Explain in steps pls

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

Step-by-step explanation:

Let's simplify the given expression by combining like terms:

3x + 6 + x - 2 + 8(x - 3) - 4 - 4 + x + 1 - 2(x + 2) + 6 + 7x - 8x

First, let's simplify the expression inside the parentheses:

8(x - 3) = 8x - 24

Now we can combine like terms:

3x + x + x + 7x - 8x + 6 - 2 - 4 - 4 + 1 + 6 - 2( x + 2) + 8x - 24

Simplifying further:

6x - 2 - 4 - 4 + 8x - 2(x + 2) - 17

6x + 8x - 2x - 2(2) - 25

12x - 4 - 25

12x - 29

Therefore, the answer to the given expression is 12x - 29.

Answer:

hope this helps!!

Step-by-step explanation:

The points are as selected on the graph.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since f(x) = -9. What this means is that the value of f(x) will always be -9 irrespective of the value of x. That is:

x    f(x)

-2   -9

0    -9

2    -9

7    -9

9    -9

Check the attached image for the points on the graph

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(a) The probability that exactly 10 of the first 15 graded projects are from the second section can be calculated using the binomial probability formula:

P(X = 10) = (15 choose 10) * (35/60)^10 * (25/60)^5 = 0.0361

(b) The probability that at least 10 of the first 15 graded projects are from the second section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 = 0.0536

(c) The probability that at least 10 of the first 15 graded projects are from the same section can be calculated by summing the probabilities for 10, 11, 12, 13, 14, and 15 from both sections:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0361 + 0.0132 + 0.0035 + 0.0007 + 0.0001 + 0.0000 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0556

(d) The mean value and standard deviation of the number among these 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution:

mean = np = 15 * (35/60) = 8.75
standard deviation = sqrt(np(1-p)) = sqrt(15 * (35/60) * (25/60)) = 1.568

(e) The mean value and standard deviation of the number of projects not among these first 15 that are from the second section can be calculated using the formulas for the mean and standard deviation of a binomial distribution, with n = 45 (the remaining number of projects) and p = 35/60 (the probability of a project being from the second section):

mean = np = 45 * (35/60) = 26.25
standard deviation = sqrt(np(1-p)) = sqrt(45 * (35/60) * (25/60)) = 2.714

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Answer:

what is this -by-step explanation:

Answer:

large

Step-by-step explanation:

divide the price by the grams, to find how much each is worth than, figure out that the large is worth 0.1, medium, 0.2, and small, 0.3, so they large you get more for less.

Answer:
The perimeter of the picture frame is 44 inches.

Step-by-step explanation:
The formula for the perimeter of a rectangle is:

Perimeter = 2 x (length + width)

In this case, the length of the picture frame is 14 inches and the width is 8 inches. Substituting these values into the formula, we get:

Perimeter = 2 x (14 + 8) = 2 x 22 = 44 inches

Therefore, the perimeter of the picture frame is 44 inches.


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The equation Z-7x = 0 defines a plane in three-dimensional space, where Z is the vertical axis and x is one of the horizontal axes.

A coordinate is a set of values that specifies the position of a point or an object in a given space or system. In mathematics, the most common coordinate systems are the Cartesian coordinate system and the polar coordinate system. In the Cartesian coordinate system, a point in two-dimensional space is represented by an ordered pair (x,y), where x is the horizontal coordinate (also known as the abscissa) and y is the vertical coordinate (also known as the ordinate).

Here,

Specifically, this plane is parallel to the y-axis and intersects the Z-axis at (0,0,0) with a slope of 7.

None of the answer choices provided correctly describe this surface. The surface is a plane, not a cylinder or cone, and its trace in any plane parallel to the xy-plane is a line (not a square root or parabolic function). Therefore, the correct answer is not given among the choices provided.

Note that if we solve the equation Z-7x = 0 for Z, we get Z = 7x, which is a linear function with slope 7 that passes through the origin. This means that the surface defined by Z-7x = 0 is a plane that is parallel to the y-axis and intersects the three coordinate axes at (0,0,0), (1,7,0), and (0,0,7).

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From the graph, the value of the function g(-9) is 1

From the question, we are to evaluate the function using the given information from the graph.

The given function is g(-9)

To evaluate the function, g(-9), from the graph, we will locate the point where x = -9 on the cartesian plane and then we will trace the point straight to the function graph. From the point on the function graph, we will read the value on the y-coordinate of the point by tracing a straight line to the y-axis.

