f(x) = 3/x+2-√x-3
The domain for f(x) is all real numbers ___ than it equal to 3

Answers

Answer 1

The domain of f(x) is all real numbers > than it equal to 3, for f(x) = 3/x + 2 - √(x - 3).

The domain of a function f(x) is the set of all real values of x, for which real f(x) exists.

In the question, we are asked to find the domain of the function f(x) = 3/x + 2 - √(x - 3).

To find the domain of f(x), we need to check the real values of x, for which real f(x) exists.

We check each part of f(x):

For 3/x, every x gives a real value except x = 0.

For 2, every x gives a real value as it is not dependent on x.

For √(x - 3), real values exist when x - 3 ≥ 0, as negative square roots are not real.

Therefore, after assessing each term, we can say that the domain for f(x) is x - 3 ≥ 0, or x ≥ 3.

Therefore, the domain of f(x) is all real numbers > than it equal to 3, for f(x) = 3/x + 2 - √(x - 3).

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Related Questions

perimeter and area of a rectangular figure has a perimeter of 34cm its length is 9cm​

Answers

Answer:

Perimeter of rectangle = 32

Step-by-step explanation:

32 = 2(L+B)

L+B=16

B=16-L

B=16–9

B=7

AREA = L*B

AREA = 63sq.cm

2/3*Z=1 1/9i will award brillenest

Answers

Answer:

5/3i

Step-by-step explanation:

Answer:

5/3i

Step-by-step explanation:

What is the y-intercept of the line whose equation is:
6x + 2y = 4
A.1
OB. 2
O C.4
D. 6

What is the y-intercept of the line whose equation is:6x + 2y = 4A.1OB. 2O C.4D. 6

Answers

Answer:

2

Step-by-step explanation:

Use the intercept method.  Where is y when x = 0?

Giving brainliest to first accurate answer.

Giving brainliest to first accurate answer.

Answers

I believe the it would be 2x^2 + 6x + 20 = 0.

Solve for b
7b-2/5=6b− 7/5

Answers

Answer:

- 1

Step-by-step explanation:

Step 1:

7b - 2/5 = 6b - 7/5   Equation

Step 2:

7b = 6b - 1   Add 2/5 on both sides

Answer:

b = - 1   Subtract 6b on both sides

Hope This Helps :)

7b-2/5 = 6b-7/5
5(7b-2) = 5(6b-7)
35b-10 = 30b-35
5b = -25
b= -5

Find x. √11 X = √17 VIRI X​

Answers

1.243 is the measure of the value of x from the given expression

Solving rational equations

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.


Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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For a quadrilateral to be a square, the diagonals must beCongruent and perpendicularCongruent PerpendicularParallel

For a quadrilateral to be a square, the diagonals must beCongruent and perpendicularCongruent PerpendicularParallel

Answers

Recall that:

1) A quadrilateral is rectangle if it has congruent diagonals.

2) A quadrilateral is rhombus if it has perpendicular diagonals.

Also, recall that a square is a rectangle that is also a rhombus, therefore its diagonals must be congruent and perpendicular.

Answer: Congruent and perpendicular.

what is the complete factored form of 49 - 28m + 4m^2

Answers

Answer:

( 7 − 2 m ) ^2

Step-by-step explanation:

Which of the following is a like radical to 3 √ 6x²?

Which of the following is a like radical to 3 6x?

Answers

The like radical to 3 √ 6x² is given as follows:

4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)

What are like radicals?

Like radicals are two radical expressions that have the same indices and radicand.

The concepts of the index and of the radicand of a radical are given as follows:

Radicand: Variable inside the root.Index: The root, if it is square, cube, and so on...

In the context of this problem, the radical expression is presented as follows:

3 √ 6x²

The index and the radicand are given as follows:

Index: 3.Radicand: 6x².

Applying the concept of like radicals, any expression in this format is a like radical to 3 √ 6x².

n(3 √ 6x²).

That is, any multiple of the term.

The third option gives a multiple of the given expression, hence the like radical is given as follows:

4(3 √ 6x²) = \(4(\sqrt[3]{6x^2})\)

(using Latex for better visual).

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Please hurry!
25 points

Before heading out on a road trip, Diego’s family filled up their car’s gas tank with 20 gallons of gas.As the trip went on,the car used 2 gallons of gas everyday.

When will the gas tank be empty if Diego’s family does not refill it? Explain your reasoning

Answers

Answer:

10 days until the tank is empty

Step-by-step explanation:

has 20 gallons of gas

use 2 gallons every day

20/2 = 10 days to use up all the gas

Answer:

It will go empty in 10 days.

Step-by-step explanation:

Why will it go empty in 10 days? Because if you divide the amount of gas you have (20 gallons) with how much they will use every day (2 gallons), then you get 10. 10 will equal the amount of days until their car breaks down.

equation:  2x=20

the equation you could use to solve this in your head: 20/2=x

How do I do the math here? I am not sure how to set it up with having only one angle to work with.

