I need help figuring out what: f(r-2)=6x+7 is

Answer:

The problem is telling you to find g ( f ( x ) )

Since we know that f(x) is square root of x, we can put the function this way.

g(√x)

Then, we use  √x as our x in our g(x) function.

You plug in  √x for x and you solve.

(√x ) ^2 is just x.

Finally the answer is

x-3

hope this helps :)

Step-by-step explanation:

Answer:

answer is will be A(x) is linear, but P (x) is not

The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).

For the function -

P(x) = 2[(f + g)(x)]

We can see that two linear functions are added. So the resulting function will be a linear function.

and

For the function -

A(x) = (f º g)(x)

We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.

Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

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The exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

We have data shown in the table:

We can find the exponential regression equation using the data shown.

\(\rm y = ab^x\)

After calculating from the data:

a = 172.21 and b = 0.99

\(\rm y = 172.21(0.99)^x\)

The correlation coefficient will be:

r = -0.99

The range will be all real numbers.

The domain will be y > 0

As we can see in the graph x ∈R and y>0

After an hour,

Plug x = 60 minutes in the exponential regression equation:

\(\rm y = 172.21(0.99)^{60}\)

y = 94.22 degree Fahrenheit

After 4 hours, plug x = 240

\(\rm y = 172.21(0.99)^{240}\)

y = 15.43 degree Fahrenheit

Similarly, we can find any data from the exponential regression equation.

Thus, the exponential regression equation is y = 172.21(0.99)ˣ and at x = 60 minutes y = 94.22 degree Fahrenheit and at x = 240 minutes y = 15.43 degree Fahrenheit.

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Answer:

y = -4

Step-by-step explanation:

First, let's find the slope. Since the line is horizontal, it's slope has to be 0 (this is because slope = rise/run, there is no "rise" in a horizontal line therefore the slope is 0)

Now, we need to find the y-intercept. This is where the line intercepts the y-axis. Looking at the graph, the line intercepts the axis at (0,-4), therefore the y-intercept is -4.

The equation would be:

y=0x-4

y=-4

Based on the value of each letter, a word that can be found to have a value of 18 is Beef.

The question is not complete so I'll answer it using certain assumptions to provide a model you can apply to yours.

Assuming that the value of each letter in a word is the position of the word on the alphabet then a word that has the value of 18 would be BEEF.

The value of B would be 2.

The value of E is 5.

The value of F is 6.

When these are added up:

= 2 + 5 + 5 + 6

= 18

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The average rate of change between 1991 and 1996 is 40 million

The given parameters are:

Population in 1991 = 1.5 billion

Population in 1996 = 1.7 billion

The average rate of change between 1991 and 1996 is calculated as:

Rate = (1.7 billion -1.5 billion)/(1996 - 1991)

Evaluate

Rate = 40 million

Hence, the average rate of change between 1991 and 1996 is 40 million

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Answer:

3x - 5 = 10

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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A linear function is a function with degree 1 (the higher exponent of the variable x is 1). Examples of linear functions are:

equation: y = x + 1

graph of a linear function:

(The equation for this graph is y = 2x + 2)

Table of a linear function:

A non-linear function is any function with degree different from 1.

Examples of non-linear functions:

Equation: y = x² + 2x + 1

graph of a non-linear function:

(the equation for this graph is y = 2x² + x + 1)

Table of a non-linear function:

Answer:

(x + 1)² + y² = 3

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 1, 0 ) and r = \(\sqrt{3}\) , then

(x - (- 1) )² + (y - 0)² = (\(\sqrt{3}\) )² , that is

(x + 1)² + y² = 3

The choice between observational and experimental studies depends on the research question and the ability to control variables. It is essential for statistical workers to conduct ethical research and report accurate results to avoid misleading conclusions.

Observational and experimental studies are two common types of research methods used by analysts to collect and analyze data. In observational studies, researchers simply observe and record data on the variables of interest, without manipulating them in any way. On the other hand, experimental studies involve manipulating the variables under controlled conditions to determine cause-and-effect relationships.

Observations in a study can be of nominal, ordinal, interval, or ratio scale and can be either categorical or quantitative. Nominal and ordinal variables are categorical and are used to categorize data into groups, while interval and ratio variables are quantitative and allow for arithmetic operations.

