The equation of the piecewise function is 
<h3>The piecewise function</h3>
On the graph, we have:
- y = 3 for all x values not more than -1
- y = -1 for all values greater than 2
Hence, the piecewise function is:

<h3>The domain of the function</h3>
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>
This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
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Let us assume the number of turtles = x
Then
Number of frogs = x + 4
Number of crayfish = 2x + 3
Total number of turtles and crayfish = 54
Then we can write the equation as
x + 2x + 3 = 54
3x + 3 = 54
3x = 54 - 3
3x = 51
x = 51/3
= 17
Then
The number of frogs = x + 4
= 17 + 4
= 21
So there are 21 frogs in the pond that has been counted by Ramon.
Y-x =17
y = -x + 17
substitute this into the second equation
y = 4x + 2
-x + 17 = 4x + 2
0= 5x -15
15/5 = 5x/5
3 = x
The answer tour question is D
28. The ratio of games they won to total games played = 12: 14 = 6: 7.
29. Max's pay rate is 9.50 dollars per hour.
30. The value of n is 9.
Step-by-step explanation:
Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.
The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.
Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.
Money earned per hour =
= $9.50. So Max's pay rate per hour is $9.50.
Step 3; The given proportion is
=
, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side
n =
× 12 =
× 12 =
= 9.