What graph is best for comparing two variables?

Answers

Answer 1

A scatter plot is the best graph for comparing two variables.

A scatter plot is a graph that uses dots to represent individual observations of two variables. It is a powerful tool for comparing two variables because it allows us to see the relationship between the two variables and how they are distributed. It also helps to identify any patterns or trends in the data, such as a positive correlation, a negative correlation, or no correlation at all.

Additionally, scatter plots allow us to see outliers, which are data points that are far away from the majority of the data points. This makes it easy to identify any extreme values that may be skewing the data and affecting the overall pattern of the graph. Overall, scatter plots are useful for identifying patterns, trends, and outliers in data sets, making it the best choice for comparing two variables.

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Related Questions

Simplify the following using law of indices. a) 12x⁷ ÷ 4x³
b) (2x)² × (2x)³ × (2x)⁵

Answers

Answer:

a) 3[tex]x^{4}[/tex]

b) 1024[tex]x^{10}[/tex]

Step-by-step explanation:

[tex]\frac{12x^{7} }{4x^{3} }[/tex]

[tex]\frac{3(4)xxxxxxx}{4xxx}[/tex]  We can cancel out a 4 and 3 x's.  That leaves

3xxxx

or 3[tex]x^{4}[/tex]

[tex](2x)^{2}[/tex] x [tex](2x)^{3}[/tex] x [tex](2x)^{5}[/tex]  can be written in expanded form

[(2)(2)xx] x [(2)(2)(2)xxx] x [(2)(2)(2)(2)(2)xxxxx]

(2)(2)(2)(2)(2)(2)(2)(2)(2)(2)xxxxxxxxxx

1024[tex]x^{10}[/tex]

Choose the equation that represents the line passing through the point (-3,-1) with a slope of 4.
y=4x-11
y = 4x + 11
y = 4x + 7
y=4x-7

Answers

On solving the provided question, we can say that - in the linear equation here the value will be

What is a linear equation?

The algebraic equation y=mx+b is known as a linear  equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

y = 4x + 11

x = 8

y = 32 + 11

y = 43

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felix wants to make a graphic design as a decoration for a new website. His initial idea for the design involves using the shapes of three parabola is graphed on a coordinate plane, as shown.

Answers

Transformation for A to B : Shift 2 unit horizontally.

Transformation for A to C : Shift 1 unit horizontally, 1 unit vertically.

Equation of Parabola A : y = - (x - 1)² + 1

Equation of Parabola B : y = - (x - 3)² + 1

Equation of Parabola C : y = - (x - 2)² + 2

What is parabola?

Section of a right circular cone by a plane parallel to a generator of the cone is a parabola. It is a locus of a point, which moves so that distance from a fixed point (focus) is equal to the distance from a fixed line (directrix)

Fixed point is called focus.

Fixed line is called directrix.

Equation of the parabola having vertex (h, k).

y = a(x - h)² + k

Equation of Parabola A with vertex (1,1)

y = a(x - 1)² + 1

parabola A has point (0, 0) on it

0 = a (0 - 1)² + 1

a = -1

Equation of the parabola A

y = - (x - 1)² + 1

Shifting parabola A, 2 unit horizontally, we get parabola B

Equation of the parabola B

y = - (x - 3)² + 1

Shifting Parabola A, 1 unit horizontally and 1 unit vertically, we get parabola C

Equation of the parabola C

y = - (x - 2)² + 2

Hence, shifting 1 unit horizontally and 1 unit vertically in Parabola A we get parabola C and shifting 2 unit horizontally we get parabola B,

y = - (x - 1)² + 1 is equation of Parabola A.

y = - (x - 3)² + 1 is equation of Parabola B.

y = - (x - 2)² + 2 is equation of Parabola C.

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How do I solve e less than 5?

Answers

Answer:

e-5

Pretty simple

Which statement best describes a line graph?

A. It shows a line that connects a series of data
points.

B. It shows a line passing through scattered data points.

C. It shows data as proportions of a whole.

D. It shows the locations of errors in data.

Answers

Answer:

A

Explanation:

A line graph is a unique type of graph which is used in statistical application which represents the change in a quantity with respect to another quantity.

The price of different flavors of chocolates varies which can be represented, these variation is plotted in a two-dimensional XY plane.

