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natita [175]
2 years ago
9

Latisha works x hours each day. Demetrius works 1 more hour each day than Latisha.

Mathematics
1 answer:
snow_tiger [21]2 years ago
3 0

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1)  and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

  • Let the amount of works done by Latisha be = x
  • Then, the amount of works done by Demetrius will be = x + 1

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1)  and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

  • 5 times open paren x plus 1 close paren and 5 x plus 5 is correct.

Learn more about word problems here:

brainly.com/question/2610134?referrer=searchResults

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1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?
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Answer:

The two numbers following 1,-2,3,-4,5...  are -6 and 7.

Step-by-step explanation:

index:   1   2   3   4   5 ....

value:    1  -2  3  -4   5

Let the index be n.  Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1)   =  3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1)    = 4*(-1)^3 = -4 (correct)

So the general formula for a(n)  is:    a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

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a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7.  The first 7 numbers are

1,-2,3,-4,5, -6, 7

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