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3 years ago

Which equation shows a proportional relationship between x and y?

Mathematics

1 answer:

Effectus [21]3 years ago

7 0

Given:

There exist a proportional relationship between x and y.

To find:

The equation which represents a proportional relationship between x and y.

Solution:

If there exist a proportional relationship between x and y, then

$y\propto x$

$y=kx$

where, k is constant of proportionality.

We know that, proportional relationship passes through the origin because (0,0) satisfy $y=kx$ .

For x=0, check which equation has y=0.

In option A, $y=-3(0)-2=-2$ .

In option B, $y=9$ .

In option C, $y=4(0)=0$ .

In option D, $y=3(0)+1=1$

Only in option C, we have a equation of the form $y=kx$ with 4 as constant of proportionality and it passes through (0,0).

Therefore, the correct option is C.

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3 years ago

Explain your answer plez

tiny-mole [99]

Answer:

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Step-by-step explanation:

In a parallelogram, opposing angles must be equal. Note how 75° = 75°. Thus, opposing angles 2x + 5 and x + 55 must also be equal.

Solve this equation for x.

Subtracting x from both sides yields x + 5 = 55. Next: Subtracting 5 from both sides yields x = 50° (answer choice C)

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3 years ago

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3 years ago

Solve 2x^3+7x^2-2x-1=o

Mashcka [7]

Answer:

$x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}$

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

$2x^3+7x^2-2x-1$ = 0

We have to find all the factors of a and d and put them in a fraction

$a=2\\d=-1\\\frac{1}{1,2}$

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get $x^2+4x+1$

So now the equation is $(2x-1)(x^2+4x+1)$

Solve the second half of this equation using the quadratic formula to get

$\sqrt{3}-2$ and $-\sqrt{3}-2$

We already know the solution for the first half of the equation (1/2)

So the final answers are:

$x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}$

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3 years ago

If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3

Stolb23 [73]

I don't see a drawing of the quadrilaterals, so I don't know what the perimeter of quadrilateral P is. But whatever the perimeter of P is, Q will be 1/3 of that. Perimeter is a length, so even though it may pertain to a 2-dimensional object, it is still a 1-dimensional, linear measure. When two objects are similar (same shape, but scaled up or down by a scale factor), all corresponding linear measures have the same scale factor.

If you were asked about area or volume, that would be a different matter. In the case of area, you would square the scale factor, and in the case of volume, you would cube the scale factor.

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3 years ago