Does x=-5 represent a function

Question:

Solution:

Consider the following functions:

and

a) f(-3):

if we evaluate the function f at x = -3, we get:

so that, the correct answer is:

b) g(4):

if we evaluate the function g at x = 4, we get:

so that, the correct answer is:

c) f(3)*g(3):

Step 1: evaluate f at x = 3:

Step 2: evaluate g at x = 3:

Step 3: multiply f(3) and g(3):

so that, we can conclude that the correct answer is:

Answer: 21 quarters and 2 nickels.

Step-by-step explanation: $0.25(one quarter) x 21 = $5.25. $0.05(one nickel) x 2 = $0.10. $5.25 + $0.10= $5.35.

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Circumference of the wheel is :

\(\qquad \tt \dashrightarrow \:c = 2 \pi r\)

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

\(\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} \)

Now, equate both the equations ~

\(\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} \)

\(\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} \)

\(\qquad \tt \dashrightarrow \:2 \pi r = 5\)

\(\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} \)

\(\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} \)

\(\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} \)

\(\qquad \tt \dashrightarrow \:r \approx0.8 \: m\)

\(\qquad \tt \dashrightarrow \:r \approx80 \: cm\)

[ To the hundredth place : 0.796 m ]

Answer:

the answer for this is y=mx+b

Answer:

The table gives you three points that are on the line:

(-5, -7), (0, -5), (3, -3)

use any two of them to find the slope.

Answer:

x = 5

Step-by-step explanation:

To get the value of x we will use similar triangles as shown;

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

3x + 30 = 27x - 90

Collect like terms

3x - 27x = -90 - 30

-24x = -120

x = 120/24

x = 5

Hence the value of x is 5

The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.

The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.

It is also known by the name of neutral element.

In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,

a1=1a=a.

While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,

a+0=0+a=a.

There is no identity element for subtraction, and division only has an identity element for certain sets.

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The use of regression modeling in retail analytics can help businesses make data-driven decisions that ultimately lead to increased profits and growth.

Based on the information given, it seems that the large sports supplier is interested in predicting the annual revenue of a particular store based on various factors, such as population, promotion expenditure, and distance from the city center. This is a common approach in retail analytics, where regression models are often used to predict sales or revenue based on different variables.

By constructing a regression model, the sports supplier can gain valuable insights into which factors are most strongly associated with revenue, and how they can optimize their operations to increase sales. For example, they may find that stores located closer to the city center tend to have higher revenue, or that increased promotion expenditure leads to a greater increase in revenue in smaller towns.

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Step-by-step explanation:

\(hola \: ms \: cutie\)

\(here \: is \: your \: answer\)

it means that 60% of 80 of his classmates that are hip hop likers

solution

\(62\div 100 \times 80 \\ \)

=25.6

70% of his 60 relatives that are hip hop likers

=42

42- relatives, 25.6- classmates

so basically, the relatives are the ones that like hip hop more.

Answer:

5 hr

Step-by-step explanation:

tony worked for 6 hr on sunday so he got $30 and he will only need 5hr bc 5hr x $5 = 25 so in total 55

The number of hours on Saturday in which Tony did babysit will be given as 5 hours.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Tony gets paid $5 per hour to babysit his cousin.

This weekend, he babysat on both Saturday and Sunday.

He made a total of $55.

Tony babysat for 6 hours on Sunday.

Let the number of hours be x on Saturday.

Then we have the equation that will be

x × 5 + 6 × 5 = 55

       5x + 30 = 55

                5x = 25

                   x = 5

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All the attatchments include the directions below:

Prepare a two-way table as shown below.

Enter the number 50 in the two-way table

Prepare a column total and enter 68 for the total number of people who split the check.

The total number of people who do not eat desert are 56, and the total number of people who took the survey are 122. Enter both values.

The remaining values can be found out as shown below.

The two way table shows the characteristics of the given information,

having a sum which is the number of people surveyed.

The completed two-way table is presented as follows;

\(\begin{tabular}{l|c|c|}&Order desert & No desert\\Split the check&50&18\\One person pays&16&38\end{array}\right]\)

Reasons:

Number of people that responded to the survey, U = 122 people

Number of the respondents that ordered dessert and split the check, DS = 50

Number of respondent that prefer splitting the check, S = 68 people

Number that prefer to skip dessert, ND = 56 people

Therefore;

Number that split the check and no dessert, S/ND = S - DS

S/ND = 68 - 50 = 18

Number that do not split the check and no dessert, NS/ND = ND - S/ND

NS/ND = 56 - 18 = 38

Only one person pays, and orders desert, NS/D = The rest of the respondent not excluding the respondent sorted above

Therefore, NS/D = U - S - NS/ND

Which gives

NS/D = 122 - 68 - 38 = 16

The completed two-way table is therefore;

\(\begin{tabular}{l|c|c|}&Order desert & No desert\\Split the check&50&18\\One person pays&16&38\end{array}\right]\)

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Answer:

Explanation:

Here, we want to plot the graph of z1 plus z2

Firstly,let us identify the coordinates of z1 and z2

We can get this from the graph provided

z1 is (8,-4)

z2 is (-2,-3)

The sum of these two will be : (6,-7)

To plot this, we draw dotted vertical line at the point x = 6 and dotted horizontal line at the point y = -7

Wherever these two dotted lines meet is the point z

A number which is 15 more than twice a number is 37 is 11.

