# Determine whether −3x−y2=−1 is a function.

The equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

To determine whether the equation −3x − y² = −1 represents a function, we need to check if there is a unique output (y) for every input (x) or if there are multiple outputs for the same input. In other words, we need to ensure that each x-value maps to only one y-value.

First, let's rearrange the equation to isolate y²:

−3x − y² = −1

y² = 3x - 1

Now, it's evident that for a single value of x, there could be two possible values of y due to the square root. This means that for some values of x, there would be multiple outputs (y-values). Therefore, the equation −3x − y² = −1 is not a function because it violates the definition of a function where each input should have a unique output.

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No (not a function)

Step-by-step explanation:

Begin by isolating the y-term to find

−3x−y2−y2y2=−1=3x−1=−3x+1

For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have

y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5

We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.

## Related Questions

In the 2020 Super Bowl, San Francisco lost by 11 points. Develop a playbook for the team to use to win the game if there were 5 minutes on the clock.

do better and kick butt ( lol) srry not helpful but just what I thought

Step-by-step explanation:

(-3l^2w^3)(2lw^4) simplify express using exponents.

The simplified algebraic expression using exponents is simplifies to

To simplify the given expression using exponents, follow these steps:

Multiply Coefficients: Multiply the coefficients (-3) and (2) to get -6.

Combine Like Bases: For the variables with the same base (l and w), add the exponents when they are multiplied together.

Here, , and

Final Simplified Expression: Combine the results from steps 1 and 2 to get

Therefore, the simplified expression using exponents is simplifies to .The expression has been simplified using the rules of exponentiation. This simplification helps in reducing the complexity of the expression and making calculations easier.

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Step-by-step explanation:

(-3)(2)= -6

(l^2w^3)(lw^4) = l^3w^7

-6l^3w^7

Determine the next step for solving the quadratic equation by completing the square. 0 = –2x2 + 2x + 3

-1/2, 1/4, 1/2 on edge

The  next step is to divide the equation by -2

-2(x^2 - x) + 3 = 0

Select all the conditions for which it is possible to construct a triangle. A.A triangle with angle measures , , and B.A triangle with side lengths 3 cm, 7 cm, and 11 cm C.A triangle with side lengths 6 in, 13 in, and 12 in D.A triangle with side lengths 8 cm and 5 cm and a angle E.A triangle with angle measures and , and a 9 cm side length

As

Step-by-step explanation:

Aaa

a bag contains 5 blue sticks,4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. what is probability that the stick will be blue?

the probability of getting a blue stick will be 5/12.

### What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, a bag containing 5 blue sticks,4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking.

probability = desired outcome / maximum possible outcomes

For the probability of getting a blue stick

since there are 5 blue pen

desired outcome = 5

maximum possible outcomes = 5 + 4 + 3

maximum possible outcomes = 12

thus, probability = 5/12

therefore, 5/12 will be the probability of getting a blue stick.

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The probability is 5/12

Which is true about the solution to the system of inequalities shown

pls provide the problem

look below for question

Step-by-step explanation:

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

Only values that satisfy y > 3x + 1 are solutions.

Only values that satisfy y < 3x – 3 are solutions.

Values that satisfy either y > 3x + 1 or y < 3x – 3  are solutions.

There are no solutions.