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maw [93]
3 years ago
11

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
3 0
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

8 0
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 <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> 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

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2

and [<em>a</em>, <em>b</em>] = [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}}

5 0
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
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