If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)? x3 – x2 –x3 +
1 answer:
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Answer:
Sqrt32 = 4, Sqrt28 = 2
, Sqrt12 = 2
Step-by-step explanation:
Square root of 32:
First we find the prime factors of the number by making a factor tree.
32 splits into 8 and 4.
8 splits into 4 and 2
4 splits into 2 and 2
4 splits into 2 and 2
This becomes the square root of x
x 2. It will simplify to:
4
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2
The curves of the labor market are illustrations of demand and supply, and the curves are all linear functions
<h3>4.1: The graph of the curves of the labor market</h3>The equations are given as:
D = 36 - 2W
S₁ = 9 + W ---- domestic (i.e. without immigrants)
S₂ = 10 + 2W ---- total (i.e. including immigrants)
See attachment for the graph
<h3>4.2: The equilibrium wage rate before immigration</h3>This is the point of intersection between the curves of S₁ and D.
From the graph, we have:
(W, D) = (9,18)
Hence, the equilibrium wage rate before immigration is $9, and the number of workers that would be hired is 18
<h3>4.3: The equilibrium wage rate after immigration</h3>This is the point of intersection between the curves of S₂ and D.
From the graph, we have:
(W, D) = (6.5,23)
Hence, the equilibrium wage rate after immigration is $6.5, and the number of workers that would be hired is 23
<h3>4.3.1: Number of domestic workers hired</h3>Substitute 6.5 for W in S₁ = 9 + W
S₁ = 9 + 6.5
S₁ = 15.5
Remove decimal
S₁ = 16
Hence, the number of domestic workers that would be hired is 16
<h3>4.3.1: Number of immigrants hired</h3>Substitute 6.5 for W in S₂ = 10 + 2W
S₂ = 10 + 2 * 6.5
S₂ = 23
Subtract S₁ = 16 from S₂ = 23
Immigrants = 23 - 16
Immigrants = 7
Hence, the number of immigrants that would be hired is 7
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