Find a linear equation whose graph is the straight line with the given property.

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

Step-by-step explanation:

-5.25+2.25 - 3

1-0.5 = 0.5

=-6 =m

y=-6x

You might be interested in

Between 11 P.M. and 8:54 A.M., the water level in a swimming pool decreased by 11/20. Assuming that the water level decreased a

lisabon 2012 [21]

1 each hour 20-11=9 there is 9 hours between 11pm and 8:54am so 1 per each hour hope that it helped ;)

6 0

2 years ago

What percent increase is 21% over 76%

Neporo4naja [7]

Answer:= 261.905% increase

Solution:
Calculate percentage change
from V1 = 21 to V2 = 76
(V2−V1)|V1|×100
(V2−V1)|V1|×100
=(76−21)|21|×100
=(76−21)|21|×100
=5521×100
=5521×100
=2.61905×100
=2.61905×100
=261.905%change
=261.905%change
=261.905%increase

3 0

2 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$