Answer:
17
Step-by-step explanation:
To evaluate the expression substitute x = - 1 and y = 3 into it
3(- 3)² - 2(- 1) - 12
= 3 × 9 + 2 - 12 = 27 + 2 - 12 = 29 - 12 = 17
[tex]\text{Hey there!}[/tex]
[tex]3\text{y}^2-2\text{x}- 12, \text{ if x = -1 \& y = 3}[/tex]
[tex]\text{Your equation is now:\ }3(3)^2 - (-1) - 12[/tex]
[tex]\text{You can solve this by doing PEMDAS (Parentheses, Exponents, Multiplication}\\\text{Division, Addition, Subtraction), There's other methods too!}[/tex]
[tex]\text{We can eliminate \bf{Parentheses}}\text{ because we don't have any in here.}\\\text{Check for \bf{Exponents}}\text{ we have it, so we can use that first to solve.}[/tex]
[tex]3^2 = 3\times3 = \bf{9}[/tex]
[tex]\text{New equation: 3(9) - 2(-1) - 12}[/tex]
[tex]\text{Thirdly, check to see if you have any \bf{multiplication.}}\\\text{ We have it, so that is our next step.}[/tex]
[tex]\text{3(9) = 27}[/tex]
[tex]\text{2(-1) = -1}[/tex]
[tex]\text{Our new equation is: 27 - (-2) - 12}[/tex]
[tex]\text{Fourthly, let's check to see if we have any\bf{ division}.}\text{ We don't have}\\\text{ any so move on to the next on which is \bf{addition.}}\\\text{We don't have any of that either. Move on to the last part of it, which is}}\\\text{\bf{subtraction.}}\text{ We have that one. So let's use it for our next step. }[/tex]
[tex]\text{27 - (-2) - 12}[/tex]
[tex]\text{27 - (-2) = 27 + 2 = 29}[/tex]
[tex]\text{29 - 12 = \bf{17}}[/tex]
[tex]\boxed{\boxed{\bf{Answer: 17}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