From the graph,

The value of g(-9) is 1

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Answer:

Slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Slope of a graph = [tex]\frac{rise}{run}[/tex]

Steps to follow:

1. Select two points along this linear graph by reading them:

For example (0, 3) and (8, 7)

2. Draw a vertical line from Point (8, 3) to Point (8, 7). This line is considered as the rise

3. Draw a horizontal line connecting (0, 3) with (8, 3). This line represents the run

4. Substitute the x and y coordinates of the two points mentioned in Step 1 in the formula below:

Slope = [tex]\frac{y_{2} - y_{1}}{x_{2} -x_{1}}[/tex]

          = [tex]\frac{7 - 3}{8 - 0}[/tex]

          = [tex]\frac{4}{8}[/tex]

Divide the numerator and denominator by the Highest Common Factor ‘4’ to simplify the fraction:

            = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

Because the interior angle, which cannot be greater than 180, is apparently 184 degrees.

Answer:

Step-by-step explanation:

9w=93w=10

We move all terms to the left:

9w-(93w)=0

We add all the numbers together, and all the variables

-84w=0

w=0/-84

w=0

Shyam would need S$250 to send NRs 20,000 to Nepal.

To determine how many Singapore dollars Shyam needs to send NRs 20,000 to Nepal, we need to first use the exchange rate provided to convert NRs to Singapore dollars.

The exchange rate given is S$1.00 = NRs 80.00. This means that for every Singapore dollar, Shyam can get 80 Nepalese rupees.

To find out how many Singapore dollars Shyam needs to send NRs 20,000, we need to divide NRs 20,000 by 80, which gives:

NRs 20,000 / 80 = S$250

Therefore, Shyam would need S$250 to send NRs 20,000 to Nepal.

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Using the Confidence-interval formula, we get that the confidence interval for p1-p2 = 1.962.

The term "confidence interval" is used to define the degree of uncertainty surrounding a sampling technique. The probability that the parameter's true value will fall inside a given range is provided by a confidence interval.

A confidence interval estimate of a population mean is often presented as follows: = Sample mean × Standard error of Mean

Given, n1 = 210 and n2 = 141

Sample proportions that have been given are p1 = 70 and p2 = 20

difference of the estimate, p1 - p2 = 50

Confidence interval for p1-p2:

(p1 - p2)-E ≤ (p1-p2) ≤ (p1-p2) + E

Where E = z × √ (p1q1/n1 + p2q2/n2)

Z is the critical value for confidence level.

Putting the values of n1, n2, p1 and p2 we get:

Critical z value, z = 1.962

Standard Error, [tex]SE_{p1 - p2}[/tex] = NaN

Therefore, ≈95% Confidence Interval:(NaN, NaN).

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Answer:

Which of the following numbers is NOT divisible by 3?

Step-by-step explanation:

You're welcome.

Answer:

241

Step-by-step explanation:

300÷3=100

321÷3=107

241÷3=80.33

8,910÷3=2,970

The missing side of the prism measures 56 units.

Here we can see that the front face is a triangle with a base of 8 units and a height of 15 units. And x is the length perpendicular to that face, then the volume of the prism is:

V = (15)*(8)*x/2

We know that V = 3,360 cubic units, then:

3,360  = (15)*(8)*x/2

3,360 = 60*x

3,360/60 = x

56 = x

The missing side measures 56 units.

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The first three terms of the AP are -4.28, -7.28, -10.28

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

Given that, the sum of the first 9 terms of an AP is 56 and the sum of the next 10 terms is 430. we need to find the first three terms of the AP.​

The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ). It is called the arithmetic series formula.

Therefore,

56 = 9/2(2a₁+(9-1)d)

12.44 = 2a₁+7d

2a₁ = 12.44-7d....(i)

430 = 19/2(2a₁+18d)

45.26 = 2a₁+18d

2a₁ = 45.26-18d....(ii)

Equating the RHS of the equations,

12.44-7d = 45.26-18d

11d = 32.82

d = 3

Put d = 3, in equation (i)

2a₁ = 12.44-7(3)

2a₁ = -8.56

a₁ = -4.28

Therefore, the next three terms = -4.28, -7.28, -10.28

Hence, the first three terms of the AP are -4.28, -7.28, -10.28

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Using linear programing and graphical method, the solutions are (0, 4), (3, 0) and (6, 4)

To solve the system of inequalities using linear programming, we need to graph the feasible region and find the optimal solution.

