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Andru [333]
3 years ago
11

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]3 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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3 years ago
Simplify the expression
Molodets [167]

Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.

So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

8x^8/3 y^4 - The first option.

Hope this helped!

7 0
3 years ago
6/12 + 6/24 + 1/4 =<br> I don't rember how to do this
raketka [301]

Answer:

1

Step-by-step explanation:

6/12=1/2

6/24=1/4

1/2+1/4+1/4=1/2+2/4=2/4+2/4=4/4=1

8 0
3 years ago
Read 2 more answers
Please help
djyliett [7]

Answer:

x+6<12

Step-by-step explanation:

Since it is going left from 6, we know that x must be less than 6

(if u need me to explain more I can)

8 0
3 years ago
Read 2 more answers
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