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2 years ago

The following steps are used to write the polynominal expression 3(x+4y)+5(2x-y)

Mathematics

1 answer:

vichka [17]2 years ago

4 0

3(x+4y)+5(2x-y) Distrubite
3x+12y+10x-5y After Distribution
3x+10x and 12y+5y Combine like terms
equals 13x+7y
Hope this works

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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values m (slope) and b (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find b and m:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}$

The graph of the regression line is:

5 0

3 years ago

Calculate the frequency of a wave with a speed of 130 m/s and a wavelength of 2.5

denis23 [38]

Answer:

52 Hz

Step-by-step explanation:

We can divide the speed by the wavelength to find the number of waves propagated in one second:

(130 m/s)/(2.5 m/wave) = 52 waves/s

The SI unit of frequency is the Hertz, equal to one cycle per second.

The frequency of this wave is 52 Hz.

_____

Additional comment

The use of the unit Hz to signify frequency was adopted in 1933, but did not replace the unit "cycles per second" (CPS) until a number of years later.

3 0

2 years ago

There were 78 girls trying out for dance. They were placed into groups containing d dancers. How many groups were there, in term

Lera25 [3.4K]

Step-by-step explanation:

The hole never disappears; at the end of the story, the first things that went into the hole come out of the sky and back into the city. There's no sign that the hole is gone

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3 years ago

Which three of the following expenses can student aid cover? tuition television school supplies parties and socializing boarding

Hitman42 [59]

The tuition, school supplies, and boarding/housing for the expenses can student aid cover.

<h3>What is decision-making?</h3>

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

The following expenses can student aid cover.

A. Tuition - A student aid cover can be utilized to promote the tuition.

B. Television - There is no use of the student aid cover for selling the TV.

C. School supplies - We can use the face of the topper on the school supplies to promote schooling.

D. Parties and socializing - There is no need for student aid cover for parties and socializing.

E. Boarding or housing - We can use student aid cover to promote the hostel for the student.

More about the decision-making link is given below.

brainly.com/question/3369578

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2 years ago

SSC's Tuatara is the fastest car in the world with 331 miles per hour

Kipish [7]

Answer:

5.517miles/min

Step-by-step explanation:

331/1h

=331/(1*60) because 1h=60min

7 0

3 years ago