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3 years ago

Write a recursive rule for an= Зn — 6.

Mathematics

1 answer:

mart [117]3 years ago

8 0

Answer:

Explicit formula: a(n)=3n-6

Recursive formula: a(n)=-3+(n-1)3 <--

Step-by-step explanation:

a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3

<u>Plug values into recursive formula:</u>

a(n)=a1+(n-1)d

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

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What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv

Gnoma [55]

Answer:

The equation of line is:

$8x-9y=-23$

Step-by-step explanation:

We are given that a graph is a that passes through two points:

$(-4,-1)$ and $(\dfrac{1}{2},3)$

We know that the equation of line passing through two points:

$(a,b)$ and $(c,d)$ is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Here we have:

$(a,b)=(-4,-1)$ and $(c,d)=(\dfrac{1}{2},3)$

Hence, the equation of line is:

$y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23$

Hence the equation of line is:

$8x-9y=-23$

5 0

3 years ago

Domain of f(x)=(1/4)^x

ANEK [815]

Answer: B

Step-by-step explanation:

The domain of a function is the set of x-values.

6 0

2 years ago

If d is 55 degrees then what is F and E degrees. Explain how you know

kipiarov [429]

Answer:

F=55

E=70

Step-by-step explanation:

The total degree of a triangle is 180.

So we have 180-55*2

E=180-110

E=70

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3 years ago

Multiply (x^2 - 3x + 4)(-2x^2 + 4x - 1) <br><br>Show the steps on how to solve please.

Firdavs [7]

-2x^4 + 10x^3 - 21x^2 + 19x - 4

that should be the right answer

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2 years ago

2x+36<4 wht is tha answer?

Daniel [21]

Answer: x<-16

Step-by-step explanation:

8 0

3 years ago