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Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
48 is the average speed
he uses 7.3 dollars per hour
6.6 per mile
21.7 gallons per mile
3.20 dollars per gallon of gas
these are the answers I could get
Answer:
0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Answer:
5b - 5a
Step-by-step explanation:
b(5 - a) = 5b - ab
- a(b - 5) = - ab + 5a
Subtracting gives
5b - ab - (- ab + 5a) ← distribute parenthesis by - 1
= 5b - ab + ab - 5a ← collect like terms
= 5b - 5a
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:
The area of the triangle is given by the following formula:
Where "b" is the base and "h" is its height. Replacing the values:
The total area is the sum of both areas:
replacing the areas:
