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avanturin [10]
3 years ago
6

How do you solve this?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0
The equation makes no sense.
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Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.
mylen [45]

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

3 0
3 years ago
What are two factors of 12 whose sum is 7
Liono4ka [1.6K]

Answer:

Well it will be 7+5=12 and 6+6=12

Step-by-step explanation:

5 0
3 years ago
I needs help pleaeee
Verdich [7]
X=24

First you find the third side of the smaller triangle by using the Pythagorean theorem. You find that is it 100. Then you subtract that from 26 squared. After you get that, you square root the answer to get 24
7 0
3 years ago
Read 2 more answers
Sofia can type the work in 10 hours. Nova can do it in 15 hours. They work together for 4 hours, then Sofia and Nova finish the
AlladinOne [14]

Answer:

2 days.

Step-by-step explanation:

Let, Sofia can type the x amount of work in 10 hours.

So, in one hour Sofia can type \frac{x}{10} amount of work.

Again, Nova can type x amount of work in 15 hours.

So, in one hour Nova can type \frac{x}{15} amount of work.

Hence, if they work together, they can type \frac{x}{10} + \frac{x}{15} = \frac{6x + 4x}{60} = \frac{10x}{60} = \frac{x}{6} amount of work in one hour.

Therefore, working together they can type the x amount of work in \frac{x}{\frac{x}{6} } = 6 days.

So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)

6 0
3 years ago
Read 2 more answers
The ratio that is equivalent to 15:42?<br><br> A) 5: 12<br> B) 10:28<br> C) 36:48<br> D) 5:21
myrzilka [38]

Answer:

it's actually none of these.

Step-by-step explanation:

if we divide 15 by 3 we also have to divide 42 by 3. We end up with 5:14. 15 isn't divisible by any number other than 1, 3, 5, and 15.

8 0
2 years ago
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