A line has the equation y = 3x + 17

What are the coordinates of the y-intercept of the line?

Explanation:

It's probably not obvious, but the squiggly portion through the x intercept x = -1 is a triple root. This is because this portion resembles a cubic graph. If instead it was a more straightish line through this root, then we'd have a single root.

So because x = -1 is a triple root, this means the factor (x+1) has the exponent 3. We have the factor (x+1)^3

The other factor is (x-2) from x = 2 being the other root.

All together we have (x+1)^3*(x-2) as the complete factorization. The leading coefficient is 1 to have this graph open upward. Or put another way, since the end behavior is going to positive infinity for both endpoints, the leading coefficient must be positive.

Answer: I would personally say 1/3

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

To know more about  accumulated data click here:

brainly.com/question/29638039

#SPJ4

.

Answer: u = 1

36 = 6(1)+30

Step-by-step explanation:

Answer:

1=u

Step-by-step explanation:

36-30=6u+30-30

6=6u

6÷6=6u÷6

1=u

Answer:

10

Step-by-step explanation:

Should be right

Answer:

Step-by-step explanation:

Let side be x

Using Pythagoras theorem

diagonal =hypotenuse

x²+x²=20²

2x²=400

x²=200

x=10√2

Side is 10√2

Perimeter=4×10√2=>40√2cm

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

To learn more about function click here: brainly.com/question/30721594

#SPJ11

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Answer:

Iscocoles and Scalene

Step-by-step explana

This should be the correct anwser. A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral.

Answer:

2. Scaline, Right     3. Scaline, Obtuse  4. Iscocilies, acute 5. Equalateral, right

Step-by-step explanation:

Answer:

To find the equation that represents the average sales each day, we need to first find the inverse of the function and then solve for S.

Inverse of S is given by:

t = (S^2 + 4S - 12)/(S - 7)(S - 2)

We can rewrite this as:

t(S - 7)(S - 2) = S^2 + 4S - 12

Expanding the left side:

t(S^2 - 9S + 14S - 14) = S^2 + 4S - 12

Simplifying:

tS^2 - 9tS + 14tS - 14t = S^2 + 4S - 12

Rearranging:

(t - 1)S^2 + (5t - 4)S - 12t + 12 = 0

Finally, solving for S:

S = [(4 - 5t) ± sqrt((5t - 4)^2 + 4(t - 1)(12t - 12))] / 2(t - 1)

Therefore, the equation that represents the average sales each day for the real estate company is:

S = [(4 - 5t) ± sqrt((5t - 4)^2 + 4(t - 1)(12t - 12))] / 2(t - 1)

Two cars are traveling from a certain place in opposite directions, one going 55 km/h.the two cars will be 135 km apart after 1.227 hours of travel.

After how many hours will they be 135 km apart?To determine after how many hours the cars will be 135 km apart, we will have to employ the concept of relative speed. It is the rate at which the distance between two objects moving in opposite directions is changing.Let x be the speed of the second car. Therefore, the relative speed of the two cars can be calculated as:Relative speed = speed of first car + speed of second carRelative speed = 55 km/h + x km/hWe know that they were 0 km apart initially, and now they are 135 km apart.

Therefore, the distance covered by the two cars is 135 km.Time = Distance / SpeedTime = 135 km / Relative speedTime = 135 km / (55 km/h + x km/h)After t hours, the distance between them would be 135 km. Hence, this is our equation:135 = (55 + x)tNow, we need to solve for time t. Solving the equation for t yields:t = 135 / (55 + x)The two cars will be 135 km apart after t hours, where:t = 135 / (55 + x)The final answer should be in the form of an integer or decimal. Therefore, we need to determine the value of x and substitute it into the formula above. We can determine the value of x by dividing the distance covered by the time taken, i.e., x = distance / time taken.x = 135 km / tSince t = 135 / (55 + x), we can substitute the above equation for t in the previous expression:x = 135 km / (135 / (55 + x) )x = (55 + x) / 1x = 55 + xSolving for x yields:x - x = 55x - x = 55x = 55Therefore, the value of x is 55.

Hence, we can substitute this value into the equation:t = 135 / (55 + x)t = 135 / (55 + 55)t = 135 / 110t = 1.227 hoursTherefore, the two cars will be 135 km apart after 1.227 hours of travel. Answer: 1.227 hours (rounded off to three decimal places).

