What is the domain of the function?

y= sqrt 5x-10

Answers

Answer 1

I don't know if this will help but I found this on YAHOO!

Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

Step-by-step explanation:

f(x) = sqrt (5x-10)

Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

Answer 2

The domain of the above function is (2, ∞) .

What is a Domain ?

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

For the given function   [tex]y = \sqrt{5x-10[/tex]

The domain will be the value that satisfies the function and produces a value of y

For any value less than 2 , the value of v will be an imaginary number .

As the square root of a negative number will be an imaginary number.

Therefore (2, ∞) is the domain of the above function.

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Related Questions

The function f(x) = -x^2 - 2x + 15 is shown on the graph. What are the domain and range of the function?

Answers

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS* [(-∞, ∞)].

Answer: the domain is all real numbers. the range is {y|y ≤ 16}

Step-by-step explanation:

Don’t have trust issues

find the missing angle measures in the figure? A.) 103 degrees B. ) 93 degrees C.) 113 degrees D.) 83 degrees​

Answers

I would think A. i just tried to figure it out on my own but forgive me if I'm wrong but I'm positive I'm right

The square root of 73

Answers

8.5 is the answer to your question

The square root of 73 is approximately 8.544. It lies between the perfect squares of 64 and 81. The square root cannot be represented exactly as an integer or a simple fraction.

To find the square root of 73, we recognize that it is not a perfect square. Thus, the square root cannot be represented exactly as an integer or a simple fraction. We use approximation methods or a calculator to find it.

Steps to Find the Approximate Square Root of 73:

First, find the nearest perfect squares surrounding 73. We know that 64 (8²) and 81 (9²) are the closest.Next, since 73 is closer to 64, we can estimate that √{73} is slightly more than 8.Using a calculator, we find that the square root of 73 is approximately 8.544.

So, the square root of 73 is about 8.544.

What is the distance between the points (–4, –5) and (5, –1)?

Answers

Answer:

About 4.39.

Step-by-step explanation:

The distance formula is the square root of ( x2 − x1 ) squared + ( y2 − y1 ) squared. Plugging in our x and y values, you get 4.386342439892262, which rounds up to 4.39.

The answer is 4.39 and that’s the answer

find the mean,median,and mode for the data.

114;120;115;114;118;117;114

pleassssseeee

thanks
:)

Answers

Answer:

Mean: 116

Median: 115

Mode: 115

Step-by-step explanation:

Mean is the average of the data set; it’s found by adding up all the numbers and dividing that sum by the number of numbers there are

(114 + 120 + 115 + 114 + 118 + 117 + 114)/7 = 812/7 = 116

Median is found out by ordering the given numbers from largest to smallest and finding the middle number; if there are an even number of given numbers, you add them up and divide by two.

In this case, you are lucky enough to be given an odd numbers of given numbers

Ordering (smallest to largest):

114, 114, 114, 115, 117, 118, 120

Median is 115

(this is the number in the middle of the data set)

Mode is the most frequently occurring number in the data set

In this case, the

Mode is 114

The mean of the data is 116, the median is 115, and the mode is 114. All three measures offer insights into the dataset's central tendencies.

To find the mean, median, and mode of the given data: 114, 120, 115, 114, 118, 117, 114, let's follow these steps:

Mean: Add all the numbers together and divide by the number of data points.

Sum: 114 + 120 + 115 + 114 + 118 + 117 + 114 = 812Number of data points: 7Mean: 812 / 7 = 116

Median: Arrange the numbers in ascending order and find the middle value. If there is an even number of observations, calculate the average of the two middle values.

Ordered data: 114, 114, 114, 115, 117, 118, 120Since n = 7 (an odd number), the median is the 4th value which is 115

Mode: The most frequently occurring value in the dataset.

Mode: 114 (appears 3 times)

Thus, the mean is 116, the median is 115, and the mode is 114.

Which graph best represents the solution to the following pair of equations?


y = −2x + 13

y = 2x − 3


A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, negative 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2x plus 13 and y is equal to 2x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, negative 5.

Answers

ANSWER

See attachment

EXPLANATION

The given equations are:

y = −2x + 13

y = 2x − 3

We equate the two equations to get

−2x + 13=2x − 3

Group similar terms:

-2x-2x=-3-13

-4x=-16

Divide both sides by -4,

x=4

Put x=4 into equation (2)

y=2(4)-3

y=5

The two graphs should intersect at:

(4,5)

Answer: The answer is (4, 5)

Step-by-step explanation:

-6n+21 =12n-15 I need help solving the equation

Answers

Answer:

n = 2

Step-by-step explanation:

Given

- 6n + 21 = 12n - 15 ( collect terms in n on the left and numbers on the right )

Subtract 12n from both sides

- 18n + 21 = - 15 ( subtract 21 from both sides )

- 18n = - 36 ( divide both sides by - 18 )

n = 2

Share £747 in the ratio 2:7

Answers

Answer:

£166 : £581

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

2 : 7

( × 83 both sides )

166 : 581

What is the LCM of 5,13 and 10

Answers

1 because 13 is not divisible buy anything other than 1

The  LCM of 5, 13 and 10 is 130.

