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Kipish [7]
3 years ago
11

For the function defined by I = 50/t, what can you say about the relationship between the variables I and t?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

Inverse proportionality relationship

Step-by-step explanation:

SInce I equals 50 divided by t, we see "t in the denominator, which corresponds to an INVERSE proportionality between these variables (I and t)

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valentina_108 [34]

Considering the given linear function, we have that:

  • The change for each copy that he sells is of $120.
  • If he sells no copies, he makes $2400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

His payment for x copies bought is:

y = 120x + 2400.

Hence:

  • The change for each copy that he sells is of $120, as the slope is of $120.
  • If he sells no copies, he makes $2400, which is the y-intercept.

More can be learned about linear functions at brainly.com/question/24808124

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4 0
1 year ago
If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3
Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the slope of the tangent</em>

<em>              </em>m = \frac{dy}{dx} = x(y-1)<em></em>

<em>              m = -2( 3-1) = -4</em>

<em>Given point x = -2</em>

<em>          y = f(-2) =3</em>

<em>∴The given point ( x₁ , y₁) = ( -2 ,3)</em>

<u><em>Step(ii):-</em></u>

The equation of the tangent line passing through the point (-2,3)

y - y_{1} = m(x-x_{1} )

y -3 = -4(x-(-2))

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

<u><em>Step(iii):-</em></u>

<em>The equation of the tangent line passing through the point (-2,3) is</em>

<em>   4 x + y +5 =0</em>

<em></em>

3 0
2 years ago
The probability distribution for a
Luden [163]

Answer:

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Step-by-step explanation:

P(x ≤ -3) = P(x=-3) + P(x=-5)

P(x ≤ -3) = 0.13 + 0.17

P(x ≤ -3) = 0.30

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Martin is two years older than Reese, and the same age as Lee. If Lee is 12, how old is Reese?
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Reese has 10 years old.

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