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2 years ago

Solve the equation. -5r-1=7r+5

Mathematics

2 answers:

irga5000 [103]2 years ago

8 0

Answer:

r=-1/2

Step-by-step explanation:

(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5

Ksivusya [100]2 years ago

3 0

Answer:

-1/2

Step-by-step explanation:

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A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

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2 years ago

Inverse for f(x)=1/2x+3

Semenov [28]

Answer: $f^{-1}(x)=2x-6$

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

$y=\frac{1}{2}x+3$ [switch x and y]

$x=\frac{1}{2}y+3$ [subtract both sides by 3]

$x-3=\frac{1}{2} y$ [multiply both sides by 2]

$y=2x-6$

Now, we know that $f^{-1}(x)=2x-6$ .

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BigorU [14]

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2 years ago

If a circle has circumference 100pi units, what is it’s area

const2013 [10]

Answer:

2500pi^2 units

Step-by-step explanation:

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Area = pi * 50^2

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2 years ago

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Goshia [24]

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