. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?

The input that would give an output value of -1/3 is 19

A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values that completes the question is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the linear equation is given as

y = -1/3x + 7

From the complete question, the output value is given as:

y = 2/3

Substitute y = 2/3 in y = -1/3x + 7

2/3 = -1/3 * x + 7

Subtract 7 from both sides of the equation

-1/3 * x = 2/3 - 7

Take the LCM

-1/3 * x = (2 - 7 * 3)/3

Evaluate the product

-1/3 * x = (2 - 21)/3

Evaluate the difference

-1/3 * x = -19/3

Multiply both sides by -3

x = 19

Hence, the input that would give an output value of -1/3 is 19

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Answer:

answer is 19

Step-by-step explanation:

Answer:

c) 13

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13\)

Answer:

C) 13

Step-by-step explanation:

Using the formula: \(a^{2} +b^{2}=c^{2}\), we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: \(5^{2} + 12^{2} =c^{2}\) and you get 25 + 144 = \(c^{2}\) or 169 = \(c^{2}\). You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.

Step-by-step explanation:

Kindly make the question clearer for assistance

4/13 is the probability of drawing a club out of the deck of card if a card at random is selected from a 52-card deck.

There are 13 clubs and 4 jacks in a standard 52-card deck. However, we need to be careful not to double-count the jack of clubs, which is both a club and a jack.

So the number of cards that are either a club or a jack (excluding the jack of clubs) is:

13 (clubs) + 4 (jacks) - 1 (jack of clubs) = 16

Therefore, the probability of drawing a club or a jack (excluding the jack of clubs) is:

P(club or jack) = number of favorable outcomes / total number of outcomes

= 16 / 52

= 4 / 13

So the probability of drawing a club or a jack is 4/13.

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Answer:  5, 3, 1, 2, 6, 4

Step-by-step explanation:

The proof should be written as follows (which is a different order than provided):

  Statement                                               Reason                                        

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

6. AE = CE and BE = DE                         6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

6. AE = CE and BE = DE                         6. CPCTC

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

In this problem, we want to approximate when a penny will hit the grownd after it has been dropped from the back of the bleachers.

Since we have been given a table, we can make a close estimate based on the y-values.

When the penny hits the ground, the value of y will be 0.

Notice on the table provided that the penny is going to reach 0 between the values of 0.6 and 0.7 seconds.

At 0.6 seconds, it has a distance of 0.236 meters from the ground.

At 0.7 seconds, supposing the penny went past hitting the ground, it was have a distance of

Since the penny is closer to 0 at the 0.6 s mark than the 0.7 s mark, we can say 0.6 seconds is when the penny will hit the ground.

Here is a graphic model of the penny moving toward the ground:

Answer:

value of car depreciate each year = $2000

y + 2000x = 16,500

slope of line = -2000

No, not proportional

Step-by-step explanation:

Value of depreciation of an object is given by :-

Depreciation = \(\frac{ total Cost-scrap value}{estimated life}\)

according to question ;

total cost = $16500

scrap value = $500

estimated life = 8 years

therefore,

depreciation = \(\frac{16500 - 500}{8}\) = \(\frac{16000}{8}\) = $2000

now,

let the value of car after 'x' years be 'y'

therefore linear equation showing the relation of x and y is

y + 2000x = 16500

The graph of a linear equation is a line.

If c = 0 in a linear equation (so y = mx), then the equation is a proportional linear relationship between y and x.

If c ≠ 0, then y = mx + c is a non-proportional linear relationship between y and x.

here equation is of type,

y = mx +c, thus it is not linear.

also in the equation y = mx +c,

'm' is the slope of line

therefore by comparing the equation,

y +2000x = 16500

y = -2000x + 16500

slope is - 2000

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Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

\(H_{0}: \mu = 403\)

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

\(H_{a}: \mu \neq 403\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that \(\mu = 403\)

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that \(n = 10, X = 411, \sigma = \sqrt{121} = 11\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}\)

\(z = 2.3\)

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

45°

Step-by-step explanation:

Since,

3a + a + 2a + 2a = 360°

Only the first statement is false. The rest are true statements about the Central Limit Theorem.

