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Darina [25.2K]
3 years ago
7

Choose a number line to model the following situation: Pedro deposited $35 in his savings account, then withdrew $50.

Mathematics
2 answers:
OlgaM077 [116]3 years ago
7 0
The answer is D

Pedro added $35, then took away $50 dollars, which graph D shows. Graph B also shows this, however it's in the wrong order, making it incorrect
geniusboy [140]3 years ago
7 0

Answer:

Option D is true

Step-by-step explanation:

Given :Pedro deposited $35 in his savings account, then withdrew $50.

To Find : Choose a number line to model the following situation

Solution:

Initial Balance = $35

He withdraw amount = $50

Amount left = 35-50= -15

So, he withdrew 35 the deposited and extra 15 which makes the account balance negative

So, Option D is true

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Find the derivative using the limit process of f (x) = - 10x
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Answer:

\frac{d}{dx} f(x) =-10

General Formulas and Concepts:

<u>Calculus</u>

  • Derivative Notation
  • Definition of a Derivative: \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -10x

<u>Step 2: Find Derivative</u>

  1. Substitute:                         \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10(x + h)-(-10x)}{h}
  2. Distribute -10:                    \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h-(-10x)}{h}
  3. Distribute -1:                      \frac{d}{dx} f(x)= \lim_{h \to 0} \frac{-10x -10h+10x}{h}
  4. Combine like terms:         \frac{d}{dx} f(x)=  \lim_{h \to 0} \frac{-10h}{h}
  5. Divide:                               \frac{d}{dx} f(x)=  \lim_{h \to 0} -10
  6. Evaluate:                           \frac{d}{dx} f(x)=-10
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