Graphs of Quadratic Relationships: Mastery Test Graphs of Quadratic R...
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The number of ducks, in hundreds, in a residential area is modeled in the graph shown, where x is the number of years since 2002.
1,400
1,200
1,000
800
Number of Ducks
600
400
200
0
X
2 4 6 8 10 12 14
Years Since 2002
What does the y-intercept represent?
А.
the minimum number of ducks
OB
the rate of change in the number of ducks
c.
the number of years when the number of ducks was decreasing
OD.
the number of ducks in 2002

nada

step-by-step explanation:

15: 24

62.5%

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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