compare and contrast multiplication prop of equality and inequality

Answers

Answer 1

For an equality, whether multiplying by a positive or a negative number, the equality is maintained.

For an inequality, multiplying (or dividing) by a negative number requires that the inequality sign be reversed. When multiplying (or dividing) by a positive number, the inequality sign remains as it was.


Related Questions

What is the vertex of the graph of the function f(x) = x2 − 4x?

Answers

Answer:

(2, -4).

Step-by-step explanation:

x^2 - 4x

= (x - 2)^2 - 4.

So the vertex is at

(2, -4).

Answer:

(2,-4)

Step-by-step explanation:

x²-4x

First, we need to complete the square of this quadratic.

1) Half the coefficient of x and subtract it (depends on the sign) from x. Then, square the whole expression.

(x-2)²

2) If this was to be expanded as a double bracket, we would acquire:

x²-4x+4

In order to achieve the form above, we need to subtract 4. This can be found quickly by subtracting the square of the integer from the bracket. (Ignore the sign when squaring here.)

(x-2)²-4           ------>This is in the completing the square from.

From this, the vertex is determined by using the opposite sign of the number in the bracket for the [tex]x[/tex] coordinate and the outside number is kept constant for the [tex]y[/tex]. Note that, in graph transformations, the number inside the brackets is the "opposite of what you expect"; the same logic is applied here.

Therefore, the vertex is (2,-4)

divide four into twelve

Answers

Answer:

3

Step-by-step explanation:

Four circles and 12 dots, divide them equally into the circles.

Answer:

3

Step-by-step explanation:

It's kinda like multiplying 3 and 4 then get 12

What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)

B. 6(3.14)

C. 3(3.14)-2

D. 3(3.14)/3

Answers

Answer:

the correct answer is B

Step-by-step explanation:

I got it correct on 2021 edge

which year in the 18th century was a perfect square

Answers

Answer:

THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century

which numbers belong to the solution set of the inequality x+6=45

Answers

X+6=45
x=45-6
X=39
So the solution is
X=39

Please Answer this (mathematics)

Answers

Answer:

50.21, 50.12, 50.102,50.021

the last one

Step-by-step explanation:

sorted into descending order

x-40+9x-5 simplified

Answers

Answer:

your answer would be 10x-45

Step-by-step explanation:

don’t get it. someone help. algebra 1!

Answers

The y - intercept is -2
Have a great day/night !

Answer:

+2

Step-by-step explanation:

Please help me answer these questions and explain why... I will mark you brainliest and rate you five stars

Answers

How you calculate this is this:

So, any two given sides much be greater than the other side.

7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.

8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.

9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.

PLS HELP ME IMMA CRY ONG

Answers

Since on the left, the top number is 2 less than the bottom number and on the right side, the top number is 2 less than the bottom number, you can conclude that s = 55.

Answer: 55

Step-by-step explanation:

I let Math- way do it

The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?

Answers

Answer:

750$

Step-by-step explanation:

lets say the increase is x times 10$. it means manager asks for (500+10x) and earns it from (100-x) apartments. Revenue will be the product of the two:

[tex](500 + 10x)(100 - x) = 50 \: 000 - 500x + 1 \: 000x - 10 {x}^{2} = 50000 + 500x - 10 {x}^{2} [/tex]

its a parabola, and its maximum is on the vertex, or at

[tex]x = - \frac{b}{2a} = - \frac{500}{ - 20} = 25[/tex]

so he should add 10$ 25 times, or ask 750$

A system of equations is shown. x = 10 3x + 5y = 20

Answers

Answer:

(10, - 2 )

Step-by-step explanation:

x = 10 → (1)

3x + 5y = 20 → (2)

Substitute x = 10 into (2)

3(10) + 5y = 20

30 + 5y = 20 ( subtract 30 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

solution is (10, - 2 )

Can I please get brainliest, thank you!!

what’s 4x+9-x-3x=9 ?

