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mash [69]
3 years ago
10

Solve |x| < 5 A{x|-5 < x < 5} B{x|x < -5 or x > 5} C{-5, 5}

Mathematics
1 answer:
ira [324]3 years ago
8 0

When solving an absolute value inequality,

you can split the problem up into two separate inequalities.

The first inequality will look just like the original problem,

minus the absolute value signs (x < 5).

In the second inequality, you must switch the direction

of the inequality sign and make the right side negative (x > -5).

The word “and” is used between the two inequalities when

we  split things up, in this case x < 5 and x > -5.

The word "and" means intersection which means where the graphs overlap.

In this case, that's less than 5 and greater than -5.

In set notation, this reads {x: -5 < x < 5}.

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329,444,000,777,234 in words​
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Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

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If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
max2010maxim [7]

Given:

kth term of a sequence is

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

To find:

The next term a_{k+1} when k is even.

Solution:

We have,

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

Put k=k+1, to get the next term.

a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}

If k is even, then k+1 must be odd and odd power of -1 gives -1.

a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}

a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}

a_{k+1}=-\dfrac{1^2-k^2}{2k+1}    [\because (a-b)(a+b)=a^2-b^2]

a_{k+1}=-\dfrac{1-k^2}{2k+1}

Therefore, the next term is a_{k+1}=-\dfrac{1-k^2}{2k+1}.

7 0
3 years ago
A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The ni
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Answer:

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Which number is equivalent to 3^(4)÷3^(2)
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Answer:

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Step-by-step explanation:

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3 years ago
noah was asked to compute the product of two numbers. he misread the problem and entered the sum of the two numbers instead. luc
Vikki [24]

The other number is 1.25 .

proved to us , the first number is 5 .

let the other number is 'x' .

therefore we are having ,

the product of these numbers = 5x

the sum of these numbers = 5 + x

Also , the product of these two numbers is equal to the sum of these two numbers

so ,  5x = 5 +x

       4x = 5

        x = 5/4 = 1.25

so the second number is 1.25

verification :

product of the numbers = 5 x 1.25 = 6.25

sum of the numbers = 5 + 1.25 = 6.25

Hence the result is correct

Therefore the other number is 1.25.

learn more about misread problems here :

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