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3 years ago

8

For Matthew's lemonade recipe, 4 lemons are required to make 6 cups of lemonade. At what rate are lemons being used in cups of l

emonade per lemon?

1 answer:

Svetlanka [38]3 years ago

3 0

Answer:

1.5 cups of lemonade per 1 lemon

Step-by-step explanation:

find the unit rate:

4/4=1

6/4=1.5

1.5 cups of lemonade per 1 lemon

I hope I read this correctly

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3 years ago

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate<br> f'(-2.4).<br> f'(-2.4)

lora16 [44]

Answer:

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General Formulas and Concepts:
<u>Algebra I</u>

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.

<u>Step 1: Define</u>

<em>Identify.</em>

f(-2.4) = -1

f(-1.9) = -8

<u>Step 2: Differentiate</u>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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

Unit: Differentiation

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