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vovangra [49]
3 years ago
6

4^2/4^6 Options: 4^-3 4^3 4^-4 4^4

Mathematics
2 answers:
Vlad [161]3 years ago
8 0
Hello!

The rule regarding the division of exponents states the following:

\frac{ B^{x} }{ B^{y} } = B^{x-y}

Insert any known values into the formula above:

\frac{ 4^{2} }{ 4^{6} } = 4^{2-6}

Simplify the expression:

4^{2-6} = 4^{-4}

We have now proven that \frac{ 4^{2} }{ 4^{6} } is equal to 4^{-4}.

I hope this helps!
ddd [48]3 years ago
7 0

Answer:

Hello!

The rule regarding the division of exponents states the following:

=

Insert any known values into the formula above:

=

Simplify the expression:

=

We have now proven that  is equal to .

I hope this helps!

Step-by-step explanation:

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F(x)=x^3 <br><br> If g(x) is the graph of f(x) shifted up 4 units write a formula for g(x)
N76 [4]

Answer:

g(x) = x^3 + 4

Step-by-step explanation:

Not much to explain -- g(x) is larger than f(x) by four units for every x.

Of course, to shift the graph down, subtract 4 units.

To get an even deeper understanding, think of how you'd do a left or a right shift of the graph.  

Here are the answers, but I'm not going to tell you which is a left shift, and which is a right shift:

g(x) = (x - 4)^3

g(x) = (x + 4)^3

If you can't do it in your head, try plotting a couple of points - don't guess.

5 0
3 years ago
What is the product? 6(x*2-1)(6x-1/6(x+1))
Yanka [14]
6(x^2-1)(6x-1/6(x+1))

On factoring (x^2-1)=(x+1)(x-1)

= 6(x-1)(x+1)(6x-1/6(x+1))
Cancelling (x+1) from numerator and denominator we get,

= 6(x-1)(6x-1)/6

Cancelling 6 we get,
= (x-1)(6x-1)
4 0
3 years ago
How many units are in between the distance of (−4, 9) and (−4, 3)?
Citrus2011 [14]

Answer:

There are 6 units between (-4, 9) and (-4, 3)

idk what the answers are for the others sorry

Step-by-step explanation:

yus

6 0
3 years ago
Read 2 more answers
heather writes the equations below to represent two lines drawn on the coordinate plane. –6x 18y = 0 4x – 12y = 20 after applyin
Tju [1.3M]

The <em><u>correct answer</u></em> is:

The equation has no solution; therefore, the system of equations has no solution.

Explanation:

When solving a system of equations, after we combine the equations, if we find that there is no solution, that means that there is no solution to the entire system of equations.

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3 years ago
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Aneli [31]

Answer:2/5 = 40%

Step-by-step explanation:

Bethany already one green apple out, and we have 3 green apples and 2 red ones, so, if we want to know what is the probability that the second apple is red we will apply the follow formula: x/n, being X the favorable cases and n the total of cases, in this problem X is 2, because we want to now the RED apples, and N is the total of apples, being n = 2 red apples + 3 green apples = 5, the formula now looks like this: 2/5=? , we resolve it by doing the division and multiplying for 100, (2/5)100 =40 and now we add a % symbol, (2/5)100=40%, and that´s the answer!

3 0
4 years ago
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