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Dmitry_Shevchenko [17]
3 years ago
13

Find f(-2) for f(x) = 2(4)x . will give brainliest for correct answer ​

Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

D

Step-by-step explanation:

This questions asks use to find what f(x) or y is, when x is equal to -2.

So, substitute -2 in for x in the equation.

f(x)=2(4)^x

f(-2)=2(4)^-2

Evaluate the exponent. Negative exponents follow this rule:

b^-x= 1/b^x

We have 4^-2. This will become 1/4^2 or 1/16

f(-2)=2(1/16)

Multiply

f(-2)=2/16

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

f(-2)=2/2 / 16/2

f(-2)= 1/8

The correct choice is D. 1/8

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3 years ago
Find the value of x.
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Mila [183]

Given : Anne buys 600 packets of mints.

Given : Of these 600 packets of mints, 34% are small packets and 40% are large packets.

:\implies  Total % of small and large packets is (34 + 40) = 74%

It means : The remaining percentage is of the medium packets of mints which were brought by Anne.

:\implies  % of medium packets brought by Anne : (100 - 74) = 26%

:\implies \textsf{Number of medium packets brought by Anne : $\left(\dfrac{26}{100} \times 600\right)$}

:\implies \textsf{Number of medium packets brought by Anne : $\left(26 \times 6\right)$ = 156}

Given : Ben buys 400 packets of mints.

\textsf{Given : Of these 400 packets of mints, $\dfrac{3}{10}$ are small and $\dfrac{1}{10}$ are large}

\implies \textsf{Total fraction of small and large packets brought by Ben :$\left(\dfrac{3}{10} + \dfrac{1}{10}\right)$}

It means : The remaining fraction is of the medium packets of mints which were brought by Ben.

\implies \textsf{Fraction of medium packets brought by Ben : $\left(1 - \dfrac{3}{10} - \dfrac{1}{10}\right)$}

\implies \textsf{Fraction of medium packets brought by Ben : $\left(1 - \dfrac{4}{10}\right)$ = $\dfrac{6}{10}$}

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Given : Chas buys 210 small packets of mints.

Given : Number of small packets : number of medium packets = 3 : 4

\implies \mathsf{\dfrac{210}{number \ of \ medium \ packets} = \dfrac{3}{4}}

\implies \mathsf{Number \ of \ medium \ packets = \left(210 \times \dfrac{4}{3}\right)}

\implies \textsf{Number of medium packets brought by Chas = 280}

Total number of medium packets of mints brought by these three shop keepers (Anne, Ben, Chas) are :

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