Solve system of equation y=x^2+3x+1,y=-x-3

x = -2

y = -1

Step-by-step explanation:

y = x² + 3x + 1       y = -x -3

Set the equations equal to each other:

x² + 3x + 1 = -x - 3

Move all terms to one side:

x² + 3x + x + 1 + 3 = 0

x² + 4x  + 4 = 0

factor:

(x + 2)² = 0

take square root of both sidesL

x + 2 = 0

subtract 2 from both sides:

x = -2

Plug -2 in for x in either of the equations:

(-1)²+3(-1)+1 = y

y = -1

c) yes, because of asa or aas

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.