Theme and tone work together in that B) theme is a poem's main idea, and tone is the writer's attitude toward that idea.
Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
<u><em>Answer:</em></u>5n-4
<u><em>Explanation:</em></u><u>The given expression is:</u>

<u>1- Take the negative as a common factor from both the numerator and the denominator. This will give us:</u>

<u>2- Cancel out the negative sign (common factor) from the numerator and denominator. This will give us:</u>

<u>3- Factor the numerator. This wil give:</u>

<u>4- Finally, cancel out the (17n+19) which common in both numerator and denominator. This will give us the final expression:</u>
5n-4
Hope this helps :)
Answer:
You've picked the right one! It's the one you've marked in the picture!
Step-by-step explanation:
Multiplication is just like addition; you're just doing it multiple times instead of once. 3<em>x</em> is equal to <em>x</em> + <em>x</em> + <em>x</em>. That's exactly what the option you chose in the image shows. Great job! You've got this!
Using Vieta's Theorem, it is found that c = 72.
<h3>What is the Vieta Theorem?</h3>
- Suppose we have a quadratic equation, in the following format:

The Theorem states that:


In this problem, the polynomial is:

Hence the coefficients are
.
Since the difference of the solutions is 1, we have that:


Then, from the first equation of the Theorem:





Now, from the second equation:



To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978