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Likurg_2 [28]
3 years ago
7

Marcela is shopping for a new winter coat. She finds a coat that is regularly priced at $60 on sale for 25% off. Use the model t

o determine how much money Marcela saves by purchasing the coat on sale.

Mathematics
2 answers:
Margaret [11]3 years ago
7 0

Answer: Marcela saves $15 and spends $45.

Step-by-step explanation: 25% is one set of the 4 sets of $5 on the model. If you remove that one set you remove $15 and have $45 left.

Gnesinka [82]3 years ago
7 0

Answer:

She saved 15 dollars

Step-by-step explanation: If you know that 15x4 is 60 then she saved 15 dollars because 25 times 4 is 100.

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3 years ago
Urgent. Please show all work
myrzilka [38]

Answer:

\displaystyle f'(x) = \frac{4}{x^2}

General Formulas and Concepts:

<u>Calculus</u>

Limits

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

Differentiation

  • Derivatives
  • Derivative Notation

The definition of a derivative is the slope of the tangent line:                             \displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle f(x) = -\frac{4}{x}

<u>Step 2: Differentiate</u>

  1. [Function] Substitute in <em>x</em>:                                                                            \displaystyle f(x + h) = -\frac{4}{x + h}
  2. Substitute in functions [Definition of a Derivative]:                                   \displaystyle f'(x) = \lim_{h \to 0} \frac{-\frac{4}{x + h} - \big( -\frac{4}{x} \big)}{h}
  3. Simplify:                                                                                                        \displaystyle f'(x) = \lim_{h \to 0} \frac{4}{x(x+ h)}
  4. Evaluate limit [Limit Rule - Variable Direct Substitution]:                          \displaystyle f'(x) = \frac{4}{x(x+ 0)}
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∴ the derivative of the given function will be equal to 4 divided by x².

---

Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

---

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

Unit: Differentiation

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