What is the value of A when we rewrite 1.44^(-1.2 x) as A^(x) ? Choose 1 answer: (A) A=(144)/(12) (B) A=1.44^(-1.2) (C) A=1.44^(1.2) (D) A=12^(24 x)

Understand the problem: Understand the problem. We need to express the function 1.44^(-1.2 x) in the form of A^(x), where A is a constant.Rewrite function: Rewrite the given function in the required form. We have 1.44^(-1.2 x) and we want it to be in the form A^(x). To find A, we need to isolate the base of the exponent such that the exponent is just x.Identify base: Identify the base A. Since the exponent in the given function is -1.2x, we can equate A to 1.44 raised to the power of -1.2 to get the base in terms of x. A = 1.44^(-1.2)Match choices: Match the expression for A with the given choices. Looking at the choices provided, we see that choice (B) A=1.44^(-1.2) matches our expression for A.

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What is the value of
A when we rewrite
1.44^(-1.2 x) as
A^(x) ?
Choose 1 answer:
(A)
A=(144)/(12)
(B)
A=1.44^(-1.2)
(C)
A=1.44^(1.2)
(D)
A=12^(24 x)

What is the value of $A$ when we rewrite $1.44^{-1.2 x}$ as $A^{x}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $A=\frac{144}{12}$ $\newline$ (B) $A=1.44^{-1.2}$ $\newline$ (C) $A=1.44^{1.2}$ $\newline$ (D) $A=12^{24 x}$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. What is the value of

A

when we rewrite

1.44^{-1.2 x}

A^{x}

\newline

Choose

1

answer:

\newline

(A)

A=\frac{144}{12}

\newline

(B)

A=1.44^{-1.2}

\newline

(C)

A=1.44^{1.2}

\newline

(D)

A=12^{24 x}

Understand the problem: Understand the problem. $\newline$ We need to express the function $1.44^{-1.2 x}$ in the form of $A^{x}$ , where $A$ is a constant.
Rewrite function: Rewrite the given function in the required form. $\newline$ We have $1.44^{(-1.2 x)}$ and we want it to be in the form $A^{(x)}$ . To find $A$ , we need to isolate the base of the exponent such that the exponent is just $x$ .
Identify base: Identify the base $A$ . $\newline$ Since the exponent in the given function is $-1.2x$ , we can equate $A$ to $1.44$ raised to the power of $-1.2$ to get the base in terms of $x$ . $\newline$ $A = 1.44^{-1.2}$
Match choices: Match the expression for $A$ with the given choices. $\newline$ Looking at the choices provided, we see that choice (B) $A=1.44^{-1.2}$ matches our expression for $A$ .