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kozerog [31]
3 years ago
15

Complete the table for the given rule y=x/4

Mathematics
1 answer:
vichka [17]3 years ago
4 0
Since they only give you the y values in the table, it would be easier if you isolated the x in the rule:

y = x/4

Multiply both sides by 4

4y = x

Now you can simply substitute the y values into the rule to get the x

4(4) = 16

4(2) = 8

4(9) = 36

~~hope this helps~~

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To one-one functions g and h are defined as follows.
Andreyy89

Answer:

  • 9
  • (x-8)/3
  • -1

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

__

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

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6 0
3 years ago
Can you find the probability to each of these answers...
goldfiish [28.3K]

Problem 1

<h3>Answer: 7/10</h3>

-----------------------

Explanation:

The formula we'll use is

P(A or B) = P(A) + P(B)

which only works if A and B are mutually exclusive events.

P(A or B) = P(A) + P(B)

P(A or B) = 7/20 + 7/20

P(A or B) = (7+7)/20

P(A or B) = 14/20

P(A or B) = (7*2)/(10*2)

P(A or B) = 7/10

=========================================================

Problem 2

<h3>Answer:   3/4</h3>

-----------------------

Explanation:

We'll use the same formula as the previous problem.

P(A or B) = P(A) + P(B)

P(A or B) = 3/10 + 9/20

P(A or B) = 6/20 + 9/20

P(A or B) = (6+9)/20

P(A or B) = 15/20

P(A or B) = (3*5)/(4*5)

P(A or B) = 3/4

=========================================================

Problem 3

<h3>Answer:  3/5</h3>

-----------------------

Explanation:

We'll use the same formula as the previous problem.

P(A or B) = P(A) + P(B)

P(A or B) = 7/20 + 1/4

P(A or B) = 7/20 + 5/20

P(A or B) = (7+5)/20

P(A or B) = 12/20

P(A or B) = (4*3)/(4*5)

P(A or B) = 3/5

=========================================================

Problem 4

<h3>Answer:   0</h3>

-----------------------

Explanation:

This time we're asked to find P(A and B), but since the two events are mutually exclusive, this means the probability of both occurring is 0.

Mutually exclusive events cannot happen simultaneously.

An example would be flipping heads and tails at the same time on the same coin.

The info about P(A) and P(B) is not relevant.

7 0
4 years ago
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