What is the LCM of 5,13 and 10?

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

The LCM is the smallest number that is a multiple of 5, 13, and 10. To find the LCM, we can use the following steps:

1. Find the prime factorization of each number.

2. Find the highest power of each prime factor.

3. Multiply the prime factors together, using the highest power of each factor.

The prime factorization of 5 is 5.

The prime factorization of 13 is 13.

The prime factorization of 10 is 2 * 5.

The highest power of 2 is 1.

The highest power of 5 is 1.

The highest power of 13 is 1.

Therefore, the LCM of 5, 13, and 10 is:

2 * 5 * 13 = 130

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Helppp 1-7 pleaseee !!!!!

Answers

1.RT

2.QS

3.PS

4.T

5.QR

6.QSR

7.QRS

If correct mark best answer!

The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet?

Answers

Answer: 10 pounds of force

Answer:

10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.

Step-by-step explanation:

From the given graph it is clear the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20) and (4,15).

These points satisfy by the equation

[tex]y=\frac{60}{x}[/tex]

where, x is the distance in feet from the fulcrum and y is needed force in pounds.

Put x=6 in this equation,

[tex]y=\frac{60}{6}=10[/tex]

Therefore, 10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.

Why is it important for pregnant women to include leafy green vegetables and oranges in their diet

Answers

Hm..Maybe so that when they give birth the stretch Mark's on their body wont be so bad.

Because it provides the child with nutrition to sustain life in the mother’s stomach

Write parametric equations of the line -3x+4y=7

Answers

Answer:

x = 1 + t and y = 2.5 + 0.75t

Step-by-step explanation:

Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:

(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.

Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:

(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!

Answer:

x=t, y=(3/4)t+(7/4)

Step-by-step explanation:

We start by changing the equation the slope-intercept form.

4y=3x+7

y=(3/4)x+(7/4)

then we set x equal to t

x=t

and substitute

y=(3/4)t+(7/4)

that's it.

can you guys solve this lina is making jewelry.she has 7 beads and buys 4 additional packets of beads that each have the same number of beads.write an expression to show the total of beads that lina uses.1 the number of beads lina has 2 the total number of beads in the four packets 3 the total number of beads lina has

Answers

Answer:

4b+7

Step-by-step explanation:

7 beads= +7

4 packs= 4b

expression= 4b+7

The solution to the question "write an expression to show the total of beads that lina uses" is:

The number of beads Lina has = 7

The number of beads in the four packets = 4n

The total number of beads that Lina now has = 4n  +  7

The number of beads Lina originally has = 7

The number of additional packets bought = 4

Let the number of beads in each packet be n

Total number of beads in the 4 packets = 4  x  (number of beads in each packet)

Total number of beads in the 4 packets = 4n

The total number of beads that Lina now has = (The number of beads in the 4 packets)  +  (The number of beads she originally has)

The total number of beads that Lina now has = 4n  +  7

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the radius of a cylinder is multiplied by 6 while the height is kept the same. what effect does this have in the volume of the cylinder​

Answers

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=\stackrel{\times 6}{6r} \end{cases}\implies V=\pi (6r)^2 h\implies V=\pi (6^2r^2) h \\\\\\ V=36~~\pi r^2 h\impliedby \textit{36 times the original volume}[/tex]

The effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36

Calculating the volume of a cylinder

From the question, we are to determine what effect multiplying radius by 6 would have on the cylinder

Using the formula for calculating the volume of a cylinder

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

If the r is the radius and h is the height of the first cylinder,

Then, volume of the first cylinder will be

V = πr²h

For the new cylinder

radius = 6r

and h = h

Then, volume of the new cylinder will be

V₂ = π × (6r)² × h

V₂ = π × 36r² × h

V₂ = 36πr²h

The new volume is multiplied by a factor of 36

Hence, the effect that multiplying the radius by 6 would have on the volume of the cylinder is the volume would increase by a factor of 36.

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can you simplify before multiplying 14×25/27​

Answers

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

Final answer:

Before multiplying in the expression 14×25/27, try to simplify. Simplify 25/27 first, which gives an approximate decimal 0.9259. Multiply the approximation by 14, which gives the approximately 12.9626.

