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2 years ago

Which of the following represents a function?

Mathematics

2 answers:

Lyrx [107]2 years ago

8 0

The image on the left represents a function. The image on the right does not as a function cannot have multiple variables for a single X quantity.

s2008m [1.1K]2 years ago

6 0

Answer: A

Step-by-step explanation:

a function is the relation between the independent variable (x) and the dependent variable (y)
the defining characteristics which differentiates a function from a relation is its input and output values
a function can only have single input value that corresponds to a single output value, or an x value can only lead to one possible y value

Option A Coordinates

$(-5,3)\\(-3, 1)\\(-1,-1)\\(1, -1)\\(3, 1)\\(5, 3)$

each x value only leads to one possible y value
therefore, option A is a function

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2 years ago

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Vilka [71]

Answer:

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3 years ago

Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2

Nezavi [6.7K]

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

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Therefore, the expected value of the winnings from a game is

$\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})$ .

4 0

2 years ago

Help ?!-10+3x=8 X=??

jekas [21]

Ok, so first off you need to remember that your goal is to get x alone.
How do you do this? Well, let's get rid of that pesky negative ten, shall we?
The opposite of a negative is positive, so you can move negative ten to the other side of the problem by adding ten. Make sure that you do operations on both sides. Once you add, you have 3x=18. When a number is right next door to an x, it means it is being multiplied. To get rid of the three, divide by three on both sides. Now your get x=6, which is your answer. Hopefully, I explained this well! :D

8 0

3 years ago

Read 2 more answers

Find the angle measure indicated to the nearest tenth:

makvit [3.9K]

Step-by-step explanation:

Sin<D = Opposite / Hypotenuse

Opposite - EC

Hyp - DE

Sin<D = EC/DE = x/9

we need x to find <D.

so -->Use pythagorean theorem.

DE^2 = EC^2 + DC^2

DE = 9 DC = 7 EC = ?

EC^2 = DE^2 - DC^2 rearranged.

= 9^2 - 7^2

= 81 - 49

EC^2 = 32 Put both sides under square root.

√(EC^2) = √32

EC = 4√2 ~ 5.65.

We now have X which was representing the unknown side EC.

Sin<D = EC/DE = 5.65/9 = 0.627

To find <D Take the sine inverse of of 0.627.

<D = Arcsin(0.627) = 38.82°.

We now know <D. It's <E's turn.

A right angle triangle has a summation of interior angles of 180°.

thus, <D + <C + <E = 180°

38.82° + 90° + <E = 180°

128.82° + <E = 180°

subtract both sides by 128.82°

0 + <E = 180° - 128.82°

<E = 51.2°

6 0

2 years ago