Answer:
(a) 
(b) Domain: 
<em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When 
When 
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<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
Well they both have integers in it there the same thing except your adding and subtracting. <span>Subtraction is the same thing as adding the opposite of the number. </span>
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Answer:
80.7 because you multiply
We conclude that the measure of that angle is 150 degrees.
<h3>
How to get the measure of angle BFE?</h3>
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
If you want to learn more about angles:
brainly.com/question/17972372
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