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4 years ago

Which number is a factor of the prime factorrization of 60

Mathematics

2 answers:

andrey2020 [161]4 years ago

6 0

Answer:

Use a factor tree to Express 60 as a product of prime factors. So the prime factorization of 60 is 2×2×3×5. The actual prime factors of 60 are 2,3, and 5

Mekhanik [1.2K]4 years ago

3 0

Answer:

2, 3, 5

Step-by-step explanation:

$60 = 2 \times 2 \times 3 \times 5$

2, 3 and 5 are the prime factors of 60

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Answer:

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Step-by-step explanation:

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3 years ago

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Implicit differentiation Please help

Anvisha [2.4K]

Answer:

$y''(-1) =8$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Factoring

Calculus

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Quotient Rule: $\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

Step 2: Differentiate Pt. 1

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Implicit Differentiation [Product Rule/Basic Power Rule]: $-y - xy' - 2y' = 0$
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[Algebra] Factor y': $y'(-x - 2) = y$
[Algebra] Isolate y': $y' = \frac{y}{-x-2}$
[Algebra] Rewrite: $y' = \frac{-y}{x+2}$

Step 3: Find y

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Factor y: $y(-x - 2) = -4$
Isolate y: $y = \frac{-4}{-x-2}$
Simplify: $y = \frac{4}{x+2}$

Step 4: Rewrite 1st Derivative

[Algebra] Substitute in y: $y' = \frac{-\frac{4}{x+2} }{x+2}$
[Algebra] Simplify: $y' = \frac{-4}{(x+2)^2}$

Step 5: Differentiate Pt. 2

Find 2nd Derivative

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[Derivative] Simplify: $y'' = \frac{8}{(x+2)^3}$

Step 6: Find Slope at Given Point

[Algebra] Substitute in x: $y''(-1) = \frac{8}{(-1+2)^3}$
[Algebra] Evaluate: $y''(-1) =8$

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3 years ago

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Aleksandr-060686 [28]

we know that the multiplication comes first in the family then we start from left to right

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Leviafan [203]

Start by getting one of the equations in terms of one variable, in this case lets put the first equation in terms of y

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3 years ago

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lys-0071 [83]

Step-by-step explanation:

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