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Kisachek [45]
3 years ago
13

Solve the following equation: (n + 1) + 3(n - 1) = 2(n - 1)(n + 1)​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Answer:

n = 0, n =2

Step-by-step explanation:

Given

(n + 1) + 3(n - 1) = 2(n - 1)(n + 1) ← distribute parenthesis on both sides

n + 1 + 3n - 3 = 2(n² - 1), that is

4n - 2 = 2n² - 2 ( subtract 4n - 2 from both sides )

0 = 2n² - 4n ← factor out 2n from each term )

0 = 2n(n - 2)

Equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

n - 2 = 0 ⇒ n = 2

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Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A secon
bazaltina [42]
Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
6 0
3 years ago
What is the average rate of change for this function for the interval from x= 1
Usimov [2.4K]

Answer:

  C. 8

Step-by-step explanation:

The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (1, 2) and (3, 18), the average rate of change is ...

  m = (18 -2)/(3 -1) = 16/2 = 8

The average rate of change between x=1 and x=3 is 8.

8 0
2 years ago
PLEASE HURRY I NEED MY WORK TO BE SHOWN!!!!! 15 POINTS!!! CORRECT ANSWERS ONLY PLEASE!!!
Harlamova29_29 [7]

Answer:

f(-4) = 72, f(x + 5) = 3x² + 23x + 36

Step-by-step explanation:

f(-4) = 3(-4)² - 7(-4) - 4

      = 48 - (-28) - 4

f(-4) = 72

f(x + 5) = 3(x + 5)² - 7(x + 5) - 4

           = 3(x + 5)(x + 5) - 7(x + 5) - 4

           = 3(x² + 10x + 25) - 7(x + 5) - 4

           = 3x² + 30x + 75 - 7x - 35 - 4

f(x + 5) = 3x² + 23x + 36

4 0
3 years ago
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vladimir1956 [14]
The answer would be 0.8
6 0
2 years ago
What's the circumference of a<br> circle with a radius of 2 inches?<br> Use 3.14 for pi
erma4kov [3.2K]

Answer:

6.28

Step-by-step explanation:

2 x 3.14

8 0
3 years ago
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