The graph shows the relationship between the number of months different students practiced baseball and the number of games they won:

the title of the graph is baseball games. on x axis, the label is number of months of practice. on y axis, the label is number of games won. the scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. the points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. a straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

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 equation for the line of best fit in slope-intercept form and use it to predict the number of games that could be won after 13 months of practice. show your work and include the points used to calculate the slope. (5 points)

A) y-intercept = 1.8182

B) they would won 26 games

Step-by-step explanation:

In the figure attached the graph of the problem is shown. It was made in Excel. This kind of software, like scientific calculators, allows us to make regressions, that is, to find the curve (in this case, a line) that best fit the data.

Part A) From the equation, we can see that the y-intercept of the line is 1.8182 . It represents the numbers of games won without practise, that is, the number of months of practise are equal to zero.

Part B) In the plot we can see that the best fit is the equation:

y = 1.8545x + 1.8182

Points used to make the graph:

x, y

0, 1  

1, 3  

2, 5    

3, 9    

4, 10    

5, 12    

6, 13    

7, 14    

8, 17    

9, 18    

10, 20

The x-variable represents the Number of Months of Practice and the y-variable the Number of Games Won. To predict the number of games that could be won after 13 months of practice we have to replace x = 13 in the equation and compute y, as follows:

y = 1.8545*13 + 1.8182

y ≈ 26

So, they would won 26 games

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a