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If h(x)=−2x+10, what is the value of x when h(x)=1?

Respuesta :

discipulus

Answer:

[tex]h(x) = - 2x + 10 \\ 1 = - 2x + 10 \\ 2x = 10 - 1 \\ 2x = 9 \\ \boxed{x = \frac{9}{2} }[/tex]

renknee

Answer:

4.5

Step-by-step explanation:

Step 1: Plug in 1 for h(x).

  • [tex]1 = -2x + 10[/tex]

Step 2: Flip the equation.

  • [tex]-2x + 10 = 1[/tex]

Step 3: Subtract 10 from both sides.

  • [tex]-2x + 10 - 10 = 1 - 10[/tex]
  • [tex]-2x = -9[/tex]

Step 4: Divide both sides by -2.

  • [tex]\frac{-2x}{-2}=\frac{-9}{-2}[/tex]
  • [tex]x = 4.5[/tex]

Step 5: Check if solution is correct.

  • [tex]h(4.5) = -2(4.5) + 10[/tex]
  • [tex]h(4.5) = -9 + 10[/tex]
  • [tex]h(4.5) = 1[/tex]

Therefore, x = 4.5.

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