Let the number be N.

Let's set up the equation.

A number which is given to us is 15 more than twice a number 37,

2N + 15 = 37

Let's subtract 15 from both sides.

2N = 22

Divide both sides by 2, and you get

N = 11

So, the number which we needed is 11.

It is a type of mathematical notation that consistently expresses the numbers in a set using digits or other symbols. It provides each number with a unique representation and specifies the arithmetic and algebraic structure of the numbers. Additionally, we may use it to carry out mathematical operations like addition, subtraction, multiplication, and division.

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Answer:

i dont know

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

First, apply -2 in the equation.

It will then be 6 (-2) - 5 = ?

You have to multiply the 6 by the -2

It is -12

Then subtract the 5 from the equation

Then you get -17

Answer:

FM & MG = 21

Step-by-step explanation:

Given that M is the midpoint of FG, that means it splits it into 2 congruent lengths. Therefore if \(FM=8a+1\), then the other half has the same value. I can create a equation now because both of them should add up to 42

\(8a+1+8a+1=42\\16a+2=42\\16a=40\\a=\frac{40}{16}\\ a=\frac{5}{2}\)

Now that I have a, I can plug that in to \(8a+1\) to find both values. You should get that both of them are 21.

Hope that helps!

Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

The value that the linear equation predicts for the year 2001 is 4652.15

The discrepancy between the actual and anticipated value is 2173.85

Given data;

Here, we present the dataset from the United Nations, which contains information on the number of kilowatt-hours of wind energy generated globally. The data set provides statistics on the US for 25 years, from 1990 to 2014, in millions of kilowatt-hours.

The linear equation for the first 11 years of data, from 1990 to 2000, must be determined.

To determine how much the actual value and anticipated value for the year 2001 differ in Quantity, we must first forecast the value for the year 2001 using our fitted equation with y-intercept.

It will be written as y = m(x) + c.

where,

The dependent variable is y. (in our example is quantity)

The independent variable is x. (in our example is the year)

'm' is equal to the slope of the variable X.

'C' is a constant.

The fitted equation is provided as follows:

Quantity = 186.87 (year) - 369274.72

Now that the value for the year 2001 has been provided,

Quantity = -1868.87 -369274.72 

Quantity = 4652.15

The value that the linear equation predicts for the year 2001 is 4652.15.

The precise figure for 2001 is 6806.

For the year 2001, the discrepancy between the actual and anticipated values is

6806 - 4652.15 = 2173.85

The distinction is 2173.85.

(2173.85/6806)*100 is the percentage difference.

As a result, the difference between the actual value and the forecasted value for the year 2001 is 31.94%.

Hence,

The value that the linear equation predicts for the year 2001 is 4652.15

The discrepancy between the actual and anticipated value is 2173.85

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The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.

The following formula can be used to compute the Z score:

Where,

Putting the values,

From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%

From the z score table, we get

Where X is the raw score, M is the sample mean, and S is the standard deviation.

Putting the figures together,

We get the following from the z score table:

According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%

Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.

Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.

A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.

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A group of two or more inequalities in one or more variables is referred to as a system of inequalities. The system of inequalities graphed is y > x² - 4 and y < x² + 6.

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem demands a variety of solutions and those solutions must satisfy many constraints, systems of inequalities are used.

A system of inequalities is one where the total number of inequalities is greater than or equal to the number of variables.

A system of inequalities may have,

The equation of the vertical parabola with y-intercept -4 is equal to

y = x² - 4.

The solution of the inequality is the shaded area above the dashed line.

The inequality must be y > x² - 4

2) The equation of the vertical parabola with y-intercept 6 is equal to y = x² + 6.

The solution of the inequality exists the shaded area below the dashed line. The inequality must be y < x² + 6

The system of inequalities graphed is

y > x² - 4

y < x² + 6

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The angle included by these two sides is (c^2 - 74) / (-70).

What is triangle ?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

The area of a triangle can be found using the formula:

Area = (1/2) * b * h,

where b is the length of the base and h is the height of the triangle.

