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Brrunno [24]
3 years ago
12

Determine the inverse of f(x)=3x+4 algebraically

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

1/3x +4

is the inverse of f(x) = 3x + 4.

Check:

The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.

1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1

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A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay factor, b? 0.79 0.21 79 21
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What is 5/7 minus 1/2 equal to in like units
WARRIOR [948]

Answer:

3/14

Step-by-step explanation:

5/7 minus 1/2 is 5/7 - 1/2

5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators

5/7 - 1/2

Step one

Find the lowest common multiple (LCM) of the denominators of each fractions

Multiples of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

Multiples of 2

2 x 1 = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

The lowest common multiple of 2 and 7 is 14

Step 2

The LCM of 2 and 7 becomes the common denominator for both fractions.

14/7 = 2

14/2 = 7

5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14

= 3/14

8 0
3 years ago
In a paint factory, an old conveyer line has filled 50 barrels of paint, and is filling more at a rate of 2 barrels per minute.
bezimeni [28]

Answer:

60 barrels

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y = # of barrels; x = minutes

worker: y = 12x

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12x = 2x + 50

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x = 5

y = 12(5) = 60

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60 barrels

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2 years ago
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Divide each side by 2 1/4 to get x by itself. The answer is -24 < x and the sign didn't change because we didn't divide by a negative.

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