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Contact [7]
4 years ago
11

Factor the expression by taking out the GCF. 3x - 9x3

Mathematics
1 answer:
Sholpan [36]4 years ago
4 0

Consider the expression 3x-9x^3. It consists of two terms:

3x=3\cdot x

and

-9x^3=-3\cdot 3\cdot x\cdot x\cdot x.

The common factors in these terms are 3 and x. Then

GCF(3x,-9x^3)=3x.

Taking out the GCF, you obtain

3x-9x^3=3x(1-3x^2).

Answer: correct choice is B.

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Which of the following is true for the rational function f(x) = x-16/x-4 ?
Ratling [72]
 <span>First of all, F is true because (16 - 16)/(16 - 4) = 0. It just means when you plug in that number (16) you'll get 0. This will NOT happen for 4 because the 0 is in the denominator. 

Look what happens if you have x = 4. This gives you 12/0, which is undefined. For some graphs, this is a hole, but let's look closer. 

What happens if you have x = 3.9? You'll have 12.1/0.1. 3.9999? 12.0001/0.0001. The closer you get to 4, the closer you'll get to y = infinity. 

But what if you have 4.1? 11.9/-0.1. You'll get the same results, but NEGATIVE infinity. So it is NOT a hole in the graph. 

If you draw it out, you'll see that there is a vertical asymptote at x = 4. 

B and F are true. 

As for horizontal asymptotes, look at it like this: y = 16-16/16 - 4 means y = 0. There is no asymptote here. Try subbing in 1 = (x -16)/(x - 4). 
Multiply by x - 4 on both sides 
x - 4 = x - 16 
There is no solution here; there will be an asymptote, so D is also true. 

B, D, and F are true. ,"yahoo answers"//////////////////if i get busted at least i put down my main source (you know what I'm saying)</span>
5 0
3 years ago
Read 2 more answers
you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill
alekssr [168]

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

4 0
4 years ago
The temperature has been going down at a constant rate. In 3 hours it went down 15degrees. Which expression best shows the tempe
Vlada [557]
Y=X-5 because if you algebraically find the rate per hour, you get 5.
7 0
4 years ago
If y=4 when x=12, find y when x=-24
goldfiish [28.3K]

The value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

<h3>What is a proportional relationship?</h3>

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?

y ∝ x  (given)

y = kx

k is the constant of proportionality.

4 = 12k  (y = 4, and x = 12)

k = 1/3

y = x/3

Plug x = -24

y = -24/3

y = -8

Thus, the value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ1

3 0
2 years ago
The first transformation for this composition is
sukhopar [10]

Answer:

Reflection over M.

Step-by-step explanation:

The first transformation is a reflection  across the line M

6 0
4 years ago
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