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blagie [28]
3 years ago
7

Why does the multiplicative inverse of a number have the same sign as the number?

Mathematics
1 answer:
denis23 [38]3 years ago
7 0
<span>Look at the definition of multiplicative inverse. If two numbers are multiplicative inverses of each other, then by definition, their product will be equal to 1. And 1 is a positive number. If both numbers being multiplied are positive, then the result is positive. And of both numbers being multiplied are negative, then the result is still positive. But if one number is positive and the other is negative, then the result is negative. So if you want a positive result, then both numbers you're multiplying have to have the same sign. And since we want a result of 1 for multiplicative inverses and since 1 is positive, then the numbers being multiplied have to have the same sign.</span>
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Rearrange the first inequality to match the second inequality and fill in the blanks for the variables. Then select the appropri
balandron [24]

Answer:

The solution set would be all real numbers

Step-by-step explanation:

Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.

In this case it would be:

4x + 7x + 1 < 11x + 2

(Four plus seven is 11)

11x + 1 < 11x + 2

We can see that x is eliminated, because we change the sign on 11 to be -11:

11x - 11x + 1 < 2

1 < 2

This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers

3 0
2 years ago
Whats the answer can someone answer please​
butalik [34]

Answer:

b and c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
John is going to back to that is 18 inches deep he notices that it takes two minutes to fill the bathtub with 3 inches of water
algol13
Yes,

Every 2 minutes = 3 inches of water, so that means every minute = 1.5 inches of water.

So in 10 minutes:

10*(1.5) = 15 inches of water.

So in 10 minutes the tub will fill an additional 15 inches of water which is exactly how much you need to fill up the remaining tub (3+15 = 18)
4 0
2 years ago
Find the sum.
Assoli18 [71]
Since you cannot add numbers which have x to the power of something and normal x, A and B are incorrect. C is also incorrect because I don't even know how you could get that number.
D is correct.
(14x2 + 7x) + 9x2 - you don't even need the brackets, so
14x2 + 7x + 9x2 
(14x2 + 9x2) + 7x
23x2 + 7x
5 0
3 years ago
2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute v
Norma-Jean [14]

Answers:

-3.5 < 5

|-3.5| < |5|

============================================

Explanation:

Any negative number is <u>always</u> smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.

---------

The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.

So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.

7 0
2 years ago
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