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s2008m [1.1K]
3 years ago
7

Please explain why you add to find the sum of two negative integers, but subtract to find the sum of a positive and a negative i

nteger. Use a number line or counters in your explanation

Mathematics
2 answers:
MakcuM [25]3 years ago
6 0

Answer with explanation:

⇒When there are two Negative Integers or two Positive Integers, we add them, because, two integers has same sign behind it, it means those two things which are represented through numbers, are moving in same direction.So,Instead of subtracting ,we add them and place the same sign behind the result,means, if two integers has positive sign preceding it, then positive sign precedes the result, otherwise if two integers has negative sign behind it, negative sign precedes the result.

⇒And , if there is one positive and one negative integer, we subtract larger from smaller ,and place that sign that larger integer has, preceding the result.Because when two integers has opposite sign, it means they are moving in opposite direction.

Dahasolnce [82]3 years ago
3 0
If it there are two negative #'s you add them because they are on the same side of the number line.
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Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

2

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

p

−

(2p+1)(p−4)

2p

2

+5

=−

p−4

5

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

p

2

−4p

−

(2p+1)(p−4)

2p

2

+5

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

2

−4p)−(2p

2

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

2

−4p)−(2p

2

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

2

−4p)−(2p

2

+5)=−p

2

−4p−5

-p^2-4p-5=-10p+5−p

2

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

2

−4p+0=−10p

-p^2+6p=0−p

2

+6p=0

Factor:

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7 0
3 years ago
Read 2 more answers
Francesca had 32 cups of flower she used 3/8 of the flour for a recipe . How much flour did she use ?
algol13
The answer is 12 cups i think
6 0
2 years ago
PLEASE HELP!!! PLATO ALGEBRA 2
andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  \left|\frac{1}{8}\left(-64\right)-1\right|

                             =\left|-\frac{1}{8}\cdot \:64-1\right|

                             =\left|-8-1\right|

                             =\left|-9\right|

\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a

                             =9        

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0
2 years ago
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