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3 years ago

Which of the sets of ordered pairs represents a function?

Mathematics

1 answer:

Hitman42 [59]3 years ago

7 0

Answer:

Both A and B

Step-by-step explanation:

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Find a power series representation for the function. (Assume a>0. Give your power series representation centered at x=0 .)

melamori03 [73]

Answer:

Step-by-step explanation:

Given that:

$f_x = \dfrac{x^2}{a^7-x^7}$

$= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}$

$= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}$

since $\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)$

Then, it implies that:

$\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}$

$\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}$

7 0

3 years ago

Solve for x in the equation C = 8.5x + 6y. Show all work.

GarryVolchara [31]

C = 8.5x + 6y

Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)

8.5x + 6y = C

Subtract 6y from both sides of the equation

8.5x + 6y - 6y = C - 6y

8.5x = C - 6y

Divide both sides of the equation by 8.5

(8.5x/8.5) = (C - 6y)/8.5

x = (C - 6y)/8.5

I hope this helped.

7 0

3 years ago

Help please. i am terrible with fractions.<br><br> 2/3 - (1/4) * (4/9)

s2008m [1.1K]

Ok so first following the order of opperation (P.E.M.D.A.S.)
We have to multiply first so 1/4*4/9 is 4/36
2/3-4/36
We have to get them both to have the same denominator
What times 3 is 36? 12
So multiply 2*12 and 3*12 you get
24/36-4/36=5/9(simplified)

7 0

3 years ago

Read 2 more answers

Need in depth explanation please

zysi [14]

Answer:

Y = 18

X = 9

Step-by-step explanation:

all the steps are in the picture. comment if you have any doubts.

4 0

2 years ago

Solve the system using an equivalent system

DerKrebs [107]

Add y to both sides in 1st equation
-2x=y
sub -2x for y in2nd equation
3x-(-2x)=10
3x+2x=10
5x=10
divide 5
x=2

sub back
-2x=y
-2(2)=y
-4=y

(x,y)
(2,-4)
C is ans

8 0

3 years ago