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3 years ago

What is the Inverse equation to Y= 1/2x - 3?

Mathematics

1 answer:

vesna_86 [32]3 years ago

5 0

Answer:

Y = 1/(2X+6)

Step-by-step explanation:

First, you swap X and Y, getting

X = 1/2Y - 3

Then you have to isolate Y again

X + 3 = 1/2Y -> 2Y = 1/(X+3)

Y = 1/(2X+6)

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Whats 10 percent higher than 39

creativ13 [48]

It will be 49% out of 100

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3 years ago

A spere has a diameter of 24 units what is the volume in cubic units

Lera25 [3.4K]

Answer: 7238.23

Step-by-step explanation:

volume of a sphere is (4/3)(pie)(r^3)

so if the diameter is 24 than the radius is 12 so u would substitute that into the formula and you should get 7238.23

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3 years ago

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

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3 years ago

If the point (x, y) is in Quadrant IV, which of the following must be true?

gayaneshka [121]

Answer:

Any coordinate point with (positive x, negative y)

4 0

2 years ago

In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb

soldier1979 [14.2K]

Your question appears to be phrased incorrectly. If the ratio of soccer players to football players is 4:1 then for every 1 football player there are 4 soccer players. For example, if there are 3 football players, there would be 12 soccer players.

The equivalent expression would be S = 4F

The statement: "there are 4 more soccer players than football players" is not the same thing. It simply means that we add 4 to the total of football players to find out how many soccer players there are.

The equivalent expression would be S = F + 4

That being said: An equivalent ratio to 4:1 would be 8:2 , 12:3, 16:4, ...

Think of the ratio as a fraction. 4:1 = 4/1

4/1 = 8/2 = 12/3 = 16/4 ..., etc.

3 0

3 years ago