Respuesta :
The equation according to the given verbal sentence is [tex]\frac{2 t+2}{2 s^{3}}[/tex] (after solving this [tex]\frac{t+1}{s^{3}}[/tex] ).
Step-by-step explanation:
Rewrite the given verbal sentence and so it will be easier to translate.
Given: The quotient of the sum of 2 t and 2 and twice the cube of s
sum of 2 t and 2 can be written as
2 t + 2
twice the cube of s
[tex]2 s^{3}[/tex]
Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,
2 t + 2 divided by [tex]2 s^{3}[/tex]
Now, the equation would be [tex]\frac{2 t+2}{2 s^{3}}[/tex]
When solving this equation, we get
[tex]\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}[/tex]
The quotient of the sum of 2t and 2 and twice the cube of s is [tex]\frac{t + 1}{s^3} [/tex].
The given parameters:
- First number = 2t
- Second number = 2
- Third number = s
The sum of 2t and 2 is written as follows;
sum = 2t + 2
The cube of s is written as follows;
cube = s³
twice the cube of s = 2s³
The quotient of the sum of 2t and 2 and twice the cube of s is calculated as follows;
[tex]= \frac{2t + 2}{2s^3} \\\\ = \frac{2(t + 1)}{2s^3}\\\\ = \frac{t + 1}{s^3} [/tex]
Learn more about quotient here: https://brainly.com/question/11418015