Answer:
w = 3
Step-by-step explanation:
19w - 1 = 11w + 23
19w - 11w = 23 + 1
8w = 24
w = 3
The form of linear equation that describes line is:

First we must calculate the slope.

Now it looks a bit more like this:

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.
The equation now looks like this:

Solve for n.

And finally write the equation.

Hope this helps.
r3t40
Answer:
i)
Find the attached
ii)
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Step-by-step explanation:
i)
A scatter-plot can easily be constructed using applications such as Ms. Excel and Stat-Crunch.
In Ms. Excel we first enter the data in any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.
Excel returns a scatter-plot chart as shown in the attachment below.
ii)
After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.
Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.
Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.
Find the attached for the various trend-lines.
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Since it has the largest R-squared value of 0.9905
Answer:
Christian has 19 video games and Gavin has 30
Step-by-step explanation:
Answer: 34
Step-by-step explanation:
SOH-CAH-TOA
To find the angle, find the inverse cosine of the adjacent side over the hypotenuse. ArcCos(72/87)=34