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2 years ago

Factorise 14e-16 Please explain

Mathematics

1 answer:

rosijanka [135]2 years ago

5 0

The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)

<h3>How to factor the expression 14e - 16?</h3>

The expression is given as:

14e - 16

Express both terms as a product of 2

14e - 16 = 2 * 7e - 2 * 8

Factor out 2 in the expression

14e - 16 = 2 * (7e - 8)

Remove the product sign

14e - 16 = 2(7e - 8)

Hence, the factored expression of 14e - 16 is 2(7e - 8)

Read more about factored expressions at:

brainly.com/question/723406

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3 years ago

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3 years ago

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

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General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

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3 years ago