How is dividing each side of > x greater than 0 by a negative value different from dividing each side by a positive value?

Answers

Answer 1

Step-by-step explanation:

When you divide both sides of an inequality by a positive number, the inequality sign remains the same. When you divide both sides of an inequality by a negative number, you must reverse the inequality sign.

For example:

8 > 2 is a true inequality.

Let's divide both sides by 2:

4 > 1 is also a true inequality. The inequality sign remained > since we divided by a positive number.

Now let's start again with

8 > 2, and divide both sides by -2.

-4 > -1 is false. When the inequality sign remains the same after dividing both sides by a negative number, the inequality is no longer true. To keep the inequality true, we must change the inequality sign when dividing both sides by a negative number.

8 > 2

Divide both sides by -1.

-4 < -1 is true.


Related Questions

I really need help with the bottom half only

Answers

That is very easy all you have to do is plug in this formula. Y2-Y1/X2-X1. After you do that, it is the slope

4x - 2 (x-2) = -4 + 5x -13

Answers

Answer:

x = 7

Step-by-step explanation:

Given

4x - 2(x - 2) = - 4 + 5x - 13 ← distribute left side and simplify

4x - 2x + 4 = 5x - 17

2x + 4 = 5x - 17 ( subtract 5x from both sides )

- 3x + 4 = - 17 ( subtract 4 from both sides )

- 3x = - 21 ( divide both sides by - 3 )

x = 7

what is the equation in point-slope form of the line that passes through the point (-2,10) and has slope -4

Answers

-3 8 is your answer

Is √36 A rational or irrational number

Answers

Answer:

It is a rational number because the [tex]\sqrt{36}\\[/tex] is 6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rational

√36 = √(6²) = 6

Which is the correct definition of a function

Answers

Answer:

A function is a function that passes the vertical line test

Step-by-step explanation:

the vertical line test direction:

draw a line straight down you graph if it hits the x axis two time it not a function

A function is a function which passes the vertical line test.

What is a function?

Function is a type of relation, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable , the independent variable and the dependent variable. In mathematics and the sciences, functions are indispensable for formulating physical relationships.

A Linear function is defined as a function whose graph is a straight line

A a line straight down, graph if it hits the x-axis two times it not a function

A function that passes the vertical line test is known.

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yard
1
Rachel is making a bracelet and a necklace for her friend. She needs
3
5
of wire to make a bracelet and yard of wire to make a necklace. She
6
estimates that she will need about yards of wire.
9
Which best explains her estimate?

Answers

Oufoydoydoskdktdotdodtotdclhclhcclhhc

Question 1 (1 point)
The equation to find the percent of change is the difference divided by the original amount.
True
Or False

Answers

It’s True. I had this question not too long ago

58.5 divided by 1 1/2

Answers

Answer:

the answer should be 39

Step-by-step explanation:

oh my god someone just deleted my question when it was a positivity corner with motivational messaged smh!​

Answers

Answer:

Whatttt that person is negative they need that positivity but yet they deleted that positivity corner with a motivational message. Sad

Jasmine took four 20 point quizzes in her math class. If her scores were 18, 15, 20, and 15, what was her mean quiz score?

(mean = average)

Answers

ANSWER:
17

EXPLANATION:
1st: to find the mean you add all the numbers
2nd: divide by how many numbers there are
So basically 18+15+20+15 then divide by 4 because there are 4 numbers and once you do that it is 17

Hope this helps!!!

Which letter represents the sum of (4+3i) and (-1+i)?
1.) A
2.) B
3.) C
4.) D

Answers

Answer:

B

Step-by-step explanation:

The coordinate that represents the sum of the complex numbers is B , Option 2 is the write answer.

What are Complex Numbers ?

Numbers which can be written in the form a+ib are called complex numbers , i denotes the iota , imaginary number and has the value of √-1 .

The complex numbers given are

(4+3i) and (-1+i)

The sum of complex numbers is

4 +3i -1 +i

3 + 4i

(3,4)

The coordinate that represents the sum of the complex numbers is B , Option 2 is the write answer.

