Respuesta :
Answer:
[tex] \huge{ \boxed{ \bold{ \text{46}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
[tex] \text{ \underline{ Given}} : \text{x = - 4}[/tex]
[tex] \text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}[/tex]
[tex] \text{ Plug \: the \: value \: of \: x}[/tex]
[tex]➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}[/tex]
➝[tex] \sf{12 + 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Evaluate \: the \: power}[/tex]
➝[tex] \text{12 + 2 * 16 + 2}[/tex]
[tex] \text{Multiply \: the \: numbers}[/tex]
➝[tex] \text{12 + 32 + 2}[/tex]
[tex] \text{Add \: the \: numbers}[/tex]
[tex]➝ \boxed { \text{46}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]