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dimaraw [331]
3 years ago
5

Which applies the power of a power rule to simplify the expression (8 Superscript 12 Baseline) cubed?

Mathematics
2 answers:
rodikova [14]3 years ago
7 1

Answer: (8^{12})^3=8^{12\times 3}=8^{36}

Step-by-step explanation:

Given :  the expression (8^{12})^3

We have to simplify the given  expression and choose the correct from the given options.

Consider the expression (8^{12})^3

Using property of exponents,

\left(a^b\right)^c=a^{b\times c}

We have,

(8^{12})^3=8^{12\times 3}=8^{36}

kow [346]3 years ago
5 0
Your answer is 12baseline
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Please help ASAP! i will mark brainliest
Kitty [74]

Use two pints on the graph to find the slope:

(0,0) and (5,1)

Slope = Change in Y over the change in x.

Slope = (1-0) / (5-0) = 1/5 = 0.20

The slope of the given equation is 0.25 which is greater than 0.20.

The unit rate is greater in the equation.

8 0
3 years ago
The graph of an exponential function is given. Which of the following is the correct equation of the function?
Effectus [21]
The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer. 

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork. 

7 0
2 years ago
Consider the graph of the function f(x) = 25
trasher [3.6K]

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

<h3>What are the horizontal asymptotes of a function?</h3>

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

  • f(x) = 2^x.
  • g(x) = 2f(x) = 2(2)^x

The limits are given as follows:

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty

Hence, the correct statement is:

Horizontal asymptote at y = 0.

More can be learned about horizontal asymptotes at brainly.com/question/16948935

#SPJ1

3 0
1 year ago
The lines of symmetry in a regular polygon are equal to the number of sides minus 2. True or False
galina1969 [7]

Answer:

False

Step-by-step explanation:

A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.

The $\text{number of lines}$ of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.

6 0
2 years ago
Help me please with 3-111
LenKa [72]

Last Question

Because this may not be the question you want, I'll omit the first step which should be done with latex. The key to all of these except C is to invert the second fraction (turn the second fraction upside down) and multiply.

A

\dfrac{6}{5} * \dfrac{-2}{3}

=(6*-2) / (5*3) = - 12/15 = -4/5

B

\dfrac{7}{4} *\dfrac{5}{3}

= (7*5) / (4*3) = 35 / 12 = 2 11/12

C

Impossible to do 4/0 cannot be done.

D

\dfrac{-2}{3} /\dfrac{-5}{4}=\dfrac{-2}{3} *\dfrac{-4}{5}

= (-2*-4)/(3*5) =

8/15


4 0
3 years ago
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