Answer:
If you reduce this to the lowest terms you get 4/9
Step-by-step explanation:
In order to simplify the fraction 32/72, you can divide each term by 8.
32/8 = 4
72/8 = 9
Therefore, we get 4/9
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:


Multiply both sides of the equation by 20, the lowest common denominator of 5,4,2.

Add 4 and 3 to get 7.

Use the distributive property to multiply −4 times x 4/7.

Multiply −4 by 4/7.
![\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(2\times2+1) \ \ \to \ \ [Multiply \ 2\times2] } \end{gathered}$}](https://tex.z-dn.net/?f=%5Clarge%5Cdisplaystyle%5Ctext%7B%24%5Cbegin%7Bgathered%7D%5Csf%20%5Cbf%7B-4x-7%3D10%282%5Ctimes2%2B1%29%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5BMultiply%20%5C%202%5Ctimes2%5D%20%7D%20%20%5Cend%7Bgathered%7D%24%7D)
![\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10(4+1) \ \ \to \ \ [Add] } \end{gathered}$}](https://tex.z-dn.net/?f=%5Clarge%5Cdisplaystyle%5Ctext%7B%24%5Cbegin%7Bgathered%7D%5Csf%20%5Cbf%7B-4x-7%3D10%284%2B1%29%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5BAdd%5D%20%7D%20%20%5Cend%7Bgathered%7D%24%7D)
![\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x-7=10\times5 \ \ \to \ \ [Multiply] } \end{gathered}$}](https://tex.z-dn.net/?f=%5Clarge%5Cdisplaystyle%5Ctext%7B%24%5Cbegin%7Bgathered%7D%5Csf%20%5Cbf%7B-4x-7%3D10%5Ctimes5%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5BMultiply%5D%20%7D%20%20%5Cend%7Bgathered%7D%24%7D)

Add 7 to both sides.
![\large\displaystyle\text{$\begin{gathered}\sf \bf{-4x=-50+7 \ \ \to \ \ [Add] } \end{gathered}$}](https://tex.z-dn.net/?f=%5Clarge%5Cdisplaystyle%5Ctext%7B%24%5Cbegin%7Bgathered%7D%5Csf%20%5Cbf%7B-4x%3D-50%2B7%20%5C%20%5C%20%5Cto%20%5C%20%5C%20%5BAdd%5D%20%7D%20%5Cend%7Bgathered%7D%24%7D)

Divide both sides by −4.

The fraction
can be simplified to
by removing the negative sign from the numerator and denominator.

simplify

<h2>{ Pisces04 }</h2>
Answer:
answer is option B
Step-by-step explanation:
ok the equation is 2/3 x +9 = 15
if we substract 9 from both sides it becomes, 2/3x +9-9 = 15-9.
2/3x = 6
now if we multiply both sides by the reciprocal of 2/3 ( reciprocal means flip it for example receprocal or 2/3 is 3/2)
we multiply both side by reciprocal ie,
2/3 x 3/2 which is 1 because the 3 on the numerator cancels with the 3 on the deniy and the 2 on the numerator cancels with 2 on the denominator. then you are left with only x on the left side.
x = 6 x 3/2 = 18/2 = 9.