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Strike441 [17]
2 years ago
13

Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,

the result is two less than five times the smaller integer.
Rafael tries to model this scenario with the equation shown below. Unfortunately, Rafael has made an error on the left side of the equation. Explain what error he made.
n + 3n + 2 = 5n - 2
Write the correct equation (if you haven't already) and solve it to find the two consecutive even integers.
Mathematics
1 answer:
Valentin [98]2 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Let the smaller integer be n.

Then the larger integer is n + 2.

"When the smaller integer is added to three times the larger integer, the result is two less than five times the smaller integer."

The correct equation is:

n + 3(n + 2) = 5n - 2

His mistake is not using parentheses on the left side. Since he left out the parentheses, the left side is not "the smaller integer added to three times the larger integer", but rather it is "the smaller integer added to 2 plus 3 times the smaller integer."

n + 3(n + 2) = 5n - 2

n + 3n + 6 = 5n - 2

4n + 6 = 5n - 2

8 = n

n = 8

n + 2 = 10

The integers are 8 and 10.

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Flura [38]

Answer:

Step-by-step explanation:

a1=2/3

sequence is 2/3,3/4,4/5,...

for numerator a1=2

d=3-2=1

numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1

denominator = 1 more than numerator=n+1+1=n+2

so an=(n+1)/(n+2)

or for denominator a1=3,d=4-3=1

denominator of nth term=3+(n-1)×1=3+n-1=n+2

an=(n+1)/(n+2)

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3 years ago
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vitfil [10]

Answer:

4p, (p+1), and (p+8)

Step-by-step explanation:

all of these are raised to get the equation 4p^3 + 36p^2 + 32p

8 0
2 years ago
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Zigmanuir [339]

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

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Answer:

given,

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