If the relation include two measures can be presented by using a straight line in a graph called as linear graphs or a linear graph.

There are different types of the line graph, Simple Line Graph refers to Only one line is plotted on the graph, Multiple Line Graph where More than one line plotted on the same set of axes.

Compound Line Graph refers to the information can be divided into two or more types of data and this line graph is called a compound line graph which can be drawn to show the component.

Darnel uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he make with 1 pint of lemon juice?

Answers

Answer:

16 ounces = 1 pint, 8 times 2 = 16

Step-by-step explanation:

Answer in explanation:

1 pint is 16 ounces so he could make 2 batches of lemonade with 1 pint of lemon juice.

(8 x 2 = 16

your answer is 2

Hope this helps!

make a the subject 11a = 7b

Answers

Answer:

a=7b/11

Step-by-step explanation:

11a=7b

11a/11=7b/11

a=7b/11

Answer: 11a=7b

-divide 11 from both sides

you'll end up with this result:

a=7b/11

On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.

Answers

The mean is lower than the mode which is lower than the median.

What is skewed?

A skewed curve is a type of statistical distribution in which the data is unevenly distributed. It is often referred to as an asymmetric distribution, meaning that the two halves of the curve look different. Skewed curves can be either positively or negatively skewed, depending on which direction the data points are shifted. Positively skewed curves tend to have a long tail to the right, while negatively skewed curves have a long tail to the left. This type of distribution is commonly seen in real-world data, such as income or wealth distributions.

A negatively skewed curve is characterized by a tail on the negative side of the graph. This means that the data points have a higher probability of being lower than the mean. As such, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic average of all of the data points, the mode is the most frequent value, and the median is the midpoint of the data points.

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To serve 1 person at a restaurant it takes 10 minutes. To serve 5 people at a restaurant it takes 18 minutes. How many minutes will it take to serve 8 people

Answers

the answer should be 28 minutes

The price of a computer is reduced by 17.5%

The reduced is £264

By how much is the price reduced

Answers

Answer:

To find out by how much the price was reduced, we can use the following equation:

price reduction = original price * reduction percentage

We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:

price reduction = £264 / 17.5%

To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:

price reduction = £264 / (17.5 / 100)

This simplifies to:

price reduction = £264 / 0.175

Solving this equation gives us a price reduction of £1512.

So, the original price was reduced by £1512.

Step-by-step explanation:

The original price is 1512

The equations represent the​ heights, y, of the​ flowers, in​ inches, after x days. Which ordered​ pair (1,2.2)(1 ​,2.5) or (0 ,1) is a solution to the​ system? Will the flowers ever be the same​ height? Explain. The 2 equations are y= 1.5x+1 and y= 1.2x+1

Answers

Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same​ height at x = 0. And (0,1) is the solution to the system of equation

How to Know Solution to a System of Equation

To know the solution of a system of equation, the two equation can be solved simultaneously.

Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1

Equate the two equations to get x

1.5x + 1 = 1.2x + 1

collect the like terms

1.5x - 1.2x = 1 - 1

0.3x = 0

x = 0

Substitute x in any of the equation.

y = 1.5(0) + 1

y = 1

Yes! The flower will be of the same height at x = 0.

Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.

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Which statements are correct when translating this phrase into a variable expression?
The product of 8 and y decreased by 10

A 8y + 10

B Product means to multiply

C 8y-10

D product means to multiply

E y/x - 10​

Answers

Therefore , the solution of the given problem of algebra comes out to be

Product means to multiply and decreased means to subtract so option C only seems valid

Define Equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Define Algebraic expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

Product means to multiply and decreased means to subtract so option C only seems valid

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Type the correct answer in each box. Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27. The mean of her sales over the week is , and the median is . Reset Next

Answers

The mean of her sales over the week is 29 and the median is 27.

What is mean?

The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.

Here,

To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as

mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7

⇒mean = 29.

To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So

23 - 25 - 25 - 27 - 32 - 35 - 36

⇒median = 27.

Summarizing, the mean of the sales is 29 and the median 27.

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Solve the word problem using the RDW strategy. Show all of your work in your journal. Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60. If she paid for her meal with a $10 bill, how much money did she have left? Select the answer as a fraction and in dollars and cents. *

Answers

The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.