Learn more about directions here:

https://brainly.com/question/15814609

#SPJ11

Answer:

Step-by-step explanation:

1-1=0

Answer:You will have 0 moms.

Step-by-step explanation:

First you take 1 away from 1.

After that you get your answer of 0.

if f has an absolute maximum value at c, then function f '(c) = 0 is True

This statement is true. This is because the first derivative of a function, f', is equal to 0 at the point of an absolute maximum. This is because the first derivative measures the rate of change of a function, and at a maximum, the rate of change of a function is 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

The statement that if f has an absolute maximum value at c, then f '(c) = 0 is true. This is because the first derivative of a function measures the rate of change of a function. At an absolute maximum, the rate of change of a function is 0, so the first derivative of a function at that point must be 0. Therefore, if a function has an absolute maximum value at c, then f'(c) = 0.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

The average acceleration of the particle during the 4.0 s interval is -19 m/s². The acceleration of the electron, assumed constant, is approximately 1.5689512 × 10^15 m/s².

To find the average acceleration of the particle during the 4.0 second interval, we can use the equation:

Average acceleration = (Change in velocity) / (Time interval)

Given:

Initial velocity (v₀) = 26 m/s (positive x direction)

Final velocity (v) = -50 m/s (opposite direction)

Time interval (Δt) = 4.0 s

Change in velocity = Final velocity - Initial velocity = v - v₀

Plugging in the values, we have:

Change in velocity = (-50 m/s) - (26 m/s) = -76 m/s

Now, we can calculate the average acceleration:

Average acceleration = (Change in velocity) / (Time interval) = (-76 m/s) / (4.0 s)

Average acceleration = -19 m/s²

Therefore, the average acceleration of the particle during the 4.0 s interval is -19 m/s².

As for the second part of your question:

Given:

Initial velocity (v₀) = 1.76 × 10⁵ m/s

Final velocity (v) = 5.61 × 10⁶ m/s

Distance (s) = 1.0 cm = 0.01 m

Using the equation:

Final velocity squared = Initial velocity squared + 2 * acceleration * distance

v² = v₀² + 2 * a * s

Rearranging the equation to solve for acceleration (a), we have:

a = (v² - v₀²) / (2 * s)

Plugging in the values, we get:

a = (5.61 × 10⁶m/s)² - (1.76 × 10⁵ m/s)² / (2 * 0.01 m)

a = (3.141 × 10¹³ m²/s² - 3.0976 × 10¹⁰ m²/s²) / 0.02 m

a = 3.1379024 × 10¹³ m²/s² / 0.02 m

a = 1.5689512 × 10¹⁵ m/s²

Therefore, the acceleration of the electron, assumed constant, is approximately 1.5689512 × 10¹⁵ m/s².

Learn more about average here: https://brainly.com/question/8501033

#SPJ11

The complete question is:

At a certain time a particle had a speed of 26 m/s in the positive x direction, and 4.0 s later its speed was 50 m/s in the opposite direction. What was the average acceleration of the particle during this 4.0 s interval? Number Units An electron with initial velocity v₀ = 1.76 × 10^5 m/s enters a region 1.0 cm long where it is electrically accelerated. It emerges with velocity v=5.61×10^ 6 m/s. What is its acceleration, assumed constant? (Such a process occurs in conventional television sets.)

Answer:

3 - x/12

Step-by-step explanation:

follow the steps in the sentence

Answer:The simplified expression is 12√3.

Step-by-step explanation:

\( \begin{aligned} \sqrt{6} \: ( \sqrt{18} + \sqrt{8} )&= \sqrt{6} \: ( \sqrt{2 \times 9} + \sqrt{2 \times 4} ) \\ &= \sqrt{6} \: (3 \sqrt{2} + 2 \sqrt{2} ) \\ &= \sqrt{6} \: (5 \sqrt{2} ) \\&=5 \sqrt{12} \\ &=5 \sqrt{3 \times 4} \\ &=5 \times 2 \sqrt{3} \\ &= \bold{10 \sqrt{3} } \\ \\ \small{ \blue{ \mathfrak{That's \:it\: :)}}}\end{aligned}\)

Millimeters can be converted into centimeters by dividing the value by 10. The solution has been obtained by using the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

We are required to convert millimeters to centimeters.

