Graph this system of equations on the coordinate plane:
y=4/3x+4
3y=-2x-6

The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

Given that,

In the picture we can see the domain and range.

We have to find if the domain and range is function or not.

Each of the sets of domain values has precisely one range value, according to the mapping.

Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.

Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.

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The fraction of the surface of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-[tex]\frac{13}{27}[/tex]= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer

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The fraction of the surface area of the cube which is white is 14/27

Given 27 cubes of 1 centimetre are conjoined to form a large cube of 3x3x3

To maximise the value of the surface area, in this case, taken as white, other than the cube in the centre, the rest of the cubes must have their white surface area exposed.

• Total Number of cubes where white surface area is exposed is = 27 – 1 = 26

Although, on each surface of the 3x3x3 cube, there are 9 smaller cube surfaces, and there will be a total of 6 surfaces for the bigger cube.

•      Total number of cube surfaces exposed in blue = 9 * 6 = 54

• Therefore, the greatest fraction in blue= 26/54 = 13/27

Therefore the fraction of the surface of the cube is white is = 1-(13/27)

= 14/27

The fraction of the surface of the cube which is white is 14/27 is the answer.

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A double-blind placebo control group study is used to control for observer bias and eliminate testing effects. So option c is correct.

A double-blind placebo control group study is one in which subjects are randomly assigned to either a control group, who receive a placebo, or an experimental group, who receive the treatment being studied. The researcher is not aware of which subjects are in which group, and neither are the subjects. This design is used to control for observer bias and eliminate testing effects.

This type of study is important because it allows researchers to test the efficacy of a new treatment without the risk of bias. By eliminating the possibility that the researcher or the subjects will know who is receiving the treatment and who is receiving the placebo, any expectations or preconceptions about the treatment can be avoided. This type of study is also important because it helps to control for the placebo effect, which is the phenomenon whereby subjects in the control group may experience some benefits from the placebo itself.

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Answer:

Step-by-step explanation:

The number of fliers that he has not posted is 9

What is proportion?

Proportion can be defined as the mathematical comparison of two elements or numbers.

From the information given, we have that;

• Total number of fliers is 45

• First week, 1/3 of the floors were posted

• This week, 3/5 of the remaining were posted.

To determine the number of fliers remaining, we have that;

Remaining fliers for the First week

= 45 × 1/3

Multiply and find the quotient

= 15 fliers

Fliers remaining after the last week

= 15 × 3/5

Multiply and find the quotient

= 45/5

= 9 fliers

Thus, the number of fliers the he has not posted is 9

Answer:8r squared -16

Step-by-step explanation:

Answer:

105 degrees

Step-by-step explanation:

Find angle F:

the sum of angles of triangle =180

62+43+y=180

105+y=180

y=75

straight line = 180 degrees

75+x=180

x=105 degrees

The subtraction of the polynomials (1.3t³ + 0.4t² - 24t) and (0.6t² + 8t - 18) is given as follows:

1.3t³ - 0.2t² - 32t + 18.

Polynomials are subtracted subtracting the like terms, which are the terms that have the same symbolic variable and the same exponent.

For this problem, the subtraction is given by the expression presented as follows:

(1.3t³ + 0.4t² - 24t) - (0.6t² + 8t - 18).

The like terms of the expression are given as follows:

Hence the result of the subtraction of the polynomials is given as follows:

1.3t³ - 0.2t² - 32t + 18.

The problem asks for the subtraction of the polynomials (1.3t³ + 0.4t² - 24t) and (0.6t² + 8t - 18).

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The expression is x - a = 8.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Difference between two numbers is 8.

The lesser number is a.

let the another number be 'x'.

So, Difference between two numbers

x - a = 8

Hence, the expression is x - a = 8.

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According to the model, the value of -6(10b + 0.8) will be -60b - 4.8.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, this is illustrated as:.

= -6(10b + 0.8)

Open the parentheses

= -60b - 4.8

Therefore, the value is -60b - 4.8.

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The equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions.

A equation in mathematics is a mathematical statement depicting that the values of two mathematical expressions are equal. Some examples representing equations are -

y = 5x + 4

2x + 3y = 5x + 8π

cos(ny) = sin(πx)

Given is the following equation -

x - 4/5 - x + 1/6 = 1/3

We have -

x - 4/5 - x + 1/6 = 1/3

x - x - 4/5 + 1/6 = 1/3

- 4/5 + 1/6 = 1/3

Now, [x] will cancel out for ever possible value of [x], therefore, it will have infinitely many solutions

Therefore, the equation → x - 4/5 - x + 1/6 = 1/3 will have infinitely many solutions

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Answer:

1/23

Step-by-step explanation:

The commission earned by selling the merchandise worth $3000 is $270

The percentage of the commission earned by the salesman is 9%

The worth of the merchandise is $3000

A sales commission is typically an amount paid to an employee upon completion of a task for the sale of a specified quantity of goods or services.

Therefore, the commission earned can be found using the formula,

              Commission = SP x CP

where SP is the selling price and

          CP is the commission percentage.

Let us substitute the known values in the above equation, we get

              Commission = 3000 x 9%

                                    = 3000 x 9/100

                                    = 30 x 9

                                    = $270

Therefore, the commission earned is $270

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All the angles in a triangle add up to 180 degrees.

