The slope of the line passing through the pair of points (-3,5) and (2,4)
2 answers:
You might be interested in
Answer:
The percent change in runs batted in from 2001 to 2008 is 26.47%
Step-by-step explanation:
The number of runs chipper batted in the year 2001 = 102 runs
The number of runs chipper batted in the year 2008 = 75 runs
Here, so the Change in the runs batted
= Runs Batted in year 2001 - Runs batted in the year 2008
= 102 runs - 75 runs = 27 runs
Now, The percentage change in the run =
=
or, The percentage change = 26.47%
Hence, the percent change in runs batted in from 2001 to 2008 is 26.47%
Answer:
Step-by-step explanation:
Given : The fuel efficiency of car = 7.6 km per kilogram
We also given that
1 mile = 1.609 km
Then,
1 gallon = 3.785 liters
1 liter of gasoline = 0.729 kg
Then,
Now, the fuel efficiency of car will be :
Hence, the car’s fuel efficiency in miles per gallon= 4.5
Answer:
See attached for graphs
g(x) -- domain: -∞ < x < ∞; range: 0 < y < ∞
g^-1(x) -- domain: 0 < x < ∞; range: -∞ < y < ∞
Step-by-step explanation:
g(x) is an exponential decay function. Its base is 1/3, so each increase of 1 unit in x will multiply the y-value by a factor of 1/3. The graph will rapidly approach its horizontal asymptote of y=0 as x gets large. The y-intercept is (0, 1). Just as y gets smaller as x increases, so it gets larger as x decreases. Each decrease of x by 1 unit causes the y-value to be multiplied by 3.
__
The graph of g^-1(x) is the graph of g(x) reflected across the line y=x. That is, each coordinate pair (x, y) on the graph of g(x) becomes a point (y, x) on the graph of the inverse function. In order to graph g^-1(x), you don't need to write down the function, you only need to know the relationship between the graphs.
Just as x- and y- are interchanged on the graph, so the domain, range, and intercepts are interchanged. g^-1(x) will have a vertical asymptote of x=0, and an x-intercept of (1, 0). The domain of g^-1(x) is the range of g(x): 0 < x < ∞; and the range of g^-1(x) is the domain of g(x): -∞ < y < ∞.
__
The attached graph shows g(x) in red and g^-1(x) in blue. As you can see, we created the graph simply by interchanging x and y. The line y=x is shown for reference, so you can see that each curve is a reflection of the other across that line.
_____
<em>Additional comment</em>
The explicit expression for g^-1(x) can be found by solving for y:
x = g(y)
If you're familiar with the log function, you know it has an x-intercept of 1 and a vertical asymptote at x=0. The base of the log function is simply a vertical scale factor. The minus sign reflects it across the x-axis.