Answers

Answer:

x=0

Step-by-step explanation:

4x+9-x-3x=9

4x-x-3x=9-9

0x=0

x=0

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer might be: 24

What is 2x + 45?

Plz help, Wanna T.a.l.k?

Answers

X= 22.5 get the x by itself by dividing by 2

Answer:

It is linear

Step-by-step explanation:

I don't know if you needed it graphed or what was needed to solve your question

what’s the answer to this?

Answers

Your answer would be c y=4x+2. Based on the formula y= Mx+b, b being your y intercept, the line starts on 4. This equation is the only one that adds four to it therefore it is c. We can also prove with the slope. The slope is rise over run, ( m is the slope). Moving 4 up and 1 to the right, the line is created, making this equation true and the correct answer.

Rearrange to make x the subject
4(x-3) =y
pls help

Answers

4(-3x)=y F f f f f f f f d d d d d d d d d d d d d d d d d d d d d d

In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? % ​

Answers

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

Need 1 and 2 answered please.​

Answers

A=1/2*b*h
A=1/2*5*12
A=30

Answer:

mark me brainliest bro

Step-by-step explanation:

haha daisuki haha

F = 1.8 C + 32
(a) Work out the value of F when C = -8

Answers

Answer:

17.6°

Step-by-step explanation:

1.8x-8=-14.4

-14.4 + 32= 17.6°C

work out the size of angle x

Answers

Answer:

66 degrees

Step-by-step explanation:

All angles together equal 180.

79 + 35 = 114

180 - 114 = 66

or

180 - (79 + 35) = 66

I hope that this helps!

Please help make sure to show your steps too, please

Answers

Answer:

Slope = -2

Step-by-step explanation:

Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:

Let (x₁, y₁) = (-4, 10)

    (x₂, y₂) = (0, 2)

The formula for solving for the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

where m represents the slope of the line.

Substitute the given values into the formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]

[tex]m = \frac{-8}{0 + 4 }[/tex]

m = -8/4

m = -2

Therefore, the slope of the line is -2.

Cost $95 markup rate: 50%
PLS ANSWER THIS WITH AN EXPLANTION AND THE ANSWER 10 POINTS *PLS I NEED AN EXPLANTION (DONT ASK WHY THIS IS IN ALL CAPS) *ITS IN ALL CAPS SO YOU GUYS A SEE THIS CLEARLY*

Answers

It basically means that’s the cost of the product goes up by 50% when trying to sell again so when you bought that product it would be $47.50 but with the markup rate the person your selling it to would have to pay $95

PLEASE LAST ONE HELP!!!

Answers

Answer:

JKN and ONK

Step-by-step explanation:

Hope this helps :)

a pile of 10 000 sheets of paper is 89 cm thick. how thick is 1 sheet of paper.

Answers

Answer:

1 sheet is 0.0089 cm thick.

Step-by-step explanation:

10000 sheets of paper is 89 cm thick

=> 1 sheet of paper is 89 ÷ 10000 = 0.0089cm thick

Pls do this for me thx

Answers

m<S is 20°..........

.........


Mr. Kelly is 7 years younger than five times Reem's age. The sum of their ages is 77. How old is
Mr. Kelly?

Answers

Answer:

14 y/o

Step-by-step explanation:

assuming that Reem's age is X y/o,

Kelly's age= 5x - 7

according to the question,

(x)+(5x - 7) = 77

or, 6x= 77+7

or, x= 84/6

therefore, x= 14

May I please receive help?

Answers

Answer:

74 meters

Step-by-step explanation:

1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?​

Answers

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
standing. Find the length of each part.
Please help step by step please

Answers

Answer:

Broken = 7x

Step-by-step explanation:

Left = x

x(7x) = 30

(7x² = 30)⅐

x² = 4.285

√x² = √4.285

x = 2.07

Left = 2.07 meters

Broken = 7 x 2.07 = 14.49 meters

i hope this is correct!

good luck on ur test!

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