We know that 1 centimeter = 10 millimeters

So, for converting millimeters to centimeters, we need to divide the value by 10.

Hence, millimeters can be converted into centimeters by dividing the value by 10.

Learn more about unit conversion from the given link

https://brainly.com/question/4158962

#SPJ4

The dimensions of the rectangular sticker can be found by using the area and perimeter formulas. After solving the resulting system of equations, it can be concluded that the sticker has dimensions of 15 cm by 7 cm.

Let the length and width of the rectangle be l and w respectively.

Given that the area of the rectangle is 105 square centimeters.

So, lw = 105 --- equation (1)

Also, given that the perimeter is 44 centimeters.

Perimeter = 2(l + w) = 44

l + w = 22 --- equation (2)

Solving equations (1) and (2) simultaneously, we get:

l = 15 and w = 7

Therefore, the dimensions of the rectangular sticker are 15 cm by 7 cm.

To know more about area:

https://brainly.com/question/19477740

#SPJ4

The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

To learn more about Linear Equations visit

https://brainly.com/question/29142080

#SPJ4

Answer:

41 degrees

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8

To find the x-intercepts of the parabola defined by the equation y=3x^2+3x-6, we need to set y=0 and solve for x. Using the quadratic formula, we can find the values of x that make y=0, giving us the x-intercepts of the parabola.

To find the x-intercepts of the parabola defined by the equation y=3x^2+3x-6, we need to set y=0 and solve for x. This is because the x-intercepts are the points where the graph intersects the x-axis, meaning y=0 at those points. Therefore, we can substitute y=0 into the equation and solve for x:

0 = 3x^2 + 3x - 6

We can simplify the equation by dividing both sides by 3:

0 = x^2 + x - 2

Now we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a=1, b=1, and c=-2 are the coefficients of x^2, x, and the constant term, respectively.

Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-2))) / 2(1)

x = (-1 ± sqrt(9)) / 2

Which gives us two possible solutions:

x = (-1 + 3) / 2 = 1

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

Therefore, the x-intercepts of the parabola are at the points (1, 0) and (-2, 0).

Learn more about Parabola:

brainly.com/question/29267743

#SPJ11

Answer:

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.

The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)

If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).

ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)

Answer: c

Step-by-step explanation:

The answer is c bc you reflect across the y axis and then translate

Answer:

10 /8es una fracción equivalente a5/4 15/12 y multiplica el número por un mis mo número y te saldrán infinitoss

Answer:

3/4 es mayor que -5/4 ..........

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

Combine like terms

6x -3x     -2y +2y

3x                 +0

3x

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

combine like term

6x-3x= 3x

-2y+2y=0

3x

The calculated value of the Einstien's weight is -70 pounds.

To find Einstein's weight, let's break down the information given:

1. Between January and June, Copernicus shed 13 pounds.

2. Even after gaining 1.2 times as much weight as Einstein, Copernicus would still weigh 1 pound less than he did in January.

Let's assume Einstein's weight is "x" pounds. According to the second statement, if Copernicus gains 1.2 times Einstein's weight, his weight would still be 1 pound less than he was in January.

The equation can be written as:

\(1.2x + 1 = x - 13\)

Simplifying the equation:

\(0.2x + 1 = -13\)

Subtracting 1 from both sides:

\(0.2x = -14\)

Dividing both sides by 0.2:

\(x = \dfrac{-14} { 0.2}\\\\x = -70\)

Therefore, Einstein's weight is -70 pounds.

To know more about an expression follow

https://brainly.com/question/34211926

#SPJ12

The events A and B are neither independent nor mutually exclusive by default.

The probability of getting a 0 when rolling a fair die is 0, because 0 is not a possible outcome on a standard die.

The probability of getting a number less than 5 when rolling a fair die is P(less than 5) = 4/6 = 2/3. This is because there are four outcomes (1, 2, 3, 4) out of six total outcomes (1, 2, 3, 4, 5, 6) that are less than 5.

Regarding the events A and B, A: The student is a man, and B: The student belongs to a fraternity, we cannot determine their relationship based on the given information.

The events A and B may or may not be independent or mutually exclusive, as the information about the class composition and the proportion of men in fraternities is unknown.

To know more about probability refer to-

https://brainly.com/question/32117953

#SPJ11

Answer:

Below.

Step-by-step explanation:

Factorising:

12a-12b+12c

= 12(a - b + c).