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FrozenT [24]
3 years ago
7

Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8  2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

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Which equation can you solve to find the potential solutions to the equation log2x log2(x – 6) = 4? x2 – 6x – 4 = 0 x2 – 6x – 8
sergeinik [125]

To solve the question we must know about Logarithm.

<h2>Logarithm</h2>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

\rm{log_{10}1000=3

The value of input can not be negative, the value of x is 8.

<h2>Given to us</h2>
  • \rm{ log_2x+log_2(x-6)= 4

<h2>Solution</h2>

\rm{ log_2x+log_2(x-6)= 4

  • Using log_ab + log_ac = log_a(bc),

        \rm{ log_2x(x-6)= 4

  • Taking antilog,

        x(x-6)= 2^4

  • Doing factorization

        x^2 -6x -16=0\\&#10;x^2 -8x +2x-16=0\\&#10;x(x-8)+2(x-8)=0\\&#10;(x+2)(x-8) = 0

Equating factors against 0,

1.    (x+2)=0\\&#10;x=-2

2.     (x-8)=0\\&#10;x=8

As the value of input can not be negative, the value of x is 8.

Hence, the value of x is 8.

Learn more about Logarithm:

brainly.com/question/3072484

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Step-by-step explanation:

We're looking for two numbers that have a sum of 11 and product of 24; these numbers are 3 and 8 so the factored form is (x + 3)(x + 8).

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If two events are independent, then P(A and B) = P(A) x P(B).

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