Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h

Respuesta :

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

1. gh

The two numbers are being multiplied

Putting the values

[tex]gh = (-7)(3) = -21[/tex]

2. g^2-h

Putting the values

[tex]=(-7)^2-3\\=49-3\\=46[/tex]

3. g+h^2

Putting the values

[tex]= -7 + (3)^2\\=-7+9\\=2[/tex]

4. g+h

Putting the values

[tex]= -7+3\\=-4[/tex]

5. h-g

Putting the values

[tex]= 3 - (-7)\\=3+7\\=10[/tex]

6. g-h

Putting values

[tex]=-7-3\\=-10[/tex]

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Answer:

1) - 21

2) 46

3) 2

4) -4

5) 10

6) -10

Step-by-step explanation:

  • g = -7
  • h = 3

[tex]1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21[/tex]

[tex]2){g}^{2} - h = ( - 7 {)}^{2} - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46[/tex]

[tex]3)g + {h}^{2} = - 7 + {3}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2[/tex]

[tex]4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4[/tex]

[tex]5)h - g = 3 - ( - 7) \\ \: \: = 10[/tex]

[tex]6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10[/tex]