The function f(x) = 2(3)x represents the growth of a dragonfly population every year in a remote swamp. rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. which function is correct for rose's purpose, and what is the new growth rate? f(x) = 2(3)x; growth rate 200% f(x) = 2(1.17)7x; growth rate 17% f(x) = 2(3)x, growth rate 2% f(x) = 2(1.17)x; growth rate 2%

Answer : option B

The function represents the growth of a dragonfly population every year.

Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. So function becomes

In exponential function , , where 'r' is the growth rate

1 + r = 1.17

r = 0.17

So growth rate = 0.17= 17%

; growth rate 17%

the 4th choice is the correct one

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.