Using the data above, how many people would be expected to live in Japan if the proportion of people to square miles were the sa

me in Japan as in the United States?

Mathematics

1 answer:

iogann1982 [59]4 months ago

7 0

$\begin{gathered} For\text{ United States} \\ d=\frac{309,000,000}{3,717,811}=83.11 \\ For\text{ Japan} \\ d=83.11 \\ 83.11=\frac{People}{145,883} \\ Solving\text{ People} \\ People=(83.11)(145,883) \\ People=12,124,336 \\ The\text{ number of people in Japan is 12,124,336} \end{gathered}$

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Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways: