Select one of the factors of 3x2 10x 3

Factors of the polynomial are (3x + 1) and (x + 3).

Step-by-step explanation:

The given polynomial is 3x² + 10x + 3 and we have to factorize the expression.

To solve this question we multiply the coefficient of highest degree term and the constant as 3×3 = 9 and now we will split it in a way that (9 + 1 = 10) which is the coefficient of second term of the polynomial.

3x² + 10x + 3 = 3x² + 9x + x + 3

=3x( x + 3) + 1( x + 3) = (3x + 1)(x + 3)

Therefore two factors of the polynomial are (3x + 1) and ( x + 3).

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.