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3 years ago

Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 2^2x

Mathematics

1 answer:

Nookie1986 [14]3 years ago

3 0

Answer:

a) This is not an exponential function because the variable is in the exponent position.

c) The base is 4 not 2.

Step-by-step explanation:

The given function is $f(x) = (2)^{2x} = 4^{x}$ ........... (1)

a) This is not an exponential function because the variable is in the exponent position.

c) The base is 4 not 2.

The general form of an exponential function is given by $f(x) = A(B)^{x}$ , where A is the initial value of the function and B is the base. (Answer)

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What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3

lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

$V=5,676.16\ cm^3$

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

$V=(Area\ of\ base)\times (length)$

Here, the base is triangular and the area of a triangle is:

$A=\frac{1}{2}base \times height$

Therefore, the volume of the triangular prism is given as:

$V=\frac{1}{2}(base\times height\times length)$

Now, plug in the given values and solve for the volume 'V'.

$V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3$

Therefore, the correct answer is the third option.

$V=5,676.16\ cm^3$

7 0

3 years ago

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What is 1/5 the speed of a cat

olga55 [171]

I dont get it. Sorry

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What is the effect on the graph of the function f(x) =^8x when f(x) is replaced with f(x − 2)?

docker41 [41]

Answer:

f(x - 2) = 8x - 16

Step-by-step explanation:

f(x) = 8x

f(x - 2) = 8(x - 2)

f(x - 2) = 8x - 16

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Arte-miy333 [17]

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