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2 years ago

Which equation represents a proportional relationship?

Mathematics

2 answers:

umka2103 [35]2 years ago

8 0

As written here, both choices B and C represent proportional relationships:

... B. y = 12x

... C. y = 3x

_____

One key to a proportional relationship is that when one variable is zero, so is the other. This will not be the case for selections A and D.

Setler [38]2 years ago

7 0

Answer:

$y=12x$

$y=3x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope of the line m, and the line passes trough the origin

case A) $y=-3x+2$

Is a linear equation but does not passes trough the origin

case B) $y=12x$

Is a linear equation and passes trough the origin-----> represent a proportional relationship

case C) $y=3x$

Is a linear equation and passes trough the origin-----> represent a proportional relationship

case D) $y=2(x+13)$

Is a linear equation but does not passes trough the origin

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Answer: 3

Step-by-step explanation:

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2 years ago

Which number produces an irrational number when multipled by 1/4

BabaBlast [244]

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have $\pi = 3.141592653 ...$

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-The multiplication of two rational numbers results in a rational number.

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This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

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2 years ago

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2 years ago

What is the slope intercept form of the equation of 6x+5y=-15

Soloha48 [4]

Slope intercept form is $\sf y=mx+b$ , where 'm' is the slope and 'b' is the y-intercept.

$\sf 6x+5y=-15$

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2 years ago

Given that 10% of the nails made using a certain manufacturing process have a length less than 2.48 inches, while 5% have a leng

zvonat [6]

Answer:

The mean, μ is 2.5063 and

The standard deviation, σ = 2.0499 × 10⁻²

Step-by-step explanation:

Here we have

$z = \frac{x- \mu}{\sigma}$

$z \sigma ={x- \mu}{}$ and

10% have length < 2.48 in while

5% have length > 2.54 in

and

From the z score table

Critical z at 10% to the left = -1.282

Critical z at 5% to the right = 1.645

Therefore, the equations become

-1.282σ = 2.48 - μ → μ -1.282σ = 2.48

1.645σ = 2.54 - μ → μ + 1.645σ = 2.54

Solving the above equations gives

The mean, μ = 2.5063 and

The standard deviation, σ = 2.0499 × 10⁻².

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2 years ago