solve the equation 4(2x+1)=3(x-1)+7​

Answer: 3, 4, 6

Step-by-step explanation: just did it on edge

Answer:

Look below

Step-by-step explanation:

Part A.

Martina is correct. This is because all even numbers have 2 as a factor.

We can use 2 to find the other factor. Let's use x to represent the other factor. We can set up an equation:

2x=62

Divide both sides by 2

x=31

The missing factor is 31

Part B.

Lucas is wrong. This is because a number cannot be both prime and composite.

A prime numbers' only factors are 1 and itself

A composite number has more than 2 factors.

If 15 was both prime and composite, Lucas is contradicting himself because having 2 factors and more than 2 factors at the same time is not possible.

We can also prove him wrong because...

15: 1, 3, 5, 15

Has more than 2 factors (it has 4 factors) therefore it is composite.

Martina is correct because all even numbers have 2 as a factor.

Lucas is incorrect because a number cannot be both prime and composite.

A number with exactly two factors, "1" and the number itself, is referred to as a prime number.

A composite number can be divided by at least one positive integer in addition to being divisible by 1 and the number itself because it has more than two factors.

Given:

We know for even number 2 is most common factor.

Let x represent the other factor.

2x=62

x=31

So, The missing factor is 31

Now,

Lucas is incorrect . This is because a number cannot be both prime and composite.

A prime numbers only factors are 1 and itself and composite number has more than 2 factors.

Lucas would be in contradiction with himself if he claimed that 15 was both prime and composite, as it is impossible to have both two factors and more than two factors simultaneously.

Learn more about Prime and composite Number here:

https://brainly.com/question/28576750

#SPJ2

The translation transformation of the parent function in the graph, indicates that the equation for each of the specified graphs, using the form y = f(x - h) + k, are;

a. y = f(x) + 3

b. y = f(x - 3)

c. y = f(x - 1) + 2

A transformation of a function is a function that takes a specified function or graph and modifies them into another function or graph.

The points on the graph of the specified function f(x) in the diagram are; (0, 0), (1.5, 1), (-1.5, -1)

The graph is the graph of a periodic function, with an amplitude of (1 - (-1))/2 = 1, and a period of about 4.5

Therefore, we get;

a. The graph in part a consists of the parent function shifted up three units. The transformation that can be represented by the vertical shift of a function f(x) is; f(x) + a or f(x) - a

Therefore, the translation of the graph of the parent function is; f(x) + 3

b. The graph of the parent function in the graph in part b is shifted to the right two units, and the vertical translation is zero units, down or up.

The translation of the graph of a function by h units to the right or left can be indicated by an subtraction or addition of h units to the value of the input variable, therefore, the translation of the function in the graph of b is; y = f(x - 3) + 0 = f(x - 3)

c. The translation of the graph in part c are;

A vertical translation 2 units upwards

A horizontal translation 1 unit to the right

The equation representing the graph in part c is therefore; y = f(x - 1) + 2

Lear more on the transformation of functions here: https://brainly.com/question/29185109

#SPJ1

Answer:

an = -6n + 5.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -1 and common difference d = -6

an = a1 + d(n-1)

an = -1 + -6(n - 1)

an = -1 -6n + 6

an = -6n + 5.

The ordered pair of the values of f(x) and g(x) of (4, 3) and (4, 3) indicates that the input value that produces the same output value for f(x) and g(x) functions is x = 3

The input values of a function are the values that serve as the argument of the function. They are also known as the independent variable. The operations of a function are performed on the input values such that each input produces only one output, which is known as the dependent variable. The set of the input values is known as the domain of the function.

The output value of a function are the values of the function that gives the image of the input values, and they are known as the dependent variable. The set of the output values is the range of the function.

The points on the graph are;

Therefore, from the graph, at the point x = 3, f(x) = g(x) = 4

The input value that produces the same output value for the two functions on the graph is the x-value of 3

Learn more about the input and output values of a function here:

https://brainly.com/question/1641238

#SPJ1

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

For more such questions on Logarithm:

https://brainly.com/question/31117877

#SPJ8

Answer: All real numbers

Step-by-step explanation:

Edge

As the test's p-value above the 0.05 level of significance, we cannot reject the hypothesis.