To know more about Complex Numbers

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What is no-fault insurance?
a.
No-fault insurance provides full coverage for the entire car.
b.
No-fault insurance covers only damages that you did not cause.
c.
No-fault insurance is the default insurance that all drivers receive if they do not wish to purchase a special policy.
d.
No-fault insurance covers medical expenses incurred after an accident, regardless of which driver caused the crash.

Answers

Answer:

D      No-fault insurance covers medical expenses incurred after an accident, regardless of which driver caused the crash.

Step-by-step explanation:

Edge

No-fault insurance pays for medical expenditures regardless of who was at fault.

Option d. is correct.

Define insurance.

Insurance is a way of safeguarding against financial loss. It's a type of risk management that's generally utilized to protect against the danger of a speculative or unpredictable loss.

No-fault insurance pays for medical expenditures incurred as a result of an accident, regardless of who was at fault.

Option d. is correct.

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True or false? Jdkdjdjdjjddjds

Answers

Answer:

True

Step-by-step explanation:

To divide fractions, flip one of the fractions then multiply them together.

-1/10 ÷ -3/5 =

-1/10 ÷ -5/3=

-1/10 x -5/3 = 5/30

Because a negative times a negative is a positive the product/quotient is positive.

Giving brainliest to first correct answer!!

Two trapezoid-shaped tabletops are congruent to each other.

trapezoid FGHI = trapezoid WXYZ

Which side of trapezoid WXYZ must be congruent to GH?
A) XY
B) WX
C) YZ
D) WZ

Answers

Answer:

A.XY is the correct answer of this exercise

I need help pleaseeee

Answers

*******************************************************************************************

110 people total osxiwsijxjshsjxbsissiwsjjixbshsoxjsbzh

is {(1,9), (-3,4), (1, -7)} a function?

Answers

No. Because it repeats 1(aka the domain) twice. When there is two same x values than isn’t a function.

Solve the equation
6-x-x = 18
a: -6
b: 6
c: 9
d: -9​

Answers

Answer:

x = -6

I hope this helps!

Identify the transformation(s):

Answers

The answer is translation.

Kelly has $5.38 in her account before receiving her $832.19
paycheck. She writes checks for rent and car insurance in
the amounts of $350.82 and $72.38. She also withdraws
$30. What is her current balance?

Answers

$-447.82

If she is widthdrawling and paying with money that she doesn’t have, before she puts her paycheck in, then she is in debt of $447.82 which makes it negative.

f(x) = 7x - 5 find f(x) when x = 5

Answers

Answer:

f(5) = 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function notation

Step-by-step explanation:

Step 1: Define

f(x) = 7x - 5

x = 5

Step 2: Evaluate

Substitute:                  f(5) = 7(5) - 5Multiply:                      f(5) = 35 - 5Subtract:                     f(5) = 30

Sarah has $400 in a savings account at the beginning of the summer. She wants to have at least $100 in the account by the end of the summer. She withdraws $20 each week for fun. How many weeks can Sarah withdraw money from her account?

Answers

Answer:

15

Step-by-step explanation:

400 - 100 = 300

300 ÷ 20 = 15

Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2​

Answers

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

     8 = [tex]\frac{1}{2}(x + 1)(3x - 7)[/tex]

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

x = [tex]\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex]

x = [tex]\frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}[/tex]

x = [tex]\frac{4\pm \sqrt{292}}{6}[/tex]

x = [tex]\frac{4\pm 17.09}{6}[/tex]

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

Tema de jos Va rog frumos Dau coroana instant

Answers

Answer:

wow so much work you got it is 2 3 I can't understand ur writeing

Which of the following are exterior angles? Check all that apply. 3 2 A. 26 [ B. 24 C. 75​

Answers

Answer:

E and A

Step-by-step explanation:

Solve for x
x(6x+1)= 2

Answers

Answer:

x=1/2,-2/3

Step-by-step explanation:

Answer:

- 1/2 I would show my work but its too long sry

Step-by-step explanation:

what’s the percent increase from 6.2 to 9.1?

