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vivado [14]
3 years ago
11

The graphs of functions fand g are shown.

Mathematics
2 answers:
Vinil7 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

For all Plato users

andre [41]3 years ago
3 0

Answer:

c = 3

Step-by-step explanation:

Function g is defined as,

g(x) = f(x) - c

Which states that the image function 'g' is formed by shifting function 'f' by c units down along y-axis.

Since, function 'f' has been shifted 3 units down to form the image function 'g'.

Therefore, value of c = 3 will be the answer.

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What is the product of the two integer values for $x$ for which $|x^2 - 16|$ is a prime number?
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Answer:

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Step-by-step explanation:

x² -16 = (x -4)(x +4)

This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).

... For x-4 = ±1, x = 3 or 5

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The values of x that are ±3 both give |x²-16| = 7, a prime.

The values of x that are ±5 both give |x²-16| = 9, not a prime.

The two values of x that are of interest are x=-3 and x=3. Their product is ...

... (-3)·(3) = -9

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