First, we will graph the boundary lines of the inequalities. To do this, we will find the x and y intercepts of each line and plot the points. Then we will draw the lines that connect the points.

For the first inequality, 6x - 4y ≤ 18, we can find the x intercept by setting y = 0:

6x - 4(0) = 18

6x = 18

x = 3

For the y intercept, we set x = 0:

6(0) - 4y = 18

-4y = 18

y = -4.5

So the x and y intercepts are (3, 0) and (0, -4.5), respectively.

For the second inequality, -2x + 7y ≤ 28, we can find the x intercept by setting y = 0:

-2x + 7(0) = 28

-2x = 28

x = -14

For the y intercept, we set x = 0:

-2(0) + 7y = 28

7y = 28

y = 4

So the x and y intercepts are (-14, 0) and (0, 4), respectively.

Next, we need to shade the feasible region that satisfies all the inequalities. The feasible region is the region that is below the first line (6x - 4y = 18) and to the left of the second line (-2x + 7y = 28), and in the first quadrant where x and y are both non-negative.

The optimal solution is the point within the feasible region that maximizes the objective function. Since we don't have an objective function to maximize or minimize, we can simply find the corner points of the feasible region and evaluate them to see which one satisfies the original inequalities. The corner points of the feasible region are the intersection points of the boundary lines. In this case, the corner points are (0, 4), (3, 0), and (6, 4).

Evaluating each corner point in the original inequalities, we get:

1. (0, 4):

6(0) - 4(4) = -16 ≤ 18 (satisfies the first inequality)

-2(0) + 7(4) = 28 ≤ 28 (satisfies the second inequality)

2. (3, 0):

6(3) - 4(0) = 18 ≤ 18 (satisfies the first inequality)

-2(3) + 7(0) = -6 ≤ 28 (satisfies the second inequality)

3. (6, 4):

6(6) - 4(4) = 20

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Answer:

Option D : 22°

Step-by-step explanation:

The relationship between angle C and the two legs of the right triangle ie AB and BC is

[tex]\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ[/tex]

Rounded to the nearest degree this would be 22°

Option D

Answer:

D

Step-by-step explanation:

using either the sine or cosine or tangent ratios in the right triangle , that is

sin C = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{2}{\sqrt{29} }[/tex] , then

∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )

or

cos C = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{\sqrt{29} }[/tex] , then

∠ C = [tex]cos^{-1}[/tex] ( [tex]\frac{5}{\sqrt{29} }[/tex] ) ≈ 22° ( to the nearest degree )

or

tan C = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ C = [tex]tan^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 22° ( to the nearest degree )

Here are the answers part-wise.

Part A
Considering the current state of the economy and what you know about monetary policy, the Federal Reserve should keep interest rates constant. The reason is that the current environment is conducive to a low-interest rate environment, which encourages business and consumer investments and helps promote economic growth.

Part B
https://www.marketwatch.com/story/why-the-fed-should-not-raise-rates-now-2020-10-02

Part C
The three main points from the source are:
1. The economy is still recovering from the pandemic and raising interest rates could be detrimental to the recovery;
2. Low-interest rates help encourage borrowing for business investment, which helps promote economic growth;
3. Low-interest rates allow businesses and consumers to manage their debt payments more easily.

Part D
The bias that the author brings to their opinion is that low-interest rates are beneficial for the economy and should not be increased.

Part E
https://www.cnbc.com/2020/09/30/fed-should-hike-rates-because-economic-data-now-justifies-it-top-bank-ceo-says.html

Part F
The three main points from the source are:
1. The economy is performing well and raising interest rates would help maintain this momentum;
2. Low-interest rates have encouraged borrowing, which has created a potential for future inflation;
3. Low-interest rates have increased stock market volatility and therefore raising them could help to reduce it.

Part G
The bias that the author brings to their opinion is that high-interest rates are beneficial for the economy and should be increased.

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The critical value z Subscript alpha divided by 2zα/2 that corresponds to the given confidence level. 94% is 1.88.

To find the critical value zα/2 that corresponds to the given confidence level of 94%, we need to use the standard normal distribution table or a calculator with a normal distribution function.

The steps to find the critical value are:
1. Subtract the confidence level from 100% to get the level of significance α: α = 100% - 94% = 6%
2. Divide the level of significance by 2 to get α/2: α/2 = 6%/2 = 3%
3. Convert the percentage to a decimal: 3% = 0.03
4. Find the z-score that corresponds to the area to the left of the critical value, which is 0.5 + α/2 = 0.5 + 0.03 = 0.53
5. Use the standard normal distribution table or a calculator to find the z-score that corresponds to an area of 0.53. The z-score is approximately 1.88.