X=97.77 is the mean on the PDI.

a )

The population standard deviation of the PDI:S = 14-69

The PDI sample size is n=70.

The test statistic value is

=X -μ/б-√n

97.77 - 100/14.69√70

Z = - 1.27

The test's p-value is 1.

Value of p = 2p (z - 1.27).

=2 ( = NORMSDIST (-1.27) )

= - 2 (0.1020 )

p-value = 0.2041

Since , the p -value of the test is greater the the 0.05 level of significance, so we fail to reject hypothesis

Learn more about P-value here:

brainly.com/question/14790912

#SPJ4

Answer:

three (3).

Step-by-step explanation:

H=O+A

c^2=5^2+12^2

c^2=25+144

c^2=169

c=√169

c=13

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

Let's calculate the value of c using Pythagoras theorem ~

\(\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} \)

\(\qquad \sf  \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} \)

\(\qquad \sf  \dashrightarrow \: c = \sqrt{25 + 144} \)

\(\qquad \sf  \dashrightarrow \: c = \sqrt{169} \)

\(\qquad \sf  \dashrightarrow \: c = 13 \: units\)

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

Since 4 bags cost $8, divide $8 by 4 bags and you get $2 for 1 bag.

Answer:

1) 110 *Degrees

2)52 * Degrees

Step-by-step explanation:

1) 180 - 40 -30 = 110

2) 90  - 38 = 52

The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.

1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Learn more about nominal here:

https://brainly.com/question/14569061

#SPJ11

The time series component which reflects gradual shifts or movements to relatively higher or lower values over a longer period of time is a trend pattern. (Option D)

A time series refers to a collection of observations of well-defined data items obtained through repeated measurements over time. Generally, a time series is a sequence taken at successive equally spaced points in time and thus it is a sequence of discrete-time data. An observed time series comprises of three components: the trend (long term direction), the seasonal (systematic, calendar related movements) and the irregular (unsystematic, short term fluctuations). A trend pattern occurs when there is a long-term increase or decrease in the series. It is the gradual shifts or movements to higher or lower values over a period.

Note: The question is incomplete as it is missing options which are A) seasonal pattern. B) cyclical pattern. C) trend and seasonal pattern. D) trend pattern.

Learn more about Time series:

https://brainly.com/question/20344588

#SPJ4

The distance travelled by Charlotte in feet is 354 feet. This is obtained by using the concept of speed and distance on the given problem.

What is speed?

Speed is defined as the distance per unit of time. It is the numerical quantity that specifies how fast an object is moving. The basic unit of speed is given by m / s.

Calculation of the distance travelled by Charlotte in feet

Given:

Speed = 61.4 mi / h

Time = 3.93 s

The basic step to solve this problem is to convert miles per hour to feet per second

(61.4 mi / hr) * (5280 feet / mi) * (1 hr / 3600 sec) = 90.0533 feet / sec

Now, multiply the speed by the number of seconds to find the value of distance in feet

(90.0533 feet / sec) * (3.93 sec) = 353.909 feet.    

Hence, the distance travelled by Charlotte in feet is 354 feet.

To learn more about speed, visit the link below:

https://brainly.com/question/13943409

#SPJ4

Step-by-step explanation:

First, substitute the variable with the number given.. And that's it! You'll get the answer!

Hope this is correct and helpful

HAVE A GOOD DAY!

Since the sides are not all congruent, we can conclude that WXYZ is not a square.Therefore, WXYZ is a rectangle, but not a rhombus or a square.

Four sides and four vertices make up a quadrilateral, which is a polygon. The Latin words quadri, which means "four," and latus, which means "side," combine to form the English word quadrilateral.

Examples of quadrilaterals include rectangles, squares, rhombuses, trapezoids, and kites.

Here's a diagram of parallelogram WXYZ:

         Y (4, 4)

          /\

         /  \

        /    \

       /      \

 W (-5,-3)---X (-3,2)  Z (2,-1)

(a) To find the slope of XY, we can use the slope formula:

slope = (change in y)÷(change in x)

slope of XY = (4 - 4) / (4 - (-3)) = 0 / 7 = 0

To find the slope of a side adjacent to XY, we can look at either WX or YZ.

slope of WX = (2 - (-5)) / (-1 - (-3)) = 7 / 2

(b) To find the length of XY, we can use the distance formula:

distance =\(\sqrt{ (x2 - x1)² + (y2 - y1)²}\)

length of XY = √((4 - 4)² + (4 - 2)²) = √(2)

length of WX = √((-3 - (-5))² + (2 - (-3))²) = √(29)

slope of WZ = (-1 - (-3)) / (2 - (-5)) = 2/7

slope of YX = (4 - 2) / (4 - (-3)) = 2/7

we need to check if all four sides of WXYZ are congruent.

length of WX =√(29)

length of XY = √(2)

length of YZ = √(29)

length of ZW = √(2)

Since the sides are not all congruent, we can conclude that WXYZ is not a rhombus.

To know more about slope visit:

https://brainly.com/question/19131126

#SPJ1

Example of function equation is

f ( x ) − f ( y ) = x − y f(x)-f(y)=x-y f(x)−f(y)=x−y

Example of non Function equation is

y=±√x and x2+y2=9

RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

According to the scientists, RNA is considered the best candidate for the first life-form due to the fact that RNA is capable of self-replication and catalysis. This is possible because RNA can act both as a template to produce copies of itself and also as an enzyme to accelerate chemical reactions. These abilities suggest that RNA could have played a role in the emergence of the first living organisms on Earth.

An RNA molecule has the ability to catalyze reactions, which means that it can speed up chemical reactions without itself being altered. Thus, it is capable of serving as an enzyme. Scientists believe that the first life-form must have been capable of self-replication and catalysis, and RNA is capable of both functions.

This capability is significant because it is fundamental for the origin of life. Hence, RNA is believed to have played a significant role in the emergence of the first living organisms on Earth.

To conclude, RNA's capability to self-replicate and catalyze chemical reactions make it the best candidate for the first life-form.

To know more about capability visit

https://brainly.com/question/24824031

#SPJ11

RNA is considered the best candidate for the first life-form by scientists because RNA is capable of self-replication and catalysis.

The correct option is the first one due to following reasons:

As a result, scientists believe that RNA may have played a crucial role in the origins of life on Earth.

To know more about enzymes, visit:

https://brainly.com/question/14577353

#SPJ11

The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

To learn more about Structure compound:

https://brainly.com/question/28020457

#SPJ4

Answer:

2 and 5 hundredths

Step-by-step explanation:

3 - 1 = 2

14 hundredths - 9 hundredths = 5 hundredths

hence you get 2 and 5 hundredths

(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

Learn more about variable here:

https://brainly.com/question/31827960

#SPJ4

Answer:

\( \frac{1}{ {6}^{8} } \)

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4

The y-intercept of an equation is the pint where the x-value of the function is 0, that is;

f(-4) = 0

Since the solution has one solution, hence it will be linear in nature

h(x) = x + 4

This gives the required negative function h(x) with a y-intercept at "-4" with one solution

Learn more on function here: https://brainly.com/question/10439235

#SPJ1

Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer:

Step-by-step explanation:

from the figure we understand that it is an isosceles triangle, the angles at the base are the same, so they are two angles of 72 °

find y

180 - 72 - 72 = 36

Answer:

x = 72.

y = 36.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

To know more about Horizontal line test, visit:

https://brainly.com/question/28208081

#SPJ4

Answer:

m=8

Step-by-step explanation:

for ever hour the babysitter earns 8 dollars

The slope or rate of change is 8.

The question asks for the slope or rate of change. Slope is a measure of how steep a line is, which can be calculated by dividing the change in the y-values by the change in the x-values. In this case, we have two points: (1, 8) and (4, 32), representing the number of hours worked and the corresponding earnings. To find the slope, we can use the formula:

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

Substituting the values into the formula, we get:

slope = (32 - 8) / (4 - 1) = 24 / 3 = 8

Therefore, the slope or rate of change is 8.

https://brainly.com/question/34849567

#SPJ2

Answer: A

Step-by-step explanation:

The correct answer is A. The missing information represented by the variable x is the number of paperback books the friends bought at one dollar a piece.

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

Learn more about Laplace transform here:

https://brainly.com/question/30759963

#SPJ11