How do I do the math here? I am not sure how to set it up with having only one angle to work with.

Answers

Answer:

angle A = 112 degrees

Step-by-step explanation:

Angle ADC is bisected (given)  ...so angle 1 = angle 2  

    then angle D = 68 degrees

now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )

  angle A = 180 - 68 = 112 degrees

Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students

Answers

Your answer is B or 130 students

−2(2x+3)≤26

-

2

2

x

+

3



26

?

Answers

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\(- 2 ( 2 x + 3 ) \leq 26.\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(- 2 ( 2 x + 3 ) \leq 26\)

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

\(2x+3\geq \frac{26}{-2} \\ \)

Divide 26 by -2..we'll get the answer as -13.

\(2x+3\geq -13 \)

Now, subtract 3 from both the sides.

\(2x\geq -13-3 \)

Subtracting -13 by 3..we'll get the answer as -16.

\(2x\geq -16 \)

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

\(x\geq \frac{-16}{2} \\ \)

Divide -16 by 2..we'll get the answer as -8.

\( \huge \boxed{ \boxed{ \bf \: x\geq -8 }}\)

The correct answer is ⇨ x greater than or equal to -8.

Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine how much Francium (in grams) will be left after 2 hours

Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine

Answers

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

Half-life problem

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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A poster has a thickness of 1.2 x 10-2 inches.
If two posters are glued together, find the
combined thickness of the posters.

Answers

Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

A poster has a thickness of 1.2 x 10-2 inches. If two posters are glued together, find the combined thickness

HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.

HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the

Answers

Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26


The segments shown below could form a triangle.

A. True
B. False

The segments shown below could form a triangle.A. TrueB. False

Answers

Answer:

true

Step-by-step explanation:

Need help asap. Please interact no bots!!!!

Need help asap. Please interact no bots!!!!

Answers

The statement postulate that can be used to determine BC is AC = AB + BC and the value of BC is 3 units

Part A: The statement postulate that can be used to determine BC

From the question, we understand that:

The point B is between the points A and C

Such that

AC = 10

AB = 7

By the straight lie postulate, we have

AC = AB + BC

Hence, the statement postulate that can be used to determine BC is AC = AB + BC

Part B: What is the value of BC?

Recall that

AC = AB + BC

So, we have

10 = 7 + BC

Subtract 7 from both sides

BC = 3

Hence, the value of BC is 3 units

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Estimate a 10% tip on a restaurant bill of $75.28.

Answers

8 dollars

Step-by-step explanation:

without rounding it is $7.52 but you would round that to 8

Donna wants to create a stained glass window composed of one quarter circle two semi circles and one parallelogram which measurement is the closest to the amount of stained glass in square inches

Answers

Answer:

Wheres the picture so show the measurements

Step-by-step explanation:

Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?

A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.
Negative one and three-fourths
Negative 1 and one-fourth
1 and one-fourth
1 and three-fourths

Answers

Answer:

the answered is a

Step-by-step explanation:

hope this helps

PLS HELP ME ANSWER THIS QUESTION..

PLS HELP ME ANSWER THIS QUESTION..

Answers

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

PLS HELP ME ANSWER THIS QUESTION..

David is going to invest $290 and leave it in an account for 15 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
David to end up with $570?

Answers

4.5%. if you want the steps go to a website called calculator soup.

Which of the following is coterminal to 500 degrees in radians?

5pi/6
8pi/9
2pi/3
7pi/9

Answers

Answer:

7pi/9

Step-by-step explanation:

subtract 360 from 500 as many times as you can

number left should be converted to radians

500 - 360 = 140

140 * (pi/180) =

140Pi/180 =

simplify by dividing by 20 top & bottom

7Pi/9

varsitytutors

using distributive property to find 5/6 × 3 1/10 ​

Answers

Answer:

2 and 7/12

Step-by-step explanation:

5/6 * (31/10)

=5/6 * (31/10)

=31/12

=2 7/12

HOPE THIS HELPS!!! <3333

-Silver

I need help! I don't really understand.... Can someone help for these 2 questions?? Part A and B??

I need help! I don't really understand.... Can someone help for these 2 questions?? Part A and B??

Answers

Answer:

A. 6x + 4

B. 22 cm

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.

When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.

If matt and Jan each make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?

Answers

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

what is unitary method ?

Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.

given

For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.

Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.

If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.

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Stephen is combining all juice shown to make fruit punch. Does the expression (64+28+76)/6 make sense’s

Answers

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Last year's sales at Mel's Cinema totaled $144,600. This year's sales should increase by 1/3. How much should sales increase by, and what will sales be in the new year?

Answers

Sales will increase by 48,200 and sales will be 192,800 in the new year

An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.

Answers

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

What is the conversion table?

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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