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2 years ago

Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.

Mathematics

1 answer:

fredd [130]2 years ago

4 0

Answer:

the two consecutive negative integers are -2 and -1.

Step-by-step explanation:

Represent these negative integers by m and n.

Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.

Substituting m + 1 for n in the second equation, we get:

m^2 = m + 1 + 5, or

m^2 - m - 6 = 0

This factors into (m - 3)(m + 2) = 0. The only negative root is -2.

Thus, the two consecutive negative integers are -2 and -1.

Check: Is the square of the first five more than the second?

Is (-2)^2 = -1 + 5? YES

The integers aer -2 and -1.

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Inverse Function: f-¹ (- 3) f(x) = 6x - 12

sp2606 [1]

f(x) = 6x - 12
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¹/₆y + 2 = x
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3 years ago

(using tables of x- and y-values).

aev [14]

Answer:

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

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2 years ago

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Nady [450]

Answer:

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Step-by-step explanation:

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Vesna [10]

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3 years ago

Read 2 more answers

N the Avery Ranch area 20% of the homes are built in what is known as the Tuscan style (two story, tile roof, brick or stucco si

Zinaida [17]

Answer:

The Answer would be 0.14

Step-by-step explanation:

If you are using a TI-83 plus or something of that sort then you can follow along

The question asks "What is the probability that exactly 10 are Tuscan Style?" The keyword here is 'exactly' this means out of the 5 formulas dealing with this you would use Binompdf(n,p,k)

To use this on your calculator do:

2nd VARS (Distr)

scroll down to ' 0:binompdf( '

then hit enter

DO NOT USE ' 1: normalpdf( 'This was my own mistake when dealing with this question.

After you hit enter you should fill out n,p,k

In this case N=50 , P=0.2 and K=10

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Hope this helps!

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3 years ago