Explanation:

Yes, you can simplify before multiplying in the given expression, 14×25/27. This follows the mathematic principle of simplifying terms prior to engaging in the operation. Here's how you can do it:

First let's simplify 25/27. This cannot be simplified further and will result in an approximation when decimalized, around 0.9259.Then, multiply the simplified fraction or its decimal approximation by 14. So, multiplying 14 by 0.9259 gives approximately 12.9626.

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The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less than 12,000?

Answers

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

What is the maximum value that the graph of y=cos x assumes?

Answers

Answer:

I am assuming you mean a normal cosine parent graph. The maximum a y=cos(x) graph can approach is one.

Answer:

1

Step-by-step explanation:

Which of the following descriptions matches the sequence of events shown
in the tree diagram below?

Answers

The answer would be d- tossing s coin, tossing a second coin, and tossing a third coin

Answer:

Option: D is the correct answer

D. Tossing a coin, tossing a second coin and tossing a third coin.

Step-by-step explanation:

We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.

Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.

and the total sample space of the two events is given by:

HH    HT   TT     TH

Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.

Hence, the total number of outcomes are:

HHH    HTH    TTH   THH

HHT     HTT     TTT    THT

i.e. when a coin is tossed n times that the total possible outcomes are:

                           [tex]2^n[/tex]

Here the coin is tossed three times.

Hence, the total possible outcomes are:  [tex]2^3=8[/tex]

Draw a 30° angle in standard position on the coordinate plane. Show the direction of rotation. Label the terminal side and the angle measure.

Answers

also the direction is anti clockwise

I hope it could help you :)

Final answer:

To draw a 30° angle in standard position on the coordinate plane, start by drawing the initial side of the angle which is the positive x-axis. Use a protractor to measure a 30° angle counterclockwise from the initial side. Then draw a line from the origin to the endpoint of the angle to represent the terminal side. Label the angle measure as 30° and label the terminal side accordingly. Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

Explanation:

To draw a 30° angle in standard position on the coordinate plane, follow these steps:

Start by drawing the initial side of the angle, which is the positive x-axis.Using a protractor, measure a 30° angle counterclockwise from the initial side.Draw a line from the origin to the endpoint of the angle to represent the terminal side.Label the angle measure as 30° and label the terminal side accordingly.Indicate the direction of rotation by drawing an arrow showing the counterclockwise direction.

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8.28÷0.72=115 can you please help me with this I'm struggling​

Answers

Answer:

a

Step-by-step explanation:

Statistics
1. What is the sum of all the results included in the sample divided by the number of observations. It is the average.

2. total data set

3. this is the collection, display, and analysis of the data

4. this is asking or inquiring people's opinion

5. this is the most frequently occurring element in a set

6. this measures the deviation between the scores and the mean, it mesures how dispersed the data is. the higher this is the more spread out the data is from each other.

7. the type of sample in which each member of the sample set or group has equal chance of being chosen

8. the spread of the middle 50% of the data

9. the middle term in a set of data. if the data set has an even number of terms this is the average of the two middle terms.

10. this is the process of gathering data from every member of a population

Answers

Answer:

1.  mean

2. population

3. statistics

4. survey

5. mode

6. standard deviation

7. random

8. interquartile range

9. median

10. census

Step-by-step explanation:

Mr and mrs turner ate 3/4 of a pizza. They want to split the remaining part equally between their two sons how much of the pizza will each son recive

Answers

The remainder would be 1/4 of the pizza. 1/4 is equivalent to 2/8 of the pizza. This 2/8 can be easily divided for both sons. Therefore the answer would be each son would receive 1/8 of the pizza.

Calculate the area of a circle with a radius of 8 feet

Answers

Answer:

201.06 square feet

Step-by-step explanation:

area of a circle is given by πr², where π = 3.1416

A = 3.1416 * 8²

A = 3.1416 * 64 = 201.0624 square feet

A = 201.06 square feet

What is the slope of (-8, 2) and (1, -4).

