Simplify the following expression: 6(5 - 3x) - 5(3x + 2) �� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x

Answers

Answer 1

Answer:

Answer:20-33x

Step-by-step explanation:

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Find the square (2m-8)^2

Answers

The value of expression is,

⇒ (2m - 8)² = 4m² - 24m + 64

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The expression is,

⇒ (2m - 8)²

Now,

We know that,

The formula is,

⇒ (a - b)² = a² - 2ab + b²

Hence, We get;

⇒ (2m - 8)² = (2m)² - 2 × 2m × 8 + (8)²

= 4m² - 24m + 64

Thus, The value of expression is,

⇒ (2m - 8)² = 4m² - 24m + 64

Learn more about the quadratic equation visit:

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(2m - 8)²
(2m - 8)(2m - 8)
2m(2m - 8) - 8(2m - 8)
2m(2m) - 2m(8) - 8(2m) + 8(8)
4m² - 16m - 16m + 64
4m² - 32m + 64

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number.

Answers

Answer: 8 years

Step-by-step explanation:

8 years

The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!

Answers

Answer:

28 people played a video game

Step-by-step explanation:

Final answer:

The statement supported by the scatter plot depends on the pattern of the data points. A positive correlation means as playing time increases, so do levels completed, while a negative correlation would mean the opposite. A linear regression model can also be used for a precise interpretation if the data align along a straight line.

Explanation:

The scatter plot, in the context of this question, is a graphical representation showing the relationship between the number of minutes each person played a video game (independent variable, x-axis) and the number of levels each person completed in the video game (dependent variable, y-axis). The best statement that can be made from the scatter plot would depend on the pattern that the data points form.

If the scatter plot shows a positive correlation, this means that as the number of minutes played increases, the number of levels completed also increases. If the plot shows a negative correlation, this means the more minutes played, the lesser the number of levels completed. If there is no discernible pattern in the data, we would say there is no correlation between the time played and levels completed. Furthermore, the strength of these correlations can be assessed based on how close the data points cluster to a theoretical line of best fit.

For a more precise interpretation, we could also look into employing a linear regression model if the data seems to align along a straight line, divining a mathematical relationship between x and y.