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ALGEBRA Evaluate each expression if f=-15,g=5 , and h=-45. 1. -20 / g= 2. 90 / h 3. h / f 4. fg / 25 5. f-h/10 6. g-5/-1 7. f+h/-g 8. -f / g 9. h-3g/f

User Nemo
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1 Answer

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Final Answer:

1. The expression -20 / g evaluates to -4 when g = 5.

2. When h = -45, the expression 90 / h becomes -2.

3. h / f equals 3 with h = -45 and f = -15.

4. The result of fg / 25 is -3 for f = -15 and g = 5.

5. (f - h) / 10 is 3 when f = -15 and h = -45.

6. The expression (g - 5) / (-1) simplifies to 0 with g = 5.

7. With f = -15, h = -45, and g = 5, (f + h) / (-g) equals 12.

8. -f / g results in 3 when f = -15 and g = 5.

9. When h = -45, g = 5, and f = -15, (h - 3g) / f evaluates to 0.

Step-by-step explanation:

Let's substitute the given values of f , g, and h into the expressions:

1. -20 / g

Substitute g = 5 :

-20 / 5 = -4

2. 90 / h

Substitute h = -45:

90 / (-45) = -2

3. h / f

Substitute h = -45 and f = -15 :

(-45) / (-15) = 3

4. fg / 25

Substitute f = -15 , g = 5 :

(-15 × 5) / 25 = -3

5. (f - h) / 10

Substitute f = -15, h = -45:

(-15 - (-45) / 10 = 3

6. (g - 5) / (-1)

Substitute g = 5 :

(5 - 5) / (-1) = 0

7. (f + h) / (-g)

Substitute f = -15, h = -45, g = 5:

(-15 + (-45) / (-5) = 12

8. -f / g

Substitute f = -15 , g = 5:

-(-15) / 5 = 3

9. (h - 3g) / f

Substitute h = -45, g = 5, f = -15 :

(-45 - 3 × 5) / (-15) = 0

So, the evaluated expressions are:

1. -4

2. -2

3. 3

4. -3

5. 3

6. 0

7. 12

8. 3

9. 0

User Manachi
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