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3 years ago

The square of a number is 6 more than 5 times the number. What is the number?

1 answer:

8 0

X^2 = 6+5x => x^2 - 5x - 6 = 0 => (x-6)(x+1)=0

This riddle has two solutions:

x=6 or x=-1

indeed 6*6 = 36 = 5*6+6
indeed -1*-1 = 1 = 5*-1 + 6

The -1 is kind of a surprise, isn't it?

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How do you solve the equation 3w-(-4)=8-w

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3 years ago

The amount in kilograms, a, of a radioactive element that remains after t hours can be modeled by the equation a= 0.65(0.92)to t

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Answer:

The rate of decrease is 8%

Step-by-step explanation:

we know that

The general equation for the radioactive decay can be written as:

$a=a_0(1-r)^t$

where

a is the amount in kilograms after time t.

a_0 is the original amount of the substance or y-intercept of the function

r is the decay rate, written in decimals.

t is the time

In this problem we have

$a=0.65(0.92)^t$

$a_0=0.65\\(1-r)=0.92$

solve for r

$r=1-0.92=0.08$

Convert to percentage

$0.08(100)=8\%$

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