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nevsk [136]
3 years ago
11

4) Given: f(x) = 4x – 1 g(x)= 3x - 2

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Step-by-step explanation:

f(x) = 4x - 1

g(x) = 3x - 2

1) f(x) + g(x) = (4x - 1) + (3x - 2)

= 4x - 1 + 3x - 2

= 4x + 3x -1 - 2 = 7x - 3

2) f(x) * g(x) = (4x - 1) * (3x - 2)

= 12x^2 - 8x - 3x + 2

= 12x^2 -11x + 2

3) f(g(x)) = 4(3x - 2) - 1

= 12x - 8 - 1

= 12x - 9

4) f(x) - g(x) = (4x - 1) - (3x - 2)

= 4x - 1 - 3x + 2

= 4x - 3x - 1 +2

= x + 1

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Answer:

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When a number is decreased by 7.5%, the result is 61. What is the original number to the nearest tenth?
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Answer: It's 65.9

Step-by-step explanation:

<h3>decreased by 7.5%</h3>

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4 0
3 years ago
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4 0
3 years ago
Read 2 more answers
Mr Nersin likes to ride his bike. He rode for 1/2 hour. After a short rest, he rode 1/10 hour more. He traveled 4 miles in all.
vodomira [7]
The distance traveled by Mr.Nersin = 4 miles
The time for which Mr.Nersin rode first = 1/2 hour
The time for which Mr.Nersin rode after a short rest = 1/10 hour
Then
The total time for which Mr.Nersin rode = (1/2) + (1/10) hour
                                                                = (5 + 1)/10 hour
                                                                = 6/10 hour
                                                                = 3/5 hour
So
Average speed of Mr. Nersin = Distance traveled / Time taken
                                                = 4/(3/5) miles/hour
                                                = (4 * 5)/3 miles/hour
                                               = 20/3 miles/hour
                                                = 6 2/3 miles/hour
                                                = 6.67 miles per hour
So the average speed at which Mr.Nersin traveled is 6 2/3 or 6.67 miles per hour.
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3 years ago
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