Answers

Answer:

46.774194%

Step-by-step explanation:

6.2 → 100%

1 → (100/6.2)%

9.1 → ((100/6.2)x9.1)% = 146.774194%...

percentage increase = 146.774194% - 100% = 46.774194

Tenemos un rectángulo cuya área es (15n + 9nx) cm 2 y su base mide (3n) cm. Existe también un cuadrado con la misma altura del rectángulo, tal que si al área del cuadrado se le disminuye (9x 2 ) cm 2 , ésta medirá 1825 cm 2 . ¿Cuánto mide el área original del cuadrado?

Answers

Answer:

El área original del cuadrado es 34225 cm²

Step-by-step explanation:

Los parámetros dados son;

El área del rectángulo = (15·n + 9·n·x) cm²

La longitud de la base del rectángulo = (3·n) cm

La altura del cuadrado = La altura del rectángulo

El área original del cuadrado - 9·x² cm² = 1825 cm²

La altura del rectángulo = (El área del rectángulo) / (La longitud de la base del rectángulo)

∴ La altura del rectángulo = (15·n + 9·n·x) / (3·n) = 5 + 3·x

La altura del rectángulo = 5 + 3 · x = La altura del cuadrado

El área del cuadrado = Lado × Lado = Altura × Altura = (5 + 3·x) × (5 + 3·x)

∴ El área del cuadrado = (5 + 3·x) × (5 + 3·x) = 9·x² + 30·x + 25

Del área original del cuadrado - 9·x² cm² = 1825 cm², tenemos;

9·x² + 30·x + 25 - 9·x² = 1825

30·x + 25 = 1825

30·x = 1825 - 25 = 1800

x = 1800/30 = 60

x = 60

El área original del cuadrado - 9·x² cm² = 1825 cm²

El área original del cuadrado = 1825 cm² + 9·x² cm² = 1825 cm² + 9 × 60² cm² = 34225 cm²

El área original del cuadrado también se puede encontrar de la siguiente manera;

El área original del cuadrado = (5 + 3 × 60) × (5 + 3 × 60) = 34225 cm²

El área original del cuadrado = 34225 cm².

PLEASE HELP A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week.
Which graph best represents the solution set for all possible combinations of the number of hours she worked at her first job, and y, the number of hours she worked at her
second job, in one week?
Answer
А

Answers

Answer:

B

Step-by-step explanation:

everything above 48 is shaded, she has no more than 48 hours

Only the first graph represents the given situation. The correct option is A.

Given:

A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week.

To find:

The graph that represents the solution set for all possible combinations of the number of hours she worked at her first job and the number of hours she worked at her second job, in one week.

Explanation:

Let [tex]x[/tex] be the number of hours she worked at her first job and [tex]y[/tex] be the number of hours she worked at her second job, in one week.

Her combined work schedules consist of less than or equal to 48 hours in one week. So,

[tex]x+y\leq 48[/tex]

The number of hours cannot be negative.

[tex]y\geq 0[/tex]

[tex]x\geq 0[/tex]

The related equation is [tex]x+y=48[/tex].

At [tex]x=0[/tex],

[tex]0+y=48[/tex]

[tex]y=48[/tex]

The y-intercept is [tex](0,48)[/tex].

At [tex]y=0[/tex],

[tex]x+0=48[/tex]

[tex]x=48[/tex]

The x-intercept is [tex](48,0)[/tex].

Check the inequality for [tex](0,0)[/tex].

[tex]0+0\leq 48[/tex]

[tex]0\leq 48[/tex]

The above statement is true. It means [tex](0,0)[/tex] is included in the shaded region.

Therefore, the correct option is A.

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who sings, THE KID FRANKIE.

Answers

Answer:

frankie

Step-by-step explanation:

Answer:

wiz khalifa

Step-by-step explanation:

yeah

Eli needs pieces of ribbon cut into strips that are 2 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression could be one of the steps in determining how many strips can be cut?

Answers

Hi there! 2 ½ is equivalent to 2.5 and 7 ½ is equivalent to 7.5. An expression that can be used to find out how many strips can be cut is this:

2.5x = 7.5

This is because the length of the ribbon needed to be cut is 2.5 ft long and we are looking for how many of that length could be cut out of a roll of ribbon that is 7.5ft long. All you have to do for this is divide both sides by 2.5 to isolate the variable. 7.5/2.5 is 3. x = 3. Eli can cut 3 strips of 2½ ft long ribbon.

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