Suppose the g(x)=f(x+8)+4. Which statement best compare the graph of g(x) with the graph of f(x)?

1 answer:

8 0

In the translation of graph,
the image is
g(x)=f(x-h)+k
where
h=translation to the right
k=translation upwards.

For the given transformation,
g(x)=f(x-(-8))+4
we see that h=-8, k=+4
so we conclude that g(x) is a translation of f(x) 8 units to the left, and 4 units up.

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In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues,

Reptile [31]

Answer:

Final population after 10 years

= 288911718

Step-by-step explanation:

Present population p = 258,316,051

Rate of growth R%= 1.12%

Number of years t= 10 years

Number of times calculated n = 10

Final population A

= P(1+r/n)^(nt)

A= 258,316,051(1+0.0112/10)^(10*10)

A= 258,316,051(1+0.00112)^(100)

A= 258,316,051(1.00112)^100

A= 258,316,051(1.118442762)

A= 288911717.6

Approximately A= 288911718

Final population after 10 years

= 288911718

7 0

3 years ago

Evaluate the expression x - 7, if x = 12. 19 17 6 5

SpyIntel [72]

Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.

Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.

So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.

So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.

If $x = 12$ , the expression becomes $12-7$ and it evaluates to $5$ .