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slava [35]
2 years ago
11

Three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1)= 6, f(4) = 12,f (7) =

18
f(n +1 ) =f(n) +6
f(n +1 )=2 f(n)
f(n +1) = f (n) +2
f(n + 1) = 1.5f(n)
​
Mathematics
1 answer:
valina [46]2 years ago
3 0

Answer: f(n+1) =f(n)+2

Step-by-step explanation:

I did the test

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Answer:

The Awnser Is C

Step-by-step explanation:

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Find the dicontinuities of the function. f(x) = x2 + 12x + 27 x2 + 4x + 3 . There is a removable discontinuity at (, ).
ValentinkaMS [17]

Solution-

f(x)=\frac{x^{2}+12x+27 }{x^{2} +4x+3} =\frac{x^{2}+9x+3x+27 }{x^{2} +3x+x+3}=\frac{(x+3)(x+9)}{(x+3)(x+1)}

Equating the denominator to 0,

⇒ (x+3)(x+1) = 0

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∴ Discontinuities of the function f(x) is at -3, -1

As (x+3) is also a factor of the numerator, you will have what's called a removable discontinuity. That will show up as a hole in the graph.

∴ At x = -3, you will have removable discontinuity.



4 0
2 years ago
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I have a map where indy and ft. Wayne are 3 centimeters apart. Kokomo and indy are 1.5 cm apart on the map. If i know that indy
marta [7]

Indy and kokomo will be 60 miles apart in real life.

<u><em>Explanation</em></u>

On the map, Indy and ft. Wayne are 3 cm apart and Kokomo and Indy are 1.5 cm apart.

So, <u>the ratio </u>of the distance between Indy and ft. Wayne to the distance between Kokomo and Indy will be:  3: 1.5 = 30:15= 2:1

Now, lets assume that real distance between Indy and ft. Wayne is  2x cm and real distance between Kokomo and Indy is  x  cm.

Given that, the real distance between Indy and ft. Wayne is 120 miles.

That means....

2x= 120\\ \\ x= \frac{120}{2}=60

So, Indy and kokomo will be 60 miles apart in real life.

3 0
2 years ago
A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes. Creat
emmainna [20.7K]

Answer:

y=-0.10x+60

Step-by-step explanation:

Let

y -----> gallons of water remaining in the barrel

x-----> number of minutes elapsed

we know that

Water leaks out of the barrel at a rate of 1 gallon every 10 minutes

so

1/10=0.10\frac{gal}{min}

The linear equation that represent this situation is  

y=-0.10x+60

The graph in the attached figure

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Answer: 6 1/6

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6 can go into 37 6 times

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2 years ago
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