What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2

Answer:

To sum up, 162/9 = 18.

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 162 on the right side like this:

9 ⟌ 1 6 2

Step 2:

The divisor (9) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

0

9 ⟌ 1 6 2

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

0

9 ⟌ 1 6 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

0

9 ⟌ 1 6 2

- 0

1

Step 5:

Move down the 2nd digit of the dividend (6) like this:

0

9 ⟌ 1 6 2

- 0

1 6

Step 6:

The divisor (9) goes into the bottom number (16), 1 time(s). Therefore, put 1 on top:

0 1

9 ⟌ 1 6 2

- 0

1 6

Step 7:

Multiply the divisor by the result in the previous step (9 x 1 = 9) and write that answer at the bottom:

0 1

9 ⟌ 1 6 2

- 0

1 6

9

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 9 = 7) and write the answer at the bottom.

0 1

9 ⟌ 1 6 2

- 0

1 6

- 9

7

Step 9:

Move down the last digit of the dividend (2) like this:

0 1

9 ⟌ 1 6 2

- 0

1 6

- 9

7 2

Step 10:

The divisor (9) goes into the bottom number (72), 8 time(s). Therefore put 8 on top:

0 1 8

9 ⟌ 1 6 2

- 0

1 6

- 9

7 2

Step 11:

Multiply the divisor by the result in the previous step (9 x 8 = 72) and write the answer at the bottom:

0 1 8

9 ⟌ 1 6 2

- 0

1 6

- 9

7 2

7 2

Step 12:

Subtract the result in the previous step from the number written above it. (72 - 72 = 0) and write the answer at the bottom.

0 1 8

9 ⟌ 1 6 2

- 0

1 6

- 9

7 2

- 7 2

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 162 divided by 9 calculated using Long Division is:

18

0 Remainder

Step 1: Write out the formula for amount spent

Step 2: Find the amount she spent on gumballs

Tnerefore

Step 3: Find the amount she spent on chocolate drops

Therefore

Therefore,

Step 4: Find the amount spent on buying chocolate drops and gumballs

Amount spent on both items above= $5.85 + $1.50= $7.35

Therefore,

The amount spent on jellybeans = $10 - $7.35 =$2.65

Step 5 : find the number of pounds of jellybeans she can buy

Hence she can buy only 2.12 lb of jellybeans

Step 6 : State the operations performed to get the answer

Firstly, We had to multiply the price per pound by the number of pounds for both Gumballs and Chocolate drops( Multiplication was used here)

Secondly, we had to add the prices of both Gumballs and Chocolate drops and then substract it from the amount she had on her(Addition and substraction were used here)

Lastly, we had to divide the amount spent on jellyneans by the amount of jellybeans per pound(Division was used here)

The operations used were Multiplication ,addition, substraction and division

Answer:

x = 15/2 (15 over 2)

y = 8

Step-by-step explanation:

there 3 different way to do this (substitution, Elimination and Matrix)

ill be showing substitution ( you use the answer of one of the variables and substitute it for the other questions variable)

4 + y = 12

y = 12 -4

y = 8

y = -2x - 7

8 = 2x - 7  

8 + 7 = 2x

15 = 2x

x = 15/2

hope this helped and made a little sense!

Answer:

The cutoff value for the top 5% of all IQs is 131.255.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 100, \sigma = 19\)

What is the cutoff value for the top 5% of all IQs

This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 100}{19}\)

\(X - 100 = 19*1.645\)

\(X = 131.255\)

The cutoff value for the top 5% of all IQs is 131.255.

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

The values of the coordinates x and y is P ( 6 , 3 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( x , y )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m₁ = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = y / x

m₁ = 1/2

So , y/x = 1/2

And , x = 2y

Now , the third point is R ( 7 , 5 )

m₂ = ( 5 - y ) / ( 7 - x )

m₂ = 2

On simplifying , we get

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

Multiply by ( 7 - x ) , we get

5 - y = 14 - 2x

Adding 2x and subtracting 5 on both sides , we get

2x - y = 9

Substitute the value of x from m₁ , we get

2 ( 2y ) - y = 0

3y = 9

Divide by 3 on both sides , we get

y = 3

And , the value of x = 6

Hence , the coordinate of the point P is P ( 6 , 3 )

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Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.

(Remember that an integer and a whole number are the same).

This means that...

All whole numbers/integers are rational.

3 is true for reasons mentioned above.

4 is just asking the same as 3.

