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2 years ago

Explain how you can tell whether the sum of two integers is positive or negative, before adding them.

Mathematics

2 answers:

julsineya [31]2 years ago

7 0

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Inessa05 [86]2 years ago

7 0

Answer:

Step-by-step explanation:

The sum will have the same sign as the integer with the greater magnitude.

Example: the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).

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What is the solution of

kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

$\sqrt{2x+4}-\sqrt{x}=2$

Isolating √(2x+4): Addind √x both sides of the equation:

$\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}$

Squaring both sides of the equation:

$(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}$

Simplifying on the left side, and applying on the right side the formula:

$(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}$

$2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x$

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

$2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}$

Squaring both sides of the equation:

$(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x$

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

$x^{2}-16x=16x-16x\\ x^{2}-16x=0$

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2$

x=0 is a solution

2) x=16

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2$

x=16 is a solution

Then the solutions are x=0 and x=16

5 0

2 years ago

Can someone help me with this x / 12 = -8

myrzilka [38]

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

6 0

2 years ago

Read 2 more answers

How did the corana virus start

S_A_V [24]

Answer:

THE CHINESE PEOPLE DIDNT EAT A BAT!

Step-by-step explanation:

THE VIRUS CAME ORIGINALLY FROM A LAB IN CHINA! THEY MADE IT AND DIDNT TELL THE USA ABOUT IT. WHEN CHINESE PEOPLE WERE TRAVELING TO THE USA IT SPREADED! WATCH THE NEWS AND GET YOUR FACTS STRAIGHTEN!

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2 years ago

Help me with 7 and 9 show your work !

rosijanka [135]

7: 2 -(4-7) + (-7) +10
2 +3 -7 +10
= 8

9: (-10) x (-5) + (-4) + 5 -(-10)
(50) -4 +5 +10
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2 years ago

There were 47 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 78 of hay in the barn. How many

ICE Princess25 [194]

Answer:

Step-by-step explanation:

78 - 47 is 31 bales of hay