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Setler79 [48]
3 years ago
10

For exponential functions which of the following expression is equal to [f(3)]^4]

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

F(3*4)

Step-by-step explanation:

Let\ exponential\ function\ F(x)=a^x\\\\F(3)=a^3\\\\\{F(3)\}^4=\{a^3\}^4\\\\\{F(3)\}^4=a^{3\times 4}...........eq(1)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ (m^n)^k=m^{nk}\\\\Now\ F(3*4)=a^{3\times 4}.......eq(2)\\\\From\ eq1\ and\ eq2\\\\\{F(3)\}^4=F(3\times 4)\\\\\{F(3)\}^4=F(3*4)

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Do you think a polynomial can be a factor of another polynomial?
Vladimir [108]

Answer:

Yes

Step-by-step explanation:

Example

x+2 is a factor of 2x+4.

2(x+2) = 2x+4.

6 0
3 years ago
HELP AGAIN PLEASE I TRIED IT ON MY OWN AND FAILED :(
Alex787 [66]

Answer:  ∠ J = 62° , ∠ K = 59° , ∠ L = 59°

<u>Step-by-step explanation:</u>

It is given that it is an Isosceles Triangle, where L J ≅ K J

It follows that ∠ K ≅ ∠ L

         ⇒ 5x + 24 = 4x + 31

         ⇒   x + 24 =         31

         ⇒   x         =           7

Input the x-value into either equation to solve for  ∠ K &  ∠ L:

∠ K = 5x + 24

      = 5(7) + 24

      = 35 + 24

       = 59

∠ K ≅ ∠ L  ⇒   ∠ L = 59

Next, find the value of  ∠ J:

∠ J +  ∠ K +  ∠ L = 180    Triangle Sum Theorem

∠ J  +   59  +  59 = 180

∠ J          + 118     = 180

∠ J                       = 62

8 0
3 years ago
Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va
andrew11 [14]

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

1(x^{2} ?6x+9)-9+14

Upon completing the square and combining like terms we will get,

1(x?3)^{2} +5

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

8 0
3 years ago
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3 0
3 years ago
What answer to this question?
horrorfan [7]

Answer:

221

Step-by-step explanation:

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4 0
3 years ago
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