Since two of the sides have lengths 5 in and 7 in, we can assume that they are the base and the height of the triangle, respectively. Setting b = 5 in and h = 7 in, we can find the area:

Area = (1/2) * 5 in * 7 in = (1/2) * 35 in^2 = 16 in^2.

This means that the height of the triangle is 7 in and the base is 5 in. To find the angle included by these two sides, we can use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab * cos(C),

where a and b are the lengths of the sides and C is the angle included by these two sides.

Since a = 5 in and b = 7 in, we can find the angle C:

c^2 = a^2 + b^2 - 2ab * cos(C)

c^2 = 5^2 + 7^2 - 2 * 5 * 7 * cos(C)

c^2 = 25 + 49 - 70 * cos(C)

c^2 = 74 - 70 * cos(C)

So , The angle included by these two sides is (c^2 - 74) / (-70).

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Answer: 4/3

Step-by-step explanation: To determine the slope, let's use the two points.

The slope or m is equal to the rise over run from one point to the next.

So let's start off with the lower point on the coordinate system.

To get from the lower point to the higher point,

we rise 4 units and run 3 units so our slope or rise/run is 4/3.

Answer:

Already in decimal form.

Step-by-step explanation:

5.125 = 5.125

lim sin(pi/3+h) - sin(pi/3)/ h as h approaches 0 is  Non existent. The correct answer is option e.

To evaluate the limit, we can use the formula for the derivative of sin(x), which is:

lim f(x+h) - f(x) / h as h approaches 0 = f'(x)

where f(x) = sin(x).

So, in this case, we have:

lim sin(pi/3+h) - sin(pi/3) / h as h approaches 0

which can be rewritten as:

lim [sin(pi/3+h) - sin(pi/3)] / h as h approaches 0

Using the identity for the difference of two sines, we can simplify this expression to:

lim [2cos(2pi/6+h/2)sin(h/2)] / h as h approaches 0

Now, we can cancel out the factor of sin(h/2) in the numerator and denominator, and we are left with:

lim 2cos(2pi/6+h/2) / h as h approaches 0

We can evaluate the limit using direct substitution, and we get:

2cos(pi/3) / 0

Since the denominator is 0, the limit does not exist. Therefore, the answer is option E: Nonexistent.

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Adjusted data:

a. Decrease Office Supplies, Increase Office Supplies Expense by $1,800.

b. Decrease Depreciation Expense, Increase Accumulated Depreciation by $200.

c. Decrease Prepaid Insurance, Increase Insurance Expenses by one month's value.

d. Increase Interest Expense, Increase Accrued Interest Payable by $75.

We have,

Based on the adjusted data provided:

a. The office supplies used during the month would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Office Supplies account and increase the Office Supplies Expense account by $1,800.

b. Depreciation for the month would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Depreciation Expense account and increase the Accumulated Depreciation account by $200.

c. The expiration of one month of insurance would result in a decrease in assets and an increase in expenses.

This adjustment would decrease the Prepaid Insurance account and increase the Insurance Expense account by the value of one month's insurance.

d. Accrued interest expense would result in an increase in expenses and a corresponding increase in liabilities.

This adjustment would increase the Interest Expense account and also increase the Accrued Interest Payable liability account by $75.

Thus,

Adjusted data:

a. Decrease Office Supplies, Increase Office Supplies Expense by $1,800.

b. Decrease Depreciation Expense, Increase Accumulated Depreciation by $200.

c. Decrease Prepaid Insurance, Increase Insurance Expenses by one month's value.

d. Increase Interest Expense, Increase Accrued Interest Payable by $75.

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To construct a table of values for the equation \( x=y+2 \) for integral values of \( y \) from -2 to +6, we can substitute each value of \( y \) into the equation and solve for \( x \).

Here is the completed table of values:

\[
\begin{array}{|c|c|}
\hline
\text{Value of } y & \text{Value of } x \\
\hline
-2 & -2+2=-0 \\
-1 & -1+2=1 \\
0 & 0+2=2 \\
1 & 1+2=3 \\
2 & 2+2=4 \\
3 & 3+2=5 \\
4 & 4+2=6 \\
5 & 5+2=7 \\
6 & 6+2=8 \\
\hline
\end{array}
\]

we substituted the values of \( y \) from -2 to +6 into the equation \( x=y+2 \) and obtained the corresponding values of \( x \) to complete the table. This shows the relationship between \( x \) and \( y \) for the given equation.

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Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \(\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b\)

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\(\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b\)

Since,

\((a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2\)

So,

\(\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b\)

or

\(4+0=a+\sqrt 3 b\)

On comparing we get :

a = 4 and b = 0

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer: 9 centimeters

Step-by-step explanation:

Add up all the sides, 6 + 10 + 11 = 27,

Since it’s the perimeter of an equilateral triangle, you do

27 / 3 = 9, which is the answer.

Answer:

9

Step-by-step explanation: