SOLUTION: here are 2 expressions:- a: x^2 + x - 3 b: y^3 - 2y + 6 substitute in these numbers to evaluate the expressions 3, -3, 0.5, 0.35

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Question 52219: here are 2 expressions:-
a: x^2 + x - 3
b: y^3 - 2y + 6
substitute in these numbers to evaluate the expressions
3, -3, 0.5, 0.35

Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!

here are 2 expressions:-
a: x^2 + x - 3
b: y^3 - 2y + 6
substitute in these numbers to evaluate
the expressions
3, -3, 0.5, 0.35

a: 

1.             x² + x - 3

Everywhere you see an x there, replace 
it by (-3) 

         (-3)² + (-3) - 3

Now (-3)² means to multiply (-3) times 
(-3). That gives +9, so replace the 
(-3)² by 9
      
             9 + (-3) - 3

Now 9 + (-3) gives +6 so replace the 
"9 + (-3)" by 6

                    6 - 3

Now replace 6 - 3 by 3, and that's the 
answer,

                        3

----------------------------------------------

2.                 x² + x - 3

Everywhere you see an x there, replace 
it by (0.5) 

         (0.5)² + (0.5) - 3

Now (0.5)² means to multiply (0.5) times
(0.5). That gives +0.25, so replace the 
(0.5)² by 0.25
      
             0.25 + (0.5) - 3

Now 0.25 + (0.5) gives +0.75 so replace 
the "0.25 + (0.5)" by 0.75

                    0.75 - 3

Now replace 0.75 - 3 by -2.25, and that's 
the answer,

                        -2.25

----------------------------------------------------

3.                 x² + x - 3

Everywhere you see an x there, replace it 
by (0.35) 

         (0.35)² + (0.35) - 3

Now (0.35)² means to multiply (0.35) times
(0.35). That gives +0.1225, so replace the 
(0.35)² by 0.1225
      
             0.1225 + (0.35) - 3

Now 0.1225 + (0.35) gives +0.4725 so replace 
the "0.1225 + (0.35)" by 0.4725

                    0.4725 - 3

Now replace 0.4725 - 3 by -2.5275, and that's 
the answer,

                        -2.5275

========================================================

b: 

1.              y³ - 2y + 6

Everywhere you see a y there, replace it by 
(-3) 

         (-3)³ - 2(-3) + 6

Now (-3)³ means to multiply (-3) times (-3) 
times (-3). That gives
-27, so replace the (-3)³ by -27
      
           -27 - 2(-3) + 6

Now - 2(-3) gives + 6 so replace " - 2(-3) " 
by "+ 6"

               -27 + 6 + 6

Now -27 + 6 gives -21 so replace the 
"-27 + 6" by -21

                   -21 + 6

Now replace -21 + 6 by -15, and that's 
the answer,

                       -15

----------------------------------------------

2.                
                  y³ - 2y + 6

Everywhere you see a y there, replace it 
by (0.5) 

           (0.5)³ - 2(0.5) + 6

Now (0.5)³ means to multiply 
(0.5) times (0.5) times (0.5). That gives
+0.125, so replace the (0.5)³ by 0.125
      
             0.125 - 2(0.5) + 6

Now - 2(0.5) equals - 1 so replace the 
" - 2(0.5) " by " - 1 " 

               0.125 - 1 + 6

Now 0.125 - 1 gives -0.875 so replace the 
"0.125 - 1" by -0.875

                    -0.875 + 6

Now replace -0.875 + 6 by 5.125, and that's 
the answer,

                        5.125

----------------------------------------------------

3.                    y³ - 2y + 6

Everywhere you see an y there, replace it 
by (0.35) 

         (0.35)³ - 2(0.35) + 6

Now (0.35)³ means to multiply (0.35) times 
(0.35) times (0.35). That gives
+0.042875, so replace the 
(0.35)³ by 0.042875
      
             0.042875 - 2(0.35) + 6

Now - 2(0.35) gives - 0.7 so replace the
- 2(0.35) by -0.7

                 0.042875 - 0.7 + 6

Now 0.042875 - 0.7 gives -0.657125 so replace 
the "0.042875 - 0.7" by -0.657125

                  -0.657125 + 6

Now replace -0.657125 + 6 by 5.342875, and 
that's the answer,

                        5.342875

Edwin