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4 years ago

Why does the inequality sign have to be flipped when multiplying and dividing by a negative number like in −2x > 10?

Mathematics

1 answer:

4vir4ik [10]4 years ago

5 0

Answer:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

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Which equation describes the same line as y-3=-1(x+5)

Ivahew [28]

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

7 0

3 years ago

Read 2 more answers

A cup of hot coffee has been left to cool in a room with an ambient temperature of 21°C.

ch4aika [34]

Answer:

The temperature of the coffee after 10 minutes will be 21.27°C.

Step-by-step explanation:

The equation representing the elapsed time, <em>m</em>, in minutes, since the coffee was left to cool, and the temperature of the coffee, <em>T</em>, measured in °C is:

$T(m)=21+74.10^{-0.03 m}$

Compute the temperature of the coffee after 10 minutes as follows:

$T(10)=21+74.10^{-0.03 \times 10}$

$=21+0.274824\\=21.274824\\\approx 21.27^{o}\ C$

Thus, the temperature of the coffee after 10 minutes will be 21.27°C.

4 0

3 years ago

There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups

kupik [55]

The number of different groups of cookies he can choose from the 12 cookies is 220

<h3>How to determine the number of different groups of cookies he can choose from the 12 cookies?</h3>

The given parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

The number of different groups of cookies he can choose from the 12 cookies is calculated as:

Numbers = 12C3

The combination formula is represented as:

nCr = n!/(n - r)!r!

Substitute the known values in the above equation

Numbers = 12!/(12 - 3)!3!

Evaluate the difference in the above equation

Numbers = 12!/9!3!

Expand the above equation

Numbers = 12*11*10*9!/9!3!

Evaluate the quotient

Numbers = 12*11*10/3!

Expand the above equation

Numbers = 12*11*10/3*2*1

Evaluate the products

Numbers = 1320/6

Evaluate the quotients

Numbers = 220

Hence, the number of different groups of cookies he can choose from the 12 cookies is 220

So, the complete parameters are:

Number of cookies, n = 12

Selected cookies, r = 3

Number of selection = 220