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Inga [223]
3 years ago
6

Find three consecutive integers such that that product of the first and third is one

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

n = the first

n + 1 = the 2nd

n + 2 = the 3rd

n(n + 2) - (n + 1) = 10(n + 2) + 1

n2 + 2n - n - 1 = 10n + 20 + 1

n2 - 9n - 22 = 0

(n - 11)(n + 2) = 0

If two factors = 0, at least one must = 0.

n - 11 = 0

n = 11

11,12,13

n + 2 = 0

n = -2

-2,-1,0

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Select the correct answer.
Svetlanka [38]

Answer:

<h3>\boxed{ \boxed{ \bold{ {x}^{2}  + 4x - 21}}}</h3>

Step-by-step explanation:

\sf{(x - 3)(x + 7)}

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒\sf{x(x  + 7) - 3(x + 7)}

⇒\sf{ {x}^{2}  + 7x - 3x  - 21}

Collect like terms

⇒\sf{ {x}^{2}  + 4x - 21}

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Best regards!!

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3 years ago
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About what percentage of Guadalupe's payments so far have gone to paying<br>interest?​
Westkost [7]
B.becuase he paid that much in total, and we divide them by 100
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3 years ago
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PLEASE HELP ASAP!!!!
lina2011 [118]
<h3>Answer:</h3>

System

  • p + m = 10
  • 0.8m = 0.4·10

Solution

  • p = m = 5 — 5 lb peanuts and 5 lb mixture
<h3>Step-by-step explanation:</h3>

(a) Generally, the equations of interest are one that models the total amount of mixture, and one that models the amount of one of the constituents (or the ratio of constituents). Here, there are two constituents and we are given the desired ratio, so three different equations are possible describing the constituents of the mix.

For the total amount of mix:

... p + m = 10

For the quantity of peanuts in the mix:

... p + 0.2m = 0.6·10

For the quantity of almonds in the mix:

... 0.8m = 0.4·10

For the ratio of peanuts to almonds:

... (p +0.2m)/(0.8m) = 0.60/0.40

Any two (2) of these four (4) equations will serve as a system of equations that can be used to solve for the desired quantities. I like the third one because it is a "one-step" equation.

So, your system of equations could be ...

  • p + m = 10
  • 0.8m = 0.4·10

___

(b) Dividing the second equation by 0.8 gives

... m = 5

Using the first equation to find p, we have ...

... p + 5 = 10

... p = 5

5 lb of peanuts and 5 lb of mixture are required.

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4 years ago
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Natasha_Volkova [10]
Your answer is C :) blessings
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3 years ago
Solve 6/7=y−3/7. I really need help.
sveta [45]

Pretty sure that it is 9/7.

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