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ehidna [41]
3 years ago
12

F(n + 1) = f(n) – 3. If f(4) = 22, what is f(1)?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

f(1) = 31.

Step-by-step explanation:

f(n + 1) = f(n) - 3

So f(4) = f(3) - 3

22 = f(3) - 3

f(3) =  22 + 3 = 25

so  f(2) = 25 + 3 = 28

and f(1) = 28 + 3 = 31.

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A salesperson obtained a systematic sample of size 25 from a list of 500 clients. To do​ so, he randomly selected a number from
dangina [55]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

First term = 13

Increase each time = 20

Number of clients = 25

So, it forms an arithmetic progression:

So, 25 th term would be

a_{25}=a+(n-1)d\\\\a_{25}=13+(25-1)\times 20\\\\a_{25}=13+24\times 20\\\\a_{25}=13+480\\\\a_{25}=493

Hence, list would look like 13,33,............493.

Therefore, Option 'D' is correct.

3 0
3 years ago
Find g(a-2)+3g(2a) if g(x)=x²-5x+8
sertanlavr [38]

Answer:

13a² - 39a + 46

Step-by-step explanation:

To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.

g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22

3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24

Combine the values to find g(a-2)+3g(2a).

g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46

4 0
3 years ago
What does x and y =??????
Kazeer [188]

Answer:

x=30. y=60

Step-by-step explanation:

DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.

6 0
3 years ago
Can Someone explain how to do this?
zheka24 [161]
1 equals 2. So 2 would be 50 as well.
50+50=100
And there's 360 degrees in total so you'd then subtract 360-100= 260
Then divide by 2 since the other 2 angles are the same
260/2=130
1=50
2=130
3=130
Hope this makes sense! :)
6 0
3 years ago
Which ordered pair (x,y) is a solution to the following?
labwork [276]

Answer:

(-2,1)

Step-by-step explanation:

7 0
3 years ago
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