The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.

It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.

The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.

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Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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Answer:

24 glasses

Step-by-step explanation:

We are given that

Estelle has juice=6 liters

She pours juice in one glass=0.25 L

We have to find the number of glasses of juice made by her.

Using unitary method

0.25 L juice pour in 1 glass

1 L juice pour in 1/0.25 glasses

6 liters  juice pour in glasses=\(\frac{1}{0.25}\times 6\)

6 liters  juice pour in 24 glasses

Hence, she will make 24 glasses of juice.

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Therefore , As a result, h = 2 is the answer to the equation in the given question.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra is the fundamental foundation of mathematics.

Here,

The formula is as follows: 6x + 18 = h(3x + 9)

To ensure that the expression has an unlimited number of answers, h's value must be determined.

Take the expression now and continue solving it.

=> 6x + 18 = h(3x + 9)

=>3hx + 9h= 6x +8

The expression will have an endless number of solutions if the coefficients of the left-hand side and the right-hand side are equal.

Therefore, 3h = 6 and h = 2

As a result, h = 2 is the answer to the equation in the given question.

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Answer:

This function is a cubic polynomial function, the parent function is f(x)=x^3

Step-by-step explanation:

To identify the type of function, the first step is to find the term with the highest exponent. In this case, 2x^3.

This makes it a cubic function because the highest degree term is cubed. And because there are multiple terms it is a polynomial function

The parent function is the function that is the base of the highest degree term. For example the parent function of 4x^5 would just be x^5. So there fore because the highest degree term is 2x^3 the parent function is x^3.

According to the calculations we can conclude that Rosa can play 21 more minutes on Monday.

If 9 minutes represents 30% of the time Rosa can play video games, we can use proportional reasoning to find the total time she can play. Let x be the total time she can play in minutes.

9 / x = 30 / 100

We might cross-multiply and simplify to find x's value:

9 * 100 = 30 * x

900 = 30x

x = 900 / 30

x = 30

So Rosa can play a total of 30 minutes each day.

To find how many more minutes she can play on Monday, we subtract the time she has already played from the total time:

30 - 9 = 21

Therefore, Rosa can play 21 more minutes on Monday.

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The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results.The result of the operation is the matrix AB = [9 6; 5 4].

Matrix multiplication is defined as the process of multiplying two matrices together to form a third matrix. The product of two matrices A and B is denoted as AB. To calculate the product, each entry in the resulting matrix is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. In other words, the entry in row i and column j of the product matrix AB is the sum of the products of elements in row i of matrix A and column j of matrix B.In the example given, the product of matrices A and B is AB. The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. For example, the first entry in the product matrix, AB, is calculated as (1*2 + 0*3 + 0*4) + (0*2 + 1*3 + 0*4) + (0*2 + 0*3 + 1*4) = 2 + 3 + 4 = 9. The remaining entries are calculated in the same way. The result of the operation is the matrix AB = [9 6; 5 4].

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Answer:

y = 19

Step-by-step explanation:

19-9=10

y = 19

No, it cannot equal one because if it did the answer would be -8. If you add 10 and 9 it is equal to 19, which means that y=19.

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

With 99% confidence we can say that the mean of the population is between 43.1 and 46.1

Step-by-step explanation:

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer: 0

Step-by-step explanation: if you gave 5 away your left with 5 if 3 were rotten your left with 2 but you ate 2 meaning you have no apples left.

Answer:

less then a month

Step-by-step explanation:

3.75% of 16800 is 6300 wich + 16800 = 23100

Answer:

less then a month

Step-by-step explanation:

3.75% of 16800 is 6300 wich + 16800 = 23100

Answer:

I) 1.1cm

II) 0.001m = 1mm

Step-by-step explanation:

I)

10mm = 1 cm

11mm = ?

? = (11 x 1)/10 =11/10 =1.1

II)

1000mm = 1m

Milli represents 10^-3 = 0.001

1 millimeter = 1 x 0.001 =0.001m