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vladimir1956 [14]
3 years ago
15

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points) Part B: Write the equ

ation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points) Question 3 options:
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

A. The approximate y intercept appears to be about 1.8 (slightly less than 2). What this tells us is that someone with 0 months of practice could expect to win around 1.8 games.

B. Using slope intercept form and assuming that the y intercept is at (0, 1.8), the equation can be solved for by finding the slope first and then putting the slope and the y intercept into the equation.

Slope (m):

points (0, 1.8) and (1, 3.0)

(Y2-y1)/(x2-x1)=(3.0-1.8)/(1-0)=1.2/1=1.2

Equation:

Y=mx+b

Y=1.2x+1.8

Step-by-step explanation:

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Answer:

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Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

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