Answers

Answer:

-2/3

Step-by-step explanation:

To find the slope of two points

m = (y2-y1)/ (x2-x1)

    = (-4-2)/(1--8)

   = (-4-2)/(1+8)

   = -6/9

   -2/3

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-8, 2) and (1, -4). Substitute:

[tex]m=\dfrac{-4-2}{1-(-8)}=\dfrac{-6}{9}=-\dfrac{6}{9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}[/tex]

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 25 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answers

Answer:

93

Step-by-step explanation:

180-25=155

155÷5=31

31×3=93

A triangle is a three-edged polygon with three vertices. The measurement of the largest angle of the triangle is 93°.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Let the measure of the smallest angle be x. And as it is given that the measure of the second angle is 3 times the smallest, while the measure of the third angle is 25 more than the smallest angle. Therefore, the measure of the angles can be written as,

∠1 = x

∠2 = 3x

∠3 = x + 25

Since the sum of all the angles of a triangle is 180°, therefore, the sum can be written as,

∠1 + ∠2 + ∠3 = 180°

x + 3x + (x+25) = 180°

x + 3x + x + 25 = 180°

5x + 25 = 180°

5x = 180° - 25°

5x = 155°

x = 31°

Now, the measurement of all the angles is,

∠1 = x = 31°

∠2 = 3x = 3(31°) = 93°

∠3 = x + 25 = (31+25)° = 56°

Hence, the measurement of the largest angle of the triangle is 93°.

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What’s this answer to this question?

Answers

Answer:

Step-by-step explanation:

$20.00

Stuck on geometric series question (in picture)

Answers

Answer:

The value of a7 is 128

Step-by-step explanation:

* Lets revise the rule of the geometric series

-There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

# a1 = a  ,  a2  = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

# an = ar^n-1, where a is the first term , r is the constant ratio

   between each two consecutive terms , and n is the position

   of the term in the series

* Now lets solve the problem

∵ a = 2

∵ r = -2

* To find a7 put n = 7

∵ an = a (r)^n - 1

∴ a7 = 2 (-2)^(7 - 1) = 2 (-2)^6

∵ (-2)^6 = 64 ⇒ even power canceled the negative sign

∴ a7 = 2 (64) = 128

∴ The series is : 2 , -4 , 8 , -16 , 32 , -64 , 128 , ............

* The value of a7 is 128

which parent function is represented by the graph

Answers

Answer:

D. Reciprocal parent function

Step-by-step explanation:

The given function has the x-axis as the horizontal asymptote

The vertical asymptote is the line x=0, which is the y-axis.

This means that the function has x, in the denominator.

Therefore, the function represented by the graph is [tex]\frac{1}{x}[/tex].

This is the parent reciprocal function.

The correct choice is D

( 10 points) please help asap!!!

Answers

Answer:

f+5, g-10, 10-g, and 1/2p

Hope This Helps!   Have A Nice Day!!

Answer:

A: F + 5

B: g - 10

C: 10 - g

D: P divided by 2

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Did I write all my French in the present tense?so I am meaning to say " I have a backpack, my bike, a tent, my sleeping bag..."I have it written as "jai un sac dos, mon vlo, une tente, mon sac de couchage,..." Is that grammatically correct?In addition, I need to say "some food and water" in French. I have that written as "de la nourriture et de l'eau." Is this grammatically correct, too?Furthermore, is this piece of French correct?I wrote "je suis aller la pche," wanting it to say "I am fishing."merci d'avance Please help me out with this please help me ASAP!!!i'll give you the brainliestwhy are the seminal vesicles important for human reproduction?A.They allow the sperm to travel to the urethra to be released.B.They produce sperm cells that will fertilize the egg.C.They allow the sperm to be stored and help the sperm mature.D.They produce the materials needed by the sperm to travel to the egg. Which of the four plans of St. Peters Basilica is represented in the image below? a. Old Saint Peters Basilica b. Bramantes plan c. Michelangelos plan d. Madernos plan The socially determined behaviors expected of a person performing a role are called role performances.Please select the best answer from the choices providedF 16. Which of the following explanations accounts for theformation of sunspots?O A. The curvature of magnetic fields near the sun's equator createspockets in the photosphere that aren't warmed by convection.B. Magnetic field reversal causes portions of the sun to die slowlyover time, leaving dark marks.O C. The movement of plasma is much faster on the poles than on thesun's equator, and this creates pockets of intense heat.OD. Volcanic eruptions are sustained by the photosphere, resulting inhardened lava on the sun's surface. (05.06)Choose the graph below that represents the following system of inequalities: (1 point)y 3x + 1y 1 over 2 x + 3 Choose the correct Spanish equivalent for "There was a king." Need help ASAP !!!! If you were presenting to a group of teenagers about why they should participate in an activity or group once it is created, how would your presentation be different? Check all that apply.A) It would be best to give the same presentation.B) It would be wise to revise the presentation to highlight the advantages of joining the activity or group.C ) It would be appropriate to change the hook to best meet the interests of this audience.D) It would be helpful to include multimedia that shows teens involved in related activities.E) It would be important to give an overview of how adults will benefit.Answers are B, C, D Easy 10 points for someone Steam Workshop Downloader