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Inga [223]
3 years ago
12

I need the answers and stuff

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0
2.25
32
29.3
not sure about the last one
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I don’t understand this someone pls help me! (Question 10)
Likurg_2 [28]

Answer:

  a. f(n) = n(n+1)/2

  b. 351

  c. 19

  d. no; n would not be an integer for f(n) = 17.

Step-by-step explanation:

a. The terms are 1, 3, 6, 10, ...

Each term has the term number added to the previous term. That is, first differences are 3-1 = 2, 6-3 = 3, 10-6 = 4. These differences have a constant difference of 1.

When the 2nd differences are constant, a 2nd degree polynomial can describe the sequence. It is a little bit of trouble to find that polynomial.

For the polynomial ...

  f(n)=an^2+bn+c

We can substitute values for n and f(n) to get 3 equations in 3 unknowns:

  1=a\cdot1^2+b\cdot1+c\\\\3=a\cdot2^2+b\cdot2+c\\\\6=a\cdot3^2+b\cdot3+c

Solving these equations by your favorite method gives ...

  (a, b, c) = (1/2, 1/2, 0)

That is, the function representing the relationship is ...

  f(n) = n(n+1)/2 . . . . the function describing the relationship

__

b. f(26) = 26(27) = 13(27) = 351 . . . . the number of squares in term 26

__

c. The number of the term having 190 squares can be found by solving ...

  n(n +1)/2 = 190

  n(n +1) = 380 = 19(20)

The 19th term will have 190 squares.

__

d. Terms 5 and 6 are 15 and 21.

17 is not the value of one of the terms in this sequence.

6 0
3 years ago
HELPPPP PLZzzzzzzzzzzzz
AleksandrR [38]
On scientific thing that can be solved through the use of technology is Pollution.
5 0
3 years ago
6p + 1m = $9<br><br> 4p + 2m = $8
Monica [59]
You can multiply 6p + m = 9 by -2 so you gonna have -12p - 2m = -18 then you can say : -12p - 2m = -18 ⇒ -8p = -10 ⇒ p = 10/8 ⇒ p = 1.25  
                 4p + 2m = 8 
so now you can find the m : 6 * 1.25 + m = 9 ⇒ 7.5 + m = 9 ⇒ m = 9 - 7.5 ⇒ m= 1.5 :)))
i hope this is helpful 
have a nice day 
5 0
3 years ago
Read 2 more answers
Which equation can be used to solve the problem? 75 percent of what number is 150? asap
shutvik [7]

Answer:

200

Step-by-step explanation:

Multiplying both sides by 100 and dividing both sides by 75,we have x = 150 ×  

100/75

x = 200

4 0
3 years ago
Read 2 more answers
Please help!! thank you
uysha [10]

Answer: It would be E

Step-by-step explanation:

6 0
3 years ago
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