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Kipish [7]
3 years ago
15

Put the numbers in order from smallest to largest.

Mathematics
1 answer:
AnnZ [28]3 years ago
3 0
In order of problems/numbers - 4, 3, 5, 6, 1, 2
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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
How do you write 10% as a fraction or mixed number in simplest form?
Harman [31]

1/10 in fraction from or 0.1 in decimal form

7 0
3 years ago
Read 2 more answers
1. What is the value of x? Show your work to justify your answer. (2 points)
Anarel [89]

Answer:


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
Nikolay [14]
The vertex would be (5, 27)
5 0
3 years ago
which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
sdas [7]

Answer:

Obtuse triangle.

Step-by-step explanation:

Side a = 5

Side b = 2

Side c = 4

Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad

Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad

Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad

Since one angle is above 90 degrees, the triangle is obtuse triangle.

This cannot be an acute triangle.

6 0
3 years ago
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