Therefore, the critical value zα/2 that corresponds to the given confidence level of 94% is 1.88.

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Answer:

To solve this system using elimination, we can add the two equations together to eliminate the y variable:

(5x + 6y) + (10x - 6y) = 26 - 2

Simplifying this equation gives:

15x = 24

Dividing both sides by 15 gives:

x = 24/15 = 8/5

We can substitute this value of x into either of the original equations to solve for y. Let's use the first equation:

5x + 6y = 26

Substituting x = 8/5 gives:

5(8/5) + 6y = 26

Simplifying this equation gives:

y = (26 - 8)/6 = 3

Therefore, the solution to the system is x = 8/5 and y = 3.

The chemical reaction reaches it's minimum temperature at 3 seconds and the minimum temperature attained by the chemical reaction is 1° C.

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

Given is a graph of parabola.

A graph of parabola indicates that the function is quadratic.

The chemical reaction reaches it's minimum temperature at the vertex of the parabola.

Vertex of the parabola is the coordinates (3, 1).

Minimum temperature is attained at time t = 3 seconds.

The minimum temperature attained is 1° C.

Hence the minimum temperature od 1° C is attained in 3 seconds.

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Answer:

Estimate of 938,617 - 254 is  938, 300

Step-by-step explanation:

To round to the nearest hundred we look at the digit in the hundreds place and examine the digit to the right of it. If the digit to the right of the 100's place is 5 or greater round the hundreds digit up, else leave it as is. Make all the digits to the right of the 100's digit zeros

938,617 rounded to the nearest 100 is 938,600
The 6 in the hundreds place stays the same, because the digit to the right in the tens place is 1 which is less than 5

254 rounded to 100's place = 300
The digit in the 100's place is 2; the digit to the right of it is 5 so round 2 to 3 and make all digits to its right as 0

Estimate of 938,617 - 254 = 938,600 - 300 = 938, 300

Actual value of 938,617 - 254 = 938,363 so we are off by only a small margin

Answer:

Range in data interpretation is described as the distance between the minimum value and the maximum value.

Step-by-step explanation:

Examples: 15 to 97.

Answer:

24 days.

Step-by-step explanation:

Since the clock loses 15 minutes per day, it will show the correct time after gaining back 24 hours, equivalent to 1 day.

Therefore, the clock will show the correct time for the first time after 24 days, which is calculated as follows:

One day to gain back the first 15 minutes

One day to gain back the second 15 minutes

...

One day to gain back the 24th 15 minutes

So the answer is 24 days.

The interval in set builder notation is {x : x ≥ -2 and x < 3, where x ∈ R} and the graph of the interval is given below.

Set builder form is used to represent the numbers in a set especially infinite numbers in a set using a statement which describes all the elements in the set.

Given interval is [-2, 3).

This is a closed interval from -2 and open interval at 3.

So, this interval contains all the elements from -2 to 3 where 3 is not included.

So, the set builder form can be written as,

{x : x ≥ -2 and x < 3, where x ∈ R}

The graph of the interval on the number line will be a straight line with closed circle at -2 and open circle at 3.

Hence the set builder form is {x : x ≥ -2 and x < 3, where x ∈ R}.

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a) we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b) it does not provide evidence that p is different from 39% .

c)   66   households were selected in the humane society's sample

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

a)

95 percent confidence level  = 0.417 ± 0.119 =(0.298,0.536)

we are 95 percent confident the proportion of households in its county that own at least one dog lies in the interval (0.298,0.536)

b)  it does not provide evidence that p is different from 39% .

Since 0.39 is included in the interval (0.298,0.536)  

c) margin of error = ( 0.536 - 0.298)/2

z√(pq)/n  = 0.119

=> 1.96 ( √((0.417(1-0.417)/n) ) = 0.119

=> 65.95 = n

=> n= 66

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Answer:

f(4)= 36

f(4) = 7n-7

Step-by-step explanation:

f(4)= 9(4)

36= f(4)

f(4) = - 2(4)(n-1)-1

8(n-1) - 1

7 (n-1)

7n-7 = f(4)

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The Fibonacci numbers are defined by the following recursive formula: f0 = 1, f1 = 1, fn = fn−1 + fn−2 for n ≥ 2. Thus, each number in the sequence (after the first two) is the sum of the previous two numbers.