Answer:
Part 1) The exponential function is equal to 
Part 2) The population in 2010 was   
 
Step-by-step explanation:
Part 1) Write an exponential decay function that models this situation
we know that
In this problem we have a exponential function of the form

where
y ----> the fish population of Lake Collins since 2004
x ----> the time in years
a is the initial value
b is the base
we have


substitute
 ----> exponential function that represent this scenario
 ----> exponential function that represent this scenario
Part 2) Find the population in 2010
we have
 
 
so
For 
substitute
 
 
 
        
             
        
        
        
Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. tan(105°)
 
        
        
        
Answer:
Ok,You need to put the value of x that appears in the table to give you the result of h (x)
1.h(x)=4x+5
h(-5)=4(-5)+5
h(-5)= -20+5
h(-5)= -15
2.h(-1)=4(-1)+5
   h(-1)= -4+5
   h(-1)= 1
3. h(1)=4(1)+5
    h(1)=4+5
    h(1)=9
4. h(3)=4(3)+5
    h(3)=12+5
    h(3)=17
5. h(4)=4(4)+5
     h(4)=16+5
     h(4)=21
Step-by-step explanation:
   x                  h(x)
 -5                    -15
 -1                       1
  1                       9
  3                      17
  4                      21
I hope this help.Please give me the brainliest
 
        
             
        
        
        
Answer:  If using complex numbers, or undefined if using all real numbers
 If using complex numbers, or undefined if using all real numbers
Step-by-step explanation:
Moving -8 to the left side of the eq by adding both sides by 8=
x^2-3x+8=0
The quad formula:
a=1 b=-3 c=8
Inserting a b c values into formula: 
Simplifying:  
 
 Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.
  Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined. 
OR
 Using complex numbers i, to replace the negative number created by subtracting 9-32.
 Using complex numbers i, to replace the negative number created by subtracting 9-32.
 
        
             
        
        
        
<h3>
Answer:   x+3</h3>
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Explanation:
Use a graphing tool like Desmos to plot y = |x+3|
See below.
The graph is a V shaped figure. The vertex is at (-3,0). The interval x > 5 is entirely to the right of this vertex. So we only focus on the right hand side of the V shape.
The line making up this right hand side is the equation y = x+3
Therefore, if x > 5 then y = |x+3| becomes y = x+3
In short, we erase the absolute value lines.