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3 years ago

Solve for y in terms of x.

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

<u>Answer:</u>

$y=\frac{3}{2} x+6$

<u>Step-by-step explanation:</u>

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

$\frac{2}{3} y-4=x$

Taking the constant 4 to the side where x is to get:

$\frac{2}{3} y=x+4$

Multiplying the denominator 3 to the other side of the equation to get:

$2y=3x+12$

Isolating y to make it the subject:

$y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6$

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iVinArrow [24]

Answer:

Step-by-step explanation:

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3 years ago

Write a quadratic equation in standard form that has a vertex of (-2, 6) and passes through (-4, -2).

Marizza181 [45]

Answer:

The equation of the quadratic in standard form is:

$y=-2x^2-8x-2$

Step-by-step explanation:

Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:

$y-y_v=a\,(x-x_v)^2$

where $(x_v,y_v)$ is the location of the vertex (in our case the point (-2,6).

Therefore the equation above becomes:

$y-y_v=a\,(x-x_v)^2\\y-6=a\,(x-(-2))^2\\y-6=a\,(x+2)^2$

Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter $"a"$ :

$y-6=a\,(x+2)^2\\-2-6=a\,(-4+2)^2\\-8=a\,(-2)^2\\-8=a\,*4\\a=-2$

Then, the equation of the quadratic with such characteristics becomes:

$y-6=-2\,(x+2)^2\\y-6=-2x^2-8x-8\\y=-2x^2-8x-2$

which is the equation of the quadratic in standard form.

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3 years ago

Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with ca

kramer

Answer:

240 I think.

Step-by-step explanation:

since each side of the cube is 40 cm and there's 6 sides on the cube, you just multiply 40 by 6 to get 240.

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3 years ago

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The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police o

Fittoniya [83]

I would assume that there would be 761,306 police officers in 2016 to have a greater percentage increase than that of the private investigators.

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3 years ago

If the equation ax+b=cx+d has no solution what must be true about a, b, c, and d?

kykrilka [37]

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Answer:

a = c
b ≠ d

Step-by-step explanation:

For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,

a = c

and the y-intercepts must be different:

b ≠ d.

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3 years ago