(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Answers

Answer 1

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

Step-by-step explanation:

You are welcome.

And I hope this helps.      :)

Answer 2

Answer:

Step-by-step explanation:

If you begin with an inequality and wish to solve for one of the variables, you must isolate that variable on the right side of a new inequality.  Now supposing that that variable is negative in the given inequality, and that you must change that sign to positive.  Generally you can either multiply every term in the given inequality by -1 or divide every term by -1.  In both cases you must change the direction of the inequality sign.

Example:  Given -3x > 2 + 5y, solve for x.  To do this, multiply all three terms in the inequality by (-1/3), which yields x on the left and -2/3 - (5/3)y on the right.  We must reverse the direction of the inequality sign, so the final answer is  x < -2/3 - (5/3)y.


Related Questions

A 24 pack of box of colored gel markers cost $12.96. What is the cost per marker ?

Answers

Answer:

0.54 cents

Step-by-step explanation:

Answer:

$0.54

Step-by-step explanation:

12.96 / 24 = 0.54 per marker

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?

Answers

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

PLEASE HELP
show work for problem

Answers

Answer:

[tex]tan(x)-1 =30/45[/tex]

Step-by-step explanation:

put that in your calculater

Does anyone know how to solve this?

Answers

Answer:

You can use this step to answer your question

Step-by-step explanation:

he vector projection of #vecu# onto #vecv# is

#=(vecu.vecv)/(||vecv||^2)*vecv#

The dot product is

#vecu.vecv=<3,15>.<-1,5>=-3+75=72#

The modulus of #vecv# is

#||vecv||=||<-1,5>||=sqrt(1+25)=sqrt26#

The vector projection is

#=72/26<-1,5> = 36/13<-1,5>#

The scalar projection is

#(vecu.vecv)/(||vecv||)=72/sqrt26#

187 times 280 equals what

Answers

Answer:

<3<3<3<3<3<3<3

52,360

<3<3<3<3<3<3<3

Answer:

52,360

Step-by-step explanation:

If A > B, where on the number line will A appear?

Answers

Answer:

It will apear right after B and we can see it on the right side of B .

Question 6 of 10
Table A
Table B
х
у
х
y
4
1
1
4
8
2
2
8
12
3
3
12
Graph A
Graph B
11
10
12
11
10
9
8
7
6
8
6
5
4
6 7 8 9 10 11 12
1
2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 4x?
A. Table A and graph B
B. Table B and graph A
C. Table A and graph A
D. Table B and graph B

Answers

Table B and Graph B is the correct answer

The table and graph that represents the equation y = 4x are (D) table B and graph B

From the tables, we have:

Table A: (x,y) = (4,1), (8,2) and (12,3)

Table B: (x,y) = (1,4), (2,8) and (3,12)

From the above highlights, we can see that the y values of table B is 4 times its x values.

So, the equation of table B is:

y = 4x

The above illustration is applicable to graph B

Hence, the table and graph that represents the equation y = 4x are (D) table B and graph B

Read more about functions at:

https://brainly.com/question/15602982

Find the unit rate. Round to the nearest hundredth, if necessary.

$290 for 13 ft2

Answers

To nearest hundredth if necessary 5.6

will give brainliest! please help quick

A can of soup is 12 cm tall and has a radius of 4 cm.

What is the volume of soup that the can will hold?


48π cm³

80π cm³

144π cm³

192π cm³

Answers

Answer:

192π cm³

Step-by-step explanation:

First, do π(4^2). Then, multiply that times the height. So, 50.24 x 12 = 602.88. But, the question is asking your answer in terms of π. So, do 4^2 x 12. So, 4^2 x 12, gives you the answer: 192. Now change that to make it in terms of π. So, your answer will be: 192π cm³

Answer:

give other brainliest

Step-by-step explanation:

algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in picture

Answers

Answer:

13x^2+2x+5

Step-by-step explanation:

that is the right answer

You have to combine the like terms.

Answer:

[tex]40x^{4}[/tex] - [tex]9x^{3}[/tex] + [tex]46x^{2}[/tex] + 6x + 16

Step-by-step explanation:


fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO

Answers

Answer:

D and e

Step-by-step explanation:


12 is 15% of what number?

Answers

Answer:

80

Step-by-step explanation:

Go to go ogle

A multiple-choice test consist of 100 questions. A correct answer is with 2 Marks While an incorrect answer is worth -1 Marks if a student received a score of 80 how many questions did the student answer incorrectly?

Answers

Answer:

im guessing 20 questions are incorrect

Step-by-step explanation:

HELP PLZ AND THANKS
The figure represents the graph of the function y=-x^4 -4x³ +14x² +14x -n which of the following could be the value of n? (A) -50 (B) -18 (C) 50 (D) 100 (E) 150

Answers

Answer:

the point(0,50) is located in this graph. so :

50= -4(0)³ + 14(0)² +14(0) -n →

50=-n →

n=-50

A is correct answer.

PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps

Answers

Answer:

x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+5)^2=21

Step 1: Simplify both sides of the equation.

4x^2+40x+100=21

Step 2: Subtract 21 from both sides.

4x^2+40x+100−21 =21−21 4x^2+40x+79=0

For this equation: a=4, b=40, c=79

4x^2+40x+79=0

Step 3: Use quadratic formula with a=4, b=40, c=79.

x= −b±√ b^2−4ac/2ax

= −(40)+√ (40)^2−4(4)(79)/2(4)

x = 40^2±√ 336/8

x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21

Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21

( I hope this was helpful) >;D

will name the brainliest

Answers

Answer:

Its the last answer choice (4b^2)

Step-by-step explanation:

Find the surface area of the cube show below
2/3

Answers

Answer:

Step-by-step explanation:

there are 6 sides on a cube

surface area = 6 times the area of one face of the cube

                     = 6 times ( a side times another side)      note all sides are equal

                     = 6(side)²         is a side equal to 2/3 ??   if it is ....

                     = 6(2/3)²

                     = 6(2/3)(2/3)     one of the 3s divide into 6 twice

                     = 2(2)(2/3)

                     = 2³ / 3

                     = 2x2x2 / 3

                     = 8 /3

                     = 2 and 2/3  units²

-18=d+4
me and my friends are stuck

Answers

the answer is x = -22
d=-22 i hope i helped you in some type of way lol

55+16=
13x4=
9-2=
3/5
how much wood could a wood chuck chuck if a wood chuck could chuck wood?

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

55 + 16 = 71

13 × 4 = 52

9 - 2 = 7

3/5 = 0.6

Thomas reasoned that if a woodchuck could chuck wood, he would chuck an amount equivalent to the weight of the dirt, or 700 pounds.

Hope it helps!

Mark me brainliest plz.....

Follow me!!!

Please help
Round your answer to the nearest hundredth

Answers

I think angle B is 45 degrees

9.


A. She used y-values where she should have used x-values.

B. She did not keep the order of the points the same in the numerator and the denominator.

C. She mixed up the x- and y-values.

D. She should have added the values, not subtracted them.

Answers

Answer:

B. She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

The formula to calculate slope is:

[tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex]

She instead used this formula:

[tex]\frac{y_{1}-y_{2}}{x_{2}-x_{1}}[/tex]

The student made the mistake of not keeping the numerators and denominators in the same order.

How many square feet of outdoor carpet will we need for this hole?​ ASAP

Answers

Answer:

39 sq.ft

Step-by-step explanation:

Fig = rectange 1 +rectange 2

Area of rec 1 = l x b = 3 x 2 = 6 ft2

Area of rec2 = l x b = 11 x 3 = 33ft2

Area of whole fig = area of rec 1+ area of rec 2 = 33+6 = 39 sq.ft

I hope im right!!

Answer:

The answer is 39 square ft

Step-by-step explanation:

first we have to divide it into parts.

I did:

11 by 3

and

3 by 2

so 11x3=33

and 3x2=6

so 33+6=39 square ft

find the values of the following
(a) -5×4+3×-6​

Answers

Answer: -26+3x

-5×4+3×-6​

Simplifies to:

-20+3x-6

Please help me with 1 to 5 and please graph all to 1 to 5 in a note book and show me how you get the answers from 1 to 5

Answers

Answer:

Download the app Photomath

Which line is a graph of the equation: 2x + 5y = -10?
A line a
B line b
C line c
D line d

Answers

Answer: D. line d

Step-by-step explanation:

Answer: D. line d

A function is general describe as y = mx + b, so we need to set this function in y form.

2x + 5y = -10

       5y = - 2x - 10             (Subtract 2x from both side, to make sure there are only y value in the left side)

         y = - 2/5x -10/5       (Divide by 5 from both side)

         y =  -2/5x - 2           (Simplified)

-2/5x was the m or the slope, it shows how the line was change. -2/5x is negegative, which means is decreasing, and going downward, only line b and d fits.

-2 is the y-intercept, where y is equal to 0, (-2,0)

The y-intercept for line b is (2,0), so it can't be. Thus, the y-intercept for line d is (-2,0), so it fit.

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Which polynomial is written in standard form ?

Answers

9514 1404 393

Answer:

  H

Step-by-step explanation:

Standard form has the highest-degree term first. That is the case only for the polynomial of H.

(The degree of a term is the sum of the exponents of its variables.)

Dylan bought 3 identical shirts and a $20 pair of shorts from the store. His total cost was $56. How much did each shirt cost?

Answers

Answer:

12$

Step-by-step explanation:

56-20=36

36/3=12

12

please help! solve for the value of y

Answers

Answer:

26

Step-by-step explanation:

5y-3+2y+1=180

7y-2=180

7y=182

y=26

99 is what percent of 718

Answers

Answer:

99/718 x 100 =

Step-by-step explanation:

Would be your expression.

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