40 + x + (5x + 14) = 180

54 + 6x = 180

6x = 126

x = 21 degrees

Answer:

x=21

Step-by-step explanation:

a triangle adds up to 180 degree so to find x we will use the formula

(5x+14)+x+40=180

subtract 40 from each side so we have

(5x+14)+x=140

we have 2 terms with the same factor (x) so combine like terms

6x+14=140

subtract 14 from both sides

6x=126

divide both sides by 6

x=21

check your answer

5(21)+14

105+14=119

119+ 21+40=180

so x is equal to 21

The list of the members of the national education association is the Population.

Given, that a list of the members of the national education association is obtained and the questionnaire is mailed to 2500 teachers chosen at random from the list.

1347 teachers from those 2500 teachers return the questionnaire.

So, as we know that

A population is the group that you want to draw conclusions about.

Here, we want to know the opinions of American school teachers about establishing a national test.

So, The list of the members of the national education association is the Population.

Also, 1347 responses which we got is the sample.

Hence, The list of the members of the national education association is the Population.

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Answer:

a = 9 ; b = 26 ; c = 24

Step-by-step explanation:

(x^2+3x+2x+6)(x+4)

(x^2+5x+6)(x+4)

x^3+5x^2+6x+4x^2+20x+24

x^3+9x^2+26x+24

Normal distributions are frequently employed in the natural and social sciences to describe real-valued regressors with uncertain distributions, normal distributions are essential to statistics.

The central limit theorem is one reason they are significant.

This claim argues that, in some circumstances, the average of many samples (observations) of a random variable with finite variance and mean is itself a random variable, whose distribution tends to become normal with an increase in sample size.

Because of this, distributions of physical quantities that are meant to be the culmination of multiple separate processes, such as error margins, frequently resemble normal distributions.

Only the normal distribution has additional cumulants after the first two that are zero. It is also the continuous distribution with the highest level of entropy for a given mean and variance.

Assuming that the mean and variance are finite, Geary has shown that the normal distribution is the only distribution in which the mean and variance calculated from a collection of independent drawings are independent of one another.

The normal distribution is a form of elliptical distribution. The normal distribution is symmetric about its mean and non-zero over the whole real line.

Consequently, it could not be an appropriate model for variables that are inherently positive or highly skewed, such as a person's weight or the value of a share.

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If a coin is weighted so that the probability of heads is five times the probabily of tails, that means :

+) P(head) + P(tail) = 1
+) P(head) = 5P(tail)

Therefore, P(head) = 5/6 ; P(tail) = 1/6

For both head and tail to be flipped, the events must happen together.

Therefore, we have the probabilty that both head and tail is flipped = 5/6 x 1/6 = 5/36.

The solution to the algebraic equation 8x - 8 = 4x is x = 2

Algebra: This is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

8x - 8 = 4x

8x - 4x = 8

4x = 8

x = 8/4

x = 2

Check:

8x - 8 = 4x

substitute x = 2 into the equation

8(2) - 8 = 4(2)

16 - 8 = 8

8 = 8

Other examples of algebraic equation

3x + 5 = 11

substract 5 from both sides

3x = 11 - 5

3x = 6

divide both sides by 3

x = 6/3

x = 2

Therefore, the value of x from the equation is given by 2

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The value of the experimental probability of rolling a 6 is found as 1/5.

For the given question-

Thus, by the definition of the probability-

Probability (getting 6) = number of occurred outcomes/ Total outcomes

Probability (getting 6) = 18/90

Probability (getting 6) = 1/5

Thus, the value of the experimental probability of rolling a 6 is found as 1/5.

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Answer:

Use the formula to find distance

Answer: x = 25/6

Step-by-step explanation: yes

Answer: x=25/6

Step-by-step explanation:

combine multiplied terms into 1 fraction

5/2*+1/2x=9+7/2

5x/2+1/2x=9+7/2

combine

5x/2+1/2x=9+7/2

5x/2+1x/2=9+7/2

multiply by 1

5x/2+1x/2=9+7/2

5x/2+x/2=9+7/2

She needs to complete 20 laps for a total distance of 0.5 kilometer.

1 kilometers = 1000 meters

0.5 kilometers = 500 meters

Length of swimming pool = 25 meters

That means, she covers 25 meters in 1 lap.

Laps to cover 500 meters = 500/25

                                            = 20

Hence, she needs to do 20 laps.

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Answer:

1, 3, 7 (<5 is also congruent to <5, but this is not a choice.)

Step-by-step explanation:

The angles congruent to <5 are:

<1 by corresponding angles.

<3 by alternate interior angles.

<7 by vertical angles.

<5 by the theorem: congruence of angles is reflexive.

Answer:

Step-by-step explanation: watch the video

Answer:

x<3

Step-by-step explanation:

4x<5+7

4x < 12

4/4 x < 12/4

x < 3

f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given,

The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....

8.3, 10.4, 12.5, 14.6,...

The given sequence is a arithmetic sequence.

The first term is 8.3

The common difference is 2.1

The nth term of arithmetic sequence aₙ=a+(n-1)d

the nth term of this sequence=8.3+(n-1)2.1

f(n)=8.3+(n-1)2.1

Hence, f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.

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Answer:

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