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2 years ago

14

Find the inverse of the linear function: y = 1/2 x + 3

1 answer:

kogti [31]2 years ago

6 0

What you want to do is change the variable positions of X and Y
So it would be a new equation of
x = 1/2y + 3
Then you would need Y to be by itself so you solve for that
x-3 = 1/2 y
then,
2(x-3) = y
Your inverse function is 2(x-3) = y
Hope this helped :D

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Enter the next three numbers of the repeating decimal produced by the fraction 1/9

daser333 [38]

.517 if im just doing it wrong

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2 years ago

Suppose PR = 54, solve for QR<br> 4x-1<br> 3x-1<br> P<br> R

Svet_ta [14]

Answer:

$QR = 23$

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

$PQ = 4x - 1$

$QR = 3x - 1$

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

$PQ + QR = PR$

$(4x - 1) + (3x - 1) = 54$ (substitution)

Solve for x

$4x - 1 + 3x - 1 = 54$

Combine like terms

$4x + 3x - 1 - 1 = 54$

$7x - 2 = 54$

Add 2 to both sides

$7x - 2 + 2 = 54 + 2$

$7x = 56$

Divide both sides by 7

$\frac{7x}{7} = \frac{56}{7}$

$x = 8$

$QR = 3x - 1$

Plug in the value of x into the equation

$QR = 3(8) - 1 = 24 - 1$

$QR = 23$

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3 years ago

For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11

romanna [79]

Answer:

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Step-by-step explanation:

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2 years ago

A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.

kirill115 [55]

Answer:

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Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2) ⇒ x₀ = -4, y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10 {subtract 2 from both sides}

y = -⁵/₂x - 12 ← the slope-intercept form of the equation

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2 years ago

A disease has a constant force of mortality, µ. Historically 10% of all people with the disease die within 20 years. A more viru

kolbaska11 [484]

Answer:

Step-by-step explanation:

For the disease having force of mortality µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = $1-e^{-\mu}$ = .1

$e^{-\mu}$ = .9

For the disease having force of mortality 2µ.

we apply exponential distribution law

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p( x <20) = 1 - $e^{-2\mu}$

= 1 - ( .9)²

= 1 - .81

= .19

or 19%

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