Give the final factored form of the expression. Provide an explanation AND identify the type of factoring used.x2 – 9y2
You don't have to identify the type of factoring used, but I need help with the rest, please and thank you.

Answers

Answer 1

Answer: $(x^2-9y^2)=\n(x^2-(3y)^2)=\n(x-3y)(x+3y)\n\n(a^2-b^2)=(a-b)(a+b)\n$

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What is the missing term in the geometric sequence? -6,24 ,? ,384,-1536a.-204
b.-144
c.-96
d.-7

Answers

assume the missing sequence is x
so -1536 / 384 = x / 24
so x = (24* - 1536) / 384
so x = -96
the answer is C. -96

the precise and accurate answer is c which is a negative integer which is -96

Identify the asymptotes.
y=1/x-6

Answers

Horizontal asymptote
y=1x−6
limx→∞=1/x−6

=(1/x) / [(x/x)−6/x]

=0 / 1

= 0

The function is also undefined at x=6. So there is a vertical asymptote at x=6.

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Which of the following options is an equivalent function to f(x) = 4(3)2x?A: F(x)= 36x
B:F(x)=4(9)
C: F(x)=144x
D:F(x)=4(6x)

Answers

Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

$f(x)=4(3)2x$

$f(x)=24x$

In option D,

$f(x)=4(6x)\n\nf(x)=24x$

Otherwise ,

In all other options , there is no other function whose value comes out to be 24x.

Like , in option b,

$f(x)=4(9)=36x$

which is not equivalent to

$f(x)=4(3)2x$

Hence, option D is correct.

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