Answer:

An equation in the slope-intercept form is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Given that every month Monica withdraws $15 from this account for her contact lenses

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting \(m = 15\), \(x = 3\) and \(y = 255\) in the slope-intercept form to determine the y-intercept

\(y = mx+b\)

\(255 = 15(3) + b\)

switch sides

\(15(3) + b = 255\)

\(45 + b = 255\)

\(b = 255 - 45\)

\(b = 210\)

Thus, the y-intercept b = 210

Now, substituting \(m = 15\) and \(b = 210\) in the slope-intercept form of the line equation

\(y = mx+b\)

\(y = 15x+210\)

Hence, an equation in the slope-intercept form is:

Answer:

X = 97.45 - 42

Step-by-step explanation:

If 42 + X = 97.45, X needs to be 97.45 - 42

you can do the same thing with smaller numbers, for example:

5 + X = 7

7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer

so for this question, 97.45- 42 = 55.45 so that's X

you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!

I hope that makes sense

Answer:m∠XZY = (a – b)

Step-by-step explanation:just took the test and got it right

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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The average power radiated by each square meter of the sun's surface is approximately 386 W/m². This value is calculated by dividing the total power radiated by the sun (approx. 386 billion Megawatts) by its surface area (approx. 6.08 x 10¹⁸ square meters). The formula for the surface area of a sphere is 4πr².

The average power radiated by each square meter of the sun's surface can be calculated as follows:

       The total power radiated by the sun is approximately 386 billion

       Megawatts (3.86 x 10³³ erg/s).

        The surface area of the sun can be calculated using the formula for

        the surface area of a sphere:

        A = 4πr², where r is the radius of the sun (approx. 6.96 x 10⁸

        meters).

        Plugging in the values, we get:

        A = 4π (6.96 x 10⁸)² = 6.08 x 10¹⁸ square meters.

        Finally, divide the total power by the surface area to get the

        average power radiated by each square meter of the sun's surface:

        P = 3.86 x 10³³ erg/s / 6.08 x 10¹⁸ m² = 386 W/m².

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Answer: p = 4n

Step-by-step explanation:

To find the perimeter of a shape, you need to add the length of the 4 sides. A square's 4 sides are equal. Therefore, you add n+n+n+n which is the same as 4n.

Answer:

P = n4

Step-by-step explanation:

in order to find the perimeter of an object you must add up all the sides. since we are dealing with a square all the sides are n. so in conclusion, 4 times n would you get you the perimeter, P.

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

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

y = - \(\frac{3}{2}\) x

The word that describes the slope of the line representing the data in the table is "negative."

To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.

Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.

The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.

Therefore, the word that describes the slope of the line representing the data in the table is "negative."

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Answer b

Step-by-step explanation: :)

Answer:

A. the maximum value would increase

C. the median would stay the same

which statements about Ancient Greek life are shown by the story of perseus

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

The scale factor is now 3

Step-by-step explanation:

6/2=3

12/4=3

The smaller square was increased by the scale factor of 3

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

Answer:

1cm =4 cm

Step-by-step explanation:

28/7=4

so Scale is 4

Have a nice Day , I would appreciate it if you could mark my answer brainliest

The drawing should have a scale of 400:1.

A scale is a group of levels or numbers that are applied to a certain system of measurement or comparison.

Given, the drawing length is 7cm and the real length is 28 meters.

real length in cm = 2800. hence,

Scale of drawing = 2800: 7 = 400 : 7

Therefore, 400: 1 would be the scale of the given drawing.

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The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D

In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.

The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.

In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.

Option D

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Answer:D

Step-by-step explanation:

Answer:

5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 210, \sigma = 56\)

What is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?

This is 1 subtracted by the pvalue of Z when X = 300. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{300 - 210}{56}\)

\(Z = 1.61\)

\(Z = 1.61\) has a pvalue of 0.9463

1 - 0.9463 = 0.0537

5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

The area of a parallelogram is the product of its base and its perpendicular height. It is given by:

Area = base * perpendicular height

If Height of parallelogram is 3m and Area is 9m². Let h represent the height, hence:

Area = base * perpendicular height

Substituting:

9 = 3 * h

h = 3 m

A parallelogram with base of 3 m and perpendicular height of 3m have an area of 9m²

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Answer:

answer in image blow

Step-by-step explanation:

Answer:

  (b)  f(x)=9sin(6πx)+3

Step-by-step explanation:

The answer choices differ in the vertical offset and in the frequency.

For frequency f, the argument of the sine function needs to be 2πfx. Here, the frequency of 3 means the argument of the sine function is 2π·3x = 6πx.

The sine function is 0 when x=0, so the y-intercept is the vertical offset: 3.

The only reasonable choice is ...

  f(x) = 9·sin(6πx) +3

_____

Additional comment

The function a·sin(bx) +c has amplitude 'a', frequency b/(2π), and vertical offset 'c'. The amplitude is half the difference between the maximum and the minimum: a=(12 -(-6))/2 = 9. For x=0, the y-intercept is the vertical offset (midline of the function), 'c'.