The value of x such that f(x) = g(x) is x = 3
<h3>Quadratic equation</h3>
Given the following expressions as shown
f(x) = x^3-3x^2+2 and;
g(x) = x^2 -6x+11
Equate the expressions
x^3-3x^2+2 = x^2 -6x+11
Equate to zero
x^3-3x^2-x^2+2-11 = 0
x^3-3x^2-x^2 + 6x - 9 = 0
x^3-4x^2+6x-9 = 0
Factorize
On factorizing the value of x = 3
Hence the value of x such that f(x) = g(x) is x = 3
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The book value of the equipment is $14000
Given,
equipment cost = $20,000
depreciation amounts = $6,000
book value of the equipment = equipment cost - depreciation cost
= 20000 - 6000
= $14000
<h3>What Are Depreciation Expenses?</h3>
Depreciation expense, on the other hand, is the amortized portion of the cost of the business's fixed assets during a certain period. Depreciation expense is recognized in the income statement as a non-cash expense that reduces the net income or profit of the business. For accounting purposes, depreciation expense is debited and accumulated depreciation is credited.
Depreciation expenses are treated as non-cash expenses because periodic monthly amortization is not involved in cash transactions.
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Answer:
Equation → 5y = 3y + 6
Value of ST = 15
Step-by-step explanation:
From the picture attached,
In right triangles ΔVST and ΔVUT,
Acute angles ∠SVT ≅ ∠UVT [Given]
TV ≅ TV [By reflexive property of congruence]
ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]
Therefore, corresponding parts of the congruent triangles are congruent.
Therefore, ST ≅ TU
5y = 3y + 6
5y - 3y = 6
2y = 6
y = 3
Therefore, ST = 5y
ST = 5(3)
= 15
