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mixer [17]
2 years ago
12

The range of the function given below is the set of all positive real numbers greater than 7. F(x) = 7 + 3x A. True B. False

Mathematics
2 answers:
lianna [129]2 years ago
8 0
True. 3x is always greater than 0 so 7 +3x is always greater than 7.
lord [1]2 years ago
6 0

Answer:

Option A. True

Step-by-step explanation:

Range of the function f(x)=7+3^{x} is defined by the values of F(x) by plugging in the values of x in the function.

In other words when we graph the function as

x            1         2        3      4

F(x)       10      16       30    88

Then the x values define the domain of the given function and values of f(x) define the range.

Therefore, range of the given function will be all positive real numbers greater than 7.

Option A. is the answer.          

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<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

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<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

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