Answer:
Step-by-step explanation:
First use distributive property: a(b + c) = a*b + a*c
3n - 6 = -8(6 + 5n)
3n - 6 = 6 * (-8) + 5n *(-8)
3n - 6 = -48 - 40n
Now add 40n to both sides
3n - 6 + 40n = -48 - 40n + 40n
43n - 6 = -48
Now add 6 to both sides
43n - 6 + 6 = -48 + 6
43n = -42
n = -42 /43
Answer:
Step-by-step explanation:
So when you express a linear function in slope-intercept form it's given in the form of y=mx+b, where m is the slope, and b is the y-intercept. This is because as x increases by 1, the y-value will increase by m (because multiplication), and since the slope is defined as rise/run, the rise will be m, and run will be 1, giving you a slope of m/1 or m. The reason b is the y-intercept, is because whenever the linear function crosses the y-axis, the x-value will always be 0. Meaning that mx will be 0 because m * 0 will equal 0... and that leaves b by it self, so b will determine the y-intercept.
So if you look at the graph, the linear function crosses the y-axis as (0, 2) so the value of b will be 2. This gives you the equation y=mx+2.
Now to calculate the slope, we can take any two points and see how much the rise was and how much the run was. It can also be more formally defined in the equation: 
. So let's take the points (0, 2) and (8, 8). As you can see the x-value increases by 8 or "ran" by 8, and the y-value increased by 6. So the rise over run in this case is 6/8 which can simplified as 3/4. That is the slope. This gives you the complete equation of:
Answer:
Neither the ranges nor the interquartile ranges for the data sets are the same.
Step-by-step explanation:
In a visual display, the boxplot presents five sample statistics: the minimum, the lower quartile, the median, the upper quartile and the maximum, and the box length gives an indication of the sample variability and the line across the box shows where the sample is centred, with an end at each quartile. The length of the box is thus the interquartile range of the sample and, whether the sample is symmetric or skewed, either to the right or left, the "shape" of the sample, and by implication, the shape of the population from which it was drawn, considering appropriate analyses of the data.
Answer:
2
Step-by-step explanation:
2+2(2)=6
2(2)=4
4=4
