The awnser to your question is 32 hope i helped
Answer:
x = 1
Step-by-step explanation:
Given
3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides
3x - 6 + 2 = 5x - 15 + 9
3x - 4 = 5x - 6 ( subtract 5x from both sides )
- 2x - 4 = - 6 ( add 4 to both sides )
- 2x = - 2 ( divide both sides by - 2 )
x = 1
Given:
Dividing a number by 2 always results in a smaller number.
To find:
The counterexample to the given claim.
Solution:
If 0 is divided by is divided by any non-zero real number
, then

Let us consider the unknown number be 0. Then dividing a number by 2, we get

Here, the result is not a smaller number because
.
Therefore, the counterexample to the given claim is "Dividing 0 by 2".
We have the following:

solving:
![\begin{gathered} 10x^2-x+9=0 \\ 10x^2-x+9-9=-9 \\ 10x^2-x=-9 \\ \frac{10}{10}x^2-\frac{x}{10}=-\frac{9}{10} \\ x^2-\frac{x}{10}+(-\frac{1}{20})^2=-\frac{9}{10}+(-\frac{1}{20})^2 \\ (x-\frac{1}{20})^2=-\frac{359}{400}\rightarrow(x-\frac{1}{20})=\sqrt[]{-\frac{359}{400}} \\ x=\frac{1}{20}+i\frac{\sqrt{359}}{20} \\ x=\frac{1}{20}-i\frac{\sqrt{359}}{20} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2010x%5E2-x%2B9%3D0%20%5C%5C%2010x%5E2-x%2B9-9%3D-9%20%5C%5C%2010x%5E2-x%3D-9%20%5C%5C%20%5Cfrac%7B10%7D%7B10%7Dx%5E2-%5Cfrac%7Bx%7D%7B10%7D%3D-%5Cfrac%7B9%7D%7B10%7D%20%5C%5C%20x%5E2-%5Cfrac%7Bx%7D%7B10%7D%2B%28-%5Cfrac%7B1%7D%7B20%7D%29%5E2%3D-%5Cfrac%7B9%7D%7B10%7D%2B%28-%5Cfrac%7B1%7D%7B20%7D%29%5E2%20%5C%5C%20%28x-%5Cfrac%7B1%7D%7B20%7D%29%5E2%3D-%5Cfrac%7B359%7D%7B400%7D%5Crightarrow%28x-%5Cfrac%7B1%7D%7B20%7D%29%3D%5Csqrt%5B%5D%7B-%5Cfrac%7B359%7D%7B400%7D%7D%20%5C%5C%20x%3D%5Cfrac%7B1%7D%7B20%7D%2Bi%5Cfrac%7B%5Csqrt%7B359%7D%7D%7B20%7D%20%5C%5C%20x%3D%5Cfrac%7B1%7D%7B20%7D-i%5Cfrac%7B%5Csqrt%7B359%7D%7D%7B20%7D%20%5Cend%7Bgathered%7D)
The answer is the last option