Let's plug in the variables one by one.
6g - 2h
plug in 5 for g and 4 for h
6(5) - 2(4)
multiply
30 - 8
subtract
→ 22
20g
plug in 2 for g
20(2)
multiply
40
2(g + 1)
plug in 10 for g
2(10 + 1)
add
2(11)
multiply
→ 22
4g + 5h
plug in 1 for g and 4 for h
4(1) + 5(4)
multiply
4 + 20
add
24
Therefore, the answers that have a value of 22 are 6g - 2h and 2(g + 1)
for the formula is
Y = starting population x (1-rate of change)^number of years
2010-2001 = 9
Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people
The equation of the asymptote is 
Explanation:
The given equation is 
We need to determine the horizontal asymptote of the equation.
The given equation is of the exponential function of the form
and has a horizontal asymptote 
Hence, from the above equation, the value of k is 1.
Therefore, we have,

Thus, the horizontal asymptote is 
Therefore, the asymptote of the equation is 
The maximized value of the function is (c) 119/2
<h3>Maximization problem</h3>
Maximization problems are used to determine the optimal solution of a linear programming model
<h3>Objective function</h3>
The objective function is given as:

<h3>Constraints</h3>
The constraints are given as:



<h3>Graph</h3>
See attachment for the graph of the constraints
From the graph, the optimal solution is: (2.83, 2.83)
So, the maximized value is:



Approximate

Rewrite as a fraction

Hence, the maximized value of the function is (c) 119/2
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The sum of three even consecutive integers if the first integer is y will be 3y + 6.
First integer = y
Second integer = y + 2
Third integer = y + 4
Therefore, based on the expressions given above, the sum of the three integers will be:
= y + y +2 + y + 4
= 3y + 6
Therefore, the sum will be 3y + 6.
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