Question

Don't understand this question

Answer 1

Determining the input value of 19, we get 2/3 as an output after evaluating on the given polynomial.

Explanation:

Equation:

`\cfrac{2}{3} = - \cfrac{1}3x + 7`

Find the value of x

• 
  `\cfrac{2}{3} - 7 = - \cfrac{1}{3} x`

• 
  `\cfrac{2 - 21}{3} = - \cfrac{ 1}{3}`

• 
  `\cfrac{-19}{3} = \cfrac{ - 1}{3} x`

• 
  `\cfrac{ \cfrac{ \cancel- 19}{ \cancel3} }{ \cancel- \cfrac{1}{ \cancel3} } = x`

• 
  `x = 19`

Value of x is 19.

Checking:

When Evaluating x = 19 on the polynomial,

• f(x) = -1/3 x + 7
• f(19) = -1/3(19) + 7
• f(19) = -19/3 + 7
• f(19) = -19 + 21 /3
• f(19) = 2/3

Answer 2

19

Explanation:

Multiplying both sides of the equation by -3, we get an answer of 19