Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day. answers (x) = 86(1.08)7x; grows approximately at a rate of 5.6% daily f(x) = 86(1.087)x; grows approximately at a rate of 0.56% daily f(x) = 86(1.01)x; grows approximately at a rate of 0.1% daily f(x) = 86(1.01)7x; grows approximately at a rate of 1% daily

g(x) = 86·1.011055^x

Step-by-step explanation:

So we don't confuse ourselves, we'll call the growth function by day g(x). If x is to represent days, then x/7 represents weeks, and we can write ...

g(x) = f(x/7) = 86·1.08^(x/7)

g(x) = 86·(1.08^(1/7))^x

g(x) = 86·1.011055^x

69

step-by-step explanation:

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: