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GalinKa [24]
2 years ago
11

Calculate the equation of the line through the points (1, 1), (4,3), (10, 7) and (40, 27).​

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
5 0

Answer:

y = 2/3x + 1/3

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What is the factored form x^3 - 1 ?
amid [387]

Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)

Explanation:

This is a type of factorizing called the sum or difference of 2 cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

The sum of the cubes is factored as:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

In this case, we have: x^3 - 1 so follow the rule above.

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

7 0
3 years ago
Paul drove 225 miles to visit his parents. The graph below shows the distance traveled and the total time of the trip. Write and
ziro4ka [17]

50mph

Step-by-step explanation:

The image of the motion of Paul's derive is attached already.

From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.

What is average speed?

 Average speed is the rate of change of total distance covered with time taken .

Average speed = \frac{total distance }{time}

To find the total distance covered;

 Distance at time 1 = 75miles

  Distance at time 4 = 225miles

Distance covered between 1 - 4 = 225 - 75 = 150miles

Time taken for the journey = 4 - 1 = 3hrs

Input the values in the equation;

   Average speed = \frac{150}{3} = 50mph

learn more:

Speed and motion brainly.com/question/10048445

#learnwithBrainly

5 0
3 years ago
What is the sum of 4ft 4 in and 1 ft 11in
Nataliya [291]

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

3 0
3 years ago
Read 2 more answers
Why is a regression line referred to as the line of best fit?
aalyn [17]
<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

4 0
3 years ago
34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.
sveticcg [70]

Answer:

Median

Step-by-step explanation:

The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.

6 0
2 years ago
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