RDW strategy:

1. READ and reread the problem first

2. DRAW an image to illustrate the information. Ask your self Can I infer anything from this information during this step? What could I doodle? Which model will best convey the information? What inferences may I draw from the illustration?

3. WRITE the drawings as a basis for your conclusions. This can be expressed as a mathematical expression, an equation, or a statement.

Given that

Cheryl bought a sandwich for 5 1/2 dollars and a drink for $2. 60  

Here 5 1/2 = 11/2 = 5.5 dollars

Then the total cost of the sandwich and drink = $ 5.5 + $ 2.60 = $ 8.1  

Given that Cheryl gave $ 10

The amount that Cheryl left with = $ 10 - $ 8.1 = $ 1.9

Here is $ 1.9 = 1 dollar and 90 cents

Therefore,

The amount that Cheryl left with is $ 1.9 or 1 dollar and 90 cents.

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Mary reached chool at 7:30 AM, and left for home at 12:45 PM. How long he tayed in the chool
Anwer with explanation

Answers

Answer:

5 hours and 15 minutes.

Step-by-step explanation:

7:30 - 8:00 is 30 minutes

8:00 - 12:00 is 4 hours

12:00 - 12:45 is 45 minutes

30 minutes plus 45 minutes is 1 hours and 15 minutes

4hours + 1 hour and 15 minutes is

5 hours and 15 minutes

or

5 1/4 hours

or

315 minutes.

I am not sure what form you want.

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer:

x-5 that is the answer na

ANSWER: X= 8
7(x-3)= 35
Distribute 7 into (x-3)
7x-21= 35
Add 21 on both sides to cancel
7x=56
56/7
X= 8

Based on the number of claims filed, a homeowners insurance company periodically reevaluates its premiums. It will either increase or decrease its premiums for all customers. Which measure provides the best information for its reevaluation?

Answers

The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is  A. claims per dollar value of property.

What influences a reevaluation of premiums ?

Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:

Changes in risk: Insurance companies regularly assess the risk associated with insuring a home, and if a home's risk profile changes, the premium may be adjusted. For example, if a home is located in an area that is prone to natural disasters such as floods or wildfires, the premium may be higher than for a home located in a safer area.

Changes in the home: Homeowners insurance companies may reevaluate premiums if the homeowner makes changes to the home that increase its value or make it safer. For example, if the homeowner installs a new roof or a security system, the premium may be lowered as a result.

Changes in claim history: Insurance companies may also reevaluate premiums if the homeowner makes a lot of claims or if the value of claims is higher than expected. This could lead to premium increase as the company has to cover that additional cost.

This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.

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Options for this question include:

A. claims per dollar value of property

B. claims per year per city

C. claims per year

D. claims per sub-division

A tore i having a ale on almond and jelly bean. For 5 pound of almond and 2 pound of jelly bean, the total cot i $12. For 3 pound of almond and 8 pound of jelly bean, the total cot i $31. Find the cot for each pound of almond and each pound of jelly bean

Answers

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds

What is the elimination method?

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

Here,

We let a be the almond and b be the jelly bean.

5a + 2b = $12....(1)

3a + 8b = $31....(2)

...Solving by elimination method.

5a = 12 - 2b

a = (12 - 2b)/5

Now, we put the value of a in equation(2)

3a + 8b = $31

3(12 - 2b)/5 + 8b = 31

(36 - 6b)/5 + 8b = 31

36 - 6b + 40b = 155

34b = 155 - 36

34b = 119

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds.

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The population of HaleyValley, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0. 6% per year since 2000. What will be the projected population of HaleyValley in 2020?

Answers

The projected Population in 2020 is given by 4146.

What is compounding ?

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.

Number of years to compound is 10 years from 2010 to 2020.

The population deplition is 0.6 % = next year population is 99.4% of present.

So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146

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Benjamin invested $66,000 in an account paying an interest rate of 63%
compounded annually. Christian invested $66,000 in an account paying an interest
rate of 5% compounded continuously. After 19 years, how much more money would
Benjamin have in his account than Christian, to the nearest dollar?

Answers

Answer:

  $16,755

Step-by-step explanation:

You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.

Interest formulas

The formula for the account value multiplier when interest is compounded annually is ...

  k = (1 +r)^t . . . . . . compounded annually at rate r for t years

When interest is compounded continuously, the multiplier is ...

  k = e^(rt)

Application

The difference in account values between the two rates is ...

  ∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))

  ∆value ≈ $16,754.70

Benjamin will have about $16,755 more than Christian after 19 years.

What is the velocity of the object from t=0 to t=3.0s?

Answers

0 is the  velocity of the object from t=0 to t=3.0s

What is Speed?

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .

The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.

The change in velocity from t = 0 to t = 3.0 s is

(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s

Hence,  the velocity of the object from t=0 to t=3.0s is 0.

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Four more then the quotient of 12 and a number x

Answers

4+(12/x)

Use to convert the expression into a fraction

Expand the fraction to get the least common denominator

Use the commutative property to reorder the terms

Any expression multiplied by remains the same solution= 4x+12/x

Give 2 numercial expressions that can be compared without calculating the values. Explain.

Answers

The numercial expressions that can be compared without calculating the values include:

3x^2 + 4x - 5 > 2x^2 + x - 3

2/x < 4/x

How to illustrate the expression

In 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.

For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.

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What is a 3 variable equation called?

Answers

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

what is linear equation ?

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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List the key features of the quadratic function y = -x^(2) + 4x - 3

A) x-intercepts: (1,0) and (3,0), y-intercept: (0,3), vertex: (2,–1)

B) x-intercepts: (–1,0) and (–3,0), y-intercept: (0,–3), vertex: (2,–1)

C) x-intercepts: (1,0) and (3,0), y-intercept: (0,–3), vertex: (–1,2)

D) x-intercepts: (1,0) and (3,0), y-intercept: (0,–3), vertex: (2,1)

Answers

The key features of the quadratic function y = -x² + 4x - 3 include the following: D) x-intercepts: (1, 0) and (3, 0), y-intercept: (0, –3), vertex: (2, 1).

What is y-intercept?

In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).

When x = 0, the y-intercept is given by;

y = -x² + 4x - 3

y = -0² + 4(0) - 3

y = -3

Therefore, the y-intercept of this quadratic function y = -x² + 4x - 3 is given by the ordered pair (0, -3).

What is the x-intercept?

In Mathematics, the x-intercept can be defined as the point at which the graph of a quadratic function crosses the x-coordinate and the value of "y" is equal to zero (0).

By critically observing the graph of this quadratic function y = -x² + 4x - 3, the x-intercept include the following:

Ordered pair = (1, 0).Ordered pair = (3, 0).

In conclusion, the vertex of this quadratic function y = -x² + 4x - 3 is (2, 1).

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Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. how much money did Priya raise? Help please its due tomorrow!!!

Answers

There are 100 pennies in 1 dollar, so Priya collected 2400/2.5=<<2400/2.5=960>>960 pennies.

This means Priya raised 960/100=$<<960/100=9.60>>9.60. Answer: \boxed{9.60}

combine like terms:


Answers

Like terms for the given data are: 17x² and 3x²; -3xy and -2xy. Combining the like terms we get: 20x² and -5xy

What is like terms?

In algebra, the term "equal terms" refers to words with the same variable to the same power.

Similar variables and powers are called similar words in algebra. Matching coefficients is not required. When two or more words do not share the same variable or power, they are called inequal terms. The order of both variables is irrelevant unless there is a power. All of these have the same terminology.

17x² and 3x²

-3xy and -2xy

Combine the same terms obtained.

17x² + 3x² = 20x²

-3xy + (-2xy)

= -3xy -2xy

= -5xy

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In a rhombus MNLP, diagonals intersect each other at point O. If measure of angle MNL is 120 degrees, and the length of the side is 8 inches, find NP

Answers

Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.

A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].

Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,

[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]

The required answer is 8 inches.

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A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?

Answers

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

x is the sales tax percentage. hence, we have to solve for x.

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

[tex]$78.84 = \frac{73x}{100} + 73[/tex]

[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73

[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100

[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

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What is the domain of the function f/x )= √ 4 X²?

Answers

The domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

Now, According to the question:

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

Y = 4x²

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

Set-Builder Notation:  {x | x ∈ R}

The range is the set of all valid y values: [0, ∞)

Set-Builder Notation: {y | y ≥ 0}

Hence, the domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

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The complete question is this:

What is the domain of the function Y = 4x²

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