The equation 3x + 4 = 5x - 4 has the solution set {4}.
a. explain why the equation (3x + 4) + 4 = (5x - 4) + 4 also has the solution set {4}.

Why the equation (3x + 4) + 4 = (5x - 4) + 4 also has the solution set {4}.

It´s because 4 is the only value that satisfies the statement.

Step-by-step explanation:

As you can see the terms in parentheses on both sides of the equation are added to 4.

 (3x + 4) + 4 = (5x - 4) + 4

So we can set the equation as.

 3x + 4 = 5x - 4

 Subtract 3x on both sides of equation.

 4 = 2x - 4

 Add 4 on both sides of equation.

 8 = 2x

 Divide both sides of equation by 2.

 4 = x

 4 is the only value that satisfies the statement.

i don't see any steps below, sweetheart

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.