Cross-sectional data is collected at a single point in time, while time-series data is collected over several time periods. Once data is collected, analysts can use descriptive statistics to summarize the data and statistical inference to make estimates and test hypotheses about the population.

However, unethical behavior by a statistical worker can lead to inaccurate results. Improper sampling, inappropriate analysis, misleading graphical visualizations, inappropriate descriptive statistics, and biased interpretation of results are examples of unethical behavior that can occur in statistical analysis.

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Question

Analysts might carry out observational or experimental studies. The key difference is that experimental studies are carried out under controlled conditions, whereas an observational study simply observes what is happening and records data on observations. Observations contain many variables on entities (people, fish, governments, organisms, etc.) being studied. The variables that make up observations on entities can be of the nominal, ordinal, interval, or ratio scale. A variable can also be either categorical (i.e., fits into categories and labeled on nominal or ordinal scale) or quantitative (on which arithmetic operations are meaningful and which use the interval or ratio scale of measurement). Cross-section data are collected over observations at approximately the same point in time. Time-series data are collected over several time periods. Once data are collected, the analyst might report descriptive statistics or carry out statistical inference, which involves using data from a sample to make estimates and test hypotheses about a population. Unethical behaviors by a statistical worker can take the form of improper sampling, inappropriate analysis, misleading graphical visualizations, inappropriate descriptive statistics, biased interpretation of results and many others.

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

In evaluating the expression 8+ 9/4 (-2) Jenny found the volume to be 25/2. The mistake she made was

volume = 8 1/4.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

8+ 9/4 (-2) = ?

Hence we solve

(8 – 2) + (9/4 - 0)

6+9/4

The number four is the Least Common Multiple (LCM) of the number one. Multiply each fraction's numerator and denominator by whichever number will result in the denominator of each fraction being equal to the LCM, and then subtract that value from 1.

Subtract the numerators now that the fractions have the same denominators.

9 - 0/4 = 9/4

As we convert to whole numbers we have

9/4 = 2 1/4

Hence

=6 +2(1/4)

=8 1/4.

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Answer:

yes because they are smaller two sides than the largest one

\(f(x)=3x^2-2x+13\\\\f(3)=3\cdot3^2-2\cdot3+13=3\cdot9-6+13=27+7=\boxed{34}\)

Answer:

5/24

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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Answer: At-least 89% of employees with commuting times between 54 minutes and 72 minutes .

Step-by-step explanation:

Given: Commuting times for employees of a local company have a mean of 63 minutes and a standard deviation of 3 minutes.

Now, 54 minutes = (63 - 9) minutes

= (63 -3(3)) minutes

= Mean - 3 standard deviation

72 minutes =  (63 + 9) minutes

=63 +3(3) minutes

= Mean + 3 standard deviation

According to Chebyshev's theorem, at least \(\dfrac{8}{9}\) of the data lie within 3 standard deviations of the mean.

i.e. The percentage of employees with commuting times between 54 minutes and 72 minutes = \(\dfrac{8}{9}\times100\approx89\%\)

Hence, at-least 89% of employees with commuting times between 54 minutes and 72 minutes .

Hi there!

\(\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}\)

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

\(-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C\)

Answer:

this is your answer look it once

Answer:

-5 ≤ x ≤ 1 (domain)

-7 ≤ x ≤ -4 (range)

Step-by-step explanation: Domain is x values and range is y.

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

Answer:

Where's the equation?

If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

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The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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The answers are given below.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given:

1) 2Sin(9θ).Cos(5θ)=1/2(Sin14θ+Sin4θ)

2) Sin(3θ)Sin(5θ)Cos(3θ)Cos(5θ)=1/2(Sin8θ+Sin2θ)

3)Cos6θ+Cos4θ=2Cos5θCosθ

4)Sin(13θ/2)+Sin9θ=2Sin(11θ/2)Sinθ

5)Cosθ=2√5/5

6)Cos2θ=23/2

7)Tan(π/12)=2-√3

8)Sin(165°)=√6-√2 /4

9)Cos(5π/18)Cos(2π/9)-Sin(5π/18)Sin(2π/9)=Cos(π/2)

                                                                      =0

Hence, these are the answers .

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Answer:

Answer: I think its 15 but if you could give me answer choices it would be better

But The answer is 15.

Step-by-step explanation:

Step-by-step explanation: