At what coordinate point with the graph of y = 3x - 8 intersect that of its inverse?

Point of Intersection: (-4, -4)

Step-by-step explanation:

Given the linear equation, y = 3x + 8:

We must determine its inverse, which will enable us to find the point of intersection between the given equation and its inverse.

Start by switching x and y in the given linear equation:

y = 3x + 8

x = 3y + 8

Next, subtract 8 from both sides:

x - 8 = 3y + 8 - 8

x - 8 = 3y

Multiply both sides with ⅓ to isolate y:

⅓ (x - 8) = (3y) ⅓

Replace y with :

⇒ This is the inverse function of y = 3x + 8.

Next, we must graph both equations.

Plot the y-intercept, (0, 8), and use the slope of the given linear equation, m = 3, to plot other points on the graph.

Similarly, to graph the inverse function, take the y-intercept, , and use the slope, m = ⅓, to plot other points on the graph.

Attached is the graph of the linear equation, y = 3x + 8, and its inverse,   , where it shows that the point of intersection occurs at point, (-4, -4).

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.