Question

Evaluate each expression for g = -7 and h = 3 and match it to its value.

Answer 1

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

$gh = (-7)(3) = -21$

2. g^2-h

Putting the values

$=(-7)^2-3\\=49-3\\=46$

3. g+h^2

Putting the values

$= -7 + (3)^2\\=-7+9\\=2$

4. g+h

Putting the values

$= -7+3\\=-4$

5. h-g

Putting the values

$= 3 - (-7)\\=3+7\\=10$

6. g-h

Putting values

$=-7-3\\=-10$

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 2

Answer:

1) - 21

2) 46

3) 2

4) -4

5) 10

6) -10

Step-by-step explanation:

• g = -7
• h = 3

$1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21$

$2){g}^{2} - h = ( - 7 {)}^{2} - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46$

$3)g + {h}^{2} = - 7 + {3}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2$

$4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4$

$5)h - g = 3 - ( - 7) \\ \: \: = 10$

$6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10$