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disa [49]
3 years ago
15

Someone please help

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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What is the simplified base for the function f(x) = 2rootindex 3 startroot 27 endroot superscript 2 x?
VMariaS [17]

Applying exponential properties, the simplified base for the function is given as follows:

f(x) = 2(3)^{2x}

<h3>What is the function?</h3>

The function is represented by the following definition:

f(x) = 2\sqrt[3]{27^{2x}}

As an exponent, the function is given by:

f(x) = 2(27)^{\frac{2x}{3}}

27 can be simplified as follows:

27 = 3 x 3 x 3 = 3³

Hence:

f(x) = 2(3^3)^{\frac{2x}{3}}

Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:

f(x) = 2(3)^{\frac{3 \times 2x}{3}} = 2(3)^{2x}

Hence the simplified base for the function is given as follows:

f(x) = 2(3)^{2x}

More can be learned about exponential properties at brainly.com/question/25263760

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2 years ago
Given the point (2,3) and the slope of 4 ,find y when x=22
Mariulka [41]
Y - y₁ = m(x - x₁)
 y - 3 = 4(22 - 2)
 y - 3 = 4(20)
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4 years ago
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The product of a number w and 73
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W times 73 because product means multiply
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Simplify log(16x²) ± 2㏒(1÷×)
sp2606 [1]

Answer: just simplify condense it then your answer will be log(16)

8 0
3 years ago
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
Leto [7]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

 =>    y =  e^{9x} e^{c}

Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
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