Question

I’m really confused please help me

Answer 1

`(9)/(2)`

or

`4.5`

depending if you want a decimal number or a fraction

Explanation:

start replacing based on what you're given:

`s = (10)( (1)/(2) ) + ( - 2)( (1)/(2) ) ^(2)`

at this point is just crunching numbers:

`s = 5 - (1)/(2) = (9)/(2) = 4.5`

Answer 2

`s=(19)/(4)`

Explanation:

Given:

• 
  `u = 10`
• 
  `a = -2`
• 
  `t = (1)/(2)`

Substitute the given values into the given formula and solve for s:

`\implies s=ut+(1)/(2)at^2`

`\implies s=(10)\left((1)/(2)\right)+(1)/(2)(-2)\left((1)/(2)\right)^2`

`\implies s=(10)/(2)-(2)/(2)\left((1)/(4)\right)`

`\implies s=5-(1)/(4)`

`\implies s=(20)/(4)-(1)/(4)`

`\implies s=(19)/(4)`

Solution

`\textsf{Improper fraction}: \quad s=(19)/(4)`

`\textsf{Mixed number}: \quad s=4(3)/(4)`

`\textsf{Decimal}: \quad s=4.75`