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3 years ago

Trying to work out this problem. can't find out what x is. 0.5(−2.5x − 4.7) = 16.9

1 answer:

6 0

So here you first want to open up the parenthesis by using the distributive property. (Is that what it's called)

So basically multiply each and every number by 0.5.

So 0.5 * -2.5x - 0.5 * 4.7 = 16.9

Is what you get after doing that.

And then just multiply the numbers

So

-1.25 * x - 2.35 = 16.9

Add 2.35 to both sides

-1.25 * x = 19.25

And then divide both sides by -1.25 to get

x = - 15.4

So there's your answer.

(Sorry I took so long btw)

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djverab [1.8K]

Answer:

37.699 cubic inches of water

Step-by-step explanation:

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2 years ago

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Read 2 more answers

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Natali5045456 [20]

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3 years ago

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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