism = 118cm²

Select the correct answer.
The box plot shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project.

What is the shape of this data set?

A. skewed left

В. skewed right

C. symmetrical

D. cannot be determined
here

Answers

I am pretty sure it is b

can someone please help me.

Answers

answer is the 3rd one np


Aaliyah and Phildres are joining a gym that offers two different payment plans. Aaliyah
chooses Plan A, and Phildres chooses Plan B.
Which equation can be used to solve for the number of classes, c, for which the cost
of Plan A equals Plan B?

Answers

Answer:

50c=10c+200

Step-by-step explanation:

Two different payment plans, the equation which can solve for the number of classes that equates to both plans is 200 + 10c = 50c.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To solve for the number of classes, c, for which the cost of Plan A equals Plan B, you can use the equation: 200 + 10c = 50c.

In this equation, the left-hand side represents the cost of Plan B, and the right-hand side represents the cost of Plan A. The variable, c, represents the number of classes that Aaliyah and Phildres attend.

To solve for c, you can use algebraic techniques to isolate the variable on one side of the equation. For example, you could subtract 10c from both sides of the equation to obtain: 200 = 40c. Then, you could divide both sides of the equation by 40 to obtain: 5 = c.

Therefore, the number of classes, c, for which the cost of Plan A equals Plan B is 5.

Learn more about the equations here:

brainly.com/question/29657992

#SPJ2

The question seems to be incomplete the correct question would be:

Aaliyah and Phildres are joining a gym that offers two different payment plans. Aaliyah chooses Plan A, and Phildres chooses Plan B.

Plan A

No yearty fee

Plan B

$200 yearly fee

$50 for each class

$10 for each class

Which equation can be used to solve for the number of classes, c, for which the cost of Plan A equals Plan B?

Alice, Andrew, and six other students are to be divided into two teams of four people. How many ways are there to form the teams so that Alice and Andrew are on opposite teams

Answers

The number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Combination

Since Alice, Andrew, and six other students are to be divided into two teams of four people, and we require the number of ways to form the teams so that Alice and Andrew are on opposite teams, this is a combination question since order doesn't matter.

Number of ways of combining the first team

For the first team of 4, if Alice takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is n = 1 × ³C₃

= 1 × 1

= 1 way

Number of ways of combining the second team

Also, for the second team of 4, if Andrew takes the first position, then there are 3 positions left to be occupied by the remaining 3 persons.

So, the number of ways of combining this team is N = 1 × ³C₃

= 1 × 1

= 1 way

Number of ways of combining both teams

So, the number of ways teams can be formed so that Alice and Andrew are on opposite teams is N' = n + N

= 1 + 1

= 2 ways

So, the number of ways there are to form the teams so that Alice and Andrew are on opposite teams is 2 ways.

Learn more about combination here:

https://brainly.com/question/25821700

What is the approximate volume of the earth? How much larger is Earth than Mars?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is defined to be:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Plug in the values for both planets. The radii of the planets was already given:

[tex]V_e=\frac{4}{3} \pi (6378.1)^3[/tex]

[tex]V_e=1.1*10^1^2kg^3[/tex]

[tex]V_m=\frac{4}{3} \pi (3390.0)^3[/tex]

[tex]V_m=1.6*10^1^1kg^3[/tex]

Earth is this many times larger than Mars:

[tex]\frac{V_e}{V_m} =\frac{1.1*10^1^2}{1.6*10^1^1} =6.9[/tex]

The original price, p, of a single scoop of ice cream has increased by 6.5%.
The new price can be represented as 1.065p.
Which expression is also equivalent to the new price?
help please

Answers

Answer:

p*106.5/100

Step-by-step explanation:

What is the first thing you should place on a double number line diagram?

Answers

Answer:
the lines

Step-by-step explanation:

first you have to draw the lines on a double number line diagram

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