Rewrite the fractions to have a common denominator to find the difference:
2/3 = 4/6
Difference = 4/6-5/6 = -1/6
Sequence formula = an = a1 + d(n-1)
A1 is the first term 5/6
And d = -1/6
Sequence = 5/6 -1/6(n-1)
Simplify to get an =(-n +6)/6
Answer:
y = 4
Step-by-step explanation:
For an exponential function in standard form
y = a
To find the values of a and b, use ordered pairs from the table
Using (0, 4 ), then
4 = a ( = 1 ), so
a = 4
y = 4
Using (1, 8 ), then
8 = 4 = 4b ( divide both sides by 4 )
2 = b
Thus
y = 4 ← exponential function
Answer:
Step-by-step explanation:
Answer:
As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
Step-by-step explanation:
Hope this helps :)
It appears that the Pythagorean theorem can be applied to this problem
(distance to shadow)² = (height of building)² + (length of shadow)²
(38 m)² = (height of building)² + (28 m)²
660 m² = (height of building)²
Then the height of the building is
height of building = √660 m ≈ 25.7 m