Answer:
Top left graph
General Formulas and Concepts:
<u>Statistics</u>
- Scatter Plots
- Best Line of Fit
Step-by-step explanation:
The best linear model for the data would be the best line of fit for the data. We can eliminate the rightmost graphs as they have no correlation with the data.
Between the leftmost graphs, we can see that the top left graph would be choice as it encompasses most of the data/is more of the data's average than the bottom one.
Answer:
26 inches
Step-by-step explanation:
The bike tire moves 136 feet in 20 revolutions.
The tire is shaped as a circle. 1 revolution is equivalent to going round the circumference 1 time, hence, the circumference of the bike tire is:
136/20 = 6.8 feet
The circumference of a circle is given as:
C = πD
=> D = C / π
Therefore, the diameter of the bike tire is:
D = 6.8 / 3.14 = 2.17 feet
To convert to inches:
1 feet = 12 inches
2.17 feet = 2.17 * 12 = 26.04 inches ≅ 26 inches
The simplest solution:
y - intercept of the function on the graph is (0; 6).
Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept
f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6
Other functions have y - intercept equal (0; -6).
f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6
The correct answer is option A. Erica is correct in saying that the two lines are not necessarily the same and we should also look at the y-intercepts before determining how many solutions there were. <span>Two lines with equal slopes could be the same line, but only if they have the same y-intercept.</span>