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2 years ago

Is the ratio 375 miles to 15 gallons compare?

Mathematics

1 answer:

gavmur [86]2 years ago

6 0

Answer: yes

Step-by-step explanation:

375/15=25

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3 years ago

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Zack buys some oranges from a store. The oranges cost $4.00 for 2 pounds. He wants to buy more fruit, but at the same price per

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Find f'(x) and state the domain of f': f(x) = In (2x^2+1)

-Dominant- [34]

Answer:

$f'(x) = \frac{4x}{2x^2+1}$

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Derivative: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Derivative ln(u) [Chain Rule/Basic Power]: $f'(x) = \frac{1}{2x^2+1} \cdot 2 \cdot 2x^{2-1}$
Simplify: $f'(x) = \frac{1}{2x^2+1} \cdot 4x$
Multiply: $f'(x) = \frac{4x}{2x^2+1}$

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

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3 years ago

A company uses tow vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 a.m. one van has 6 m

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2 years ago

Plz helppp I don’t understand

Dmitrij [34]

Answer:

5+x=-4, =9

Step-by-step explanation:

5+x=-4 Write equation

-5 -5 Subtract 5 from both sides to isolate x

+x=-9

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3 years ago