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rodikova [14]
4 years ago
6

The function F(x) = 6x-2/x+5 is an example of a rational function. True or False?

Mathematics
1 answer:
kiruha [24]4 years ago
3 0

Answer:

True

Step-by-step explanation:

we know that

A <u>rational function</u> is the ratio of two polynomials, in which the denominator has a degree of at least 1 . In other words, there must be a variable in the denominator.

In this problem we have  

f(x)=\frac{6x-2}{x+5}

The numerator is a linear polynomial (degree 1)

The denominator is a linear polynomial (degree 1)

therefore

The function f(x) is a rational function

The statement is true

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Natali [406]
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3 years ago
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An urn contains 12 balls, of which 4 are white.
wel

Answer:

a) \frac{1}{3}

b) \frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let A_i\,,\,B_i\,,\,C_i denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution: P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}

b)the balls that are withdrawn are not replaced.

Solution:

If A wins: P(A_1)=\frac{4}{12}=\frac{1}{3}

If A lost and B wins: P\left ( B_1|A_1^{c} \right )=\frac{4}{11}

If A and B lost and C wins: P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}

and so on....

4 0
4 years ago
Which of the following numbers are rational?
ololo11 [35]

Answer:

402

Step-by-step explanation:

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6 0
3 years ago
What is the function f(x) = 2(x + 6), find x if f(x) = 22
lord [1]

Answer:

<h3>x = 5</h3>

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      <em>use distributive property</em>

2x + 12 = 22     <em>subtract 12 from both sides</em>

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x = 5

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3 years ago
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Answer:

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Step-by-step explanation:

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