Solve for x in the following inequality: 3(-2x - 4) > 18

Answers

Answer 1

Answer:

x < -5

Step-by-step explanation:

3 ( -2x - 4 ) > 18

→ Expand the brackets

-6x - 12 > 18

→ Add 12 to both sides

-6x > 30

→ Divide both sides by -6

x < -5

Answer 2

Answer:

[tex]\boxed {\boxed {\sf x< -5}}[/tex]

Step-by-step explanation:

We are asked to solve the following inequality for x.

[tex]3(-2x-4) > 18[/tex]

Solve for x by isolating it and performing the inverse operations.

3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.

[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]

[tex](-2x-4) > \frac{18}{3}[/tex]

[tex]-2x-4 > 6[/tex]

4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.

[tex]-2x-4+4 > 6+4 \\[/tex]

[tex]-2x > 10[/tex]

x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.

[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]

[tex]x> \frac {10}{-2}[/tex]

Since we divided by a negative number, the inequality sign must be flipped.

[tex]x< \frac{10}{-2}[/tex]

[tex]x < -5[/tex]


Related Questions

Help me with this question

Answers

Answer: The angle is a acute angle not obtuse angle.

Step-by-step explanation:

Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)

Answers

I need glasses I can’t see your handwriting

What is the equation of the line that passes through the point (8,6) and has a slope of
{3}{2}

Answers

What is your slope? If you said 3/2 then it would be: y=3/2x-6

12*100 please do it im in a hurry

Answers

Answer: 1200

Step-by-step explanation:

12*100 = 1200

Add the two 0’s in 100 to the end of 12 and get 1200

Help help help help hell

Answers

Answer:

51°

Step-by-step explanation:

angle2 is equal to 51 degrees

Answer:

∠2 = 51°

Step-by-step explanation:

These are consecutive interior angles that add up to 180°. Same as the other problem, you can solve for the angle like this:

[tex]x+129=180\\x=51[/tex]

Using the graph of f(x) and g(x), where g(x) = f(-x), determine the value of k
10
9
8
g(x)
f(x)
7
6
5
4
4
3
2
0
0
3
5
6
7
8

0-1
-4
ANSWERS:
4
1/4
-1/4
-4

Answers

Answer:

45

Step-by-step explanation:

(f+g)(x)

f(x)= x-3, g(x)= 2x+8

PLS HELP ASAP PICTURE ATTACHED

Answers

Answer:

100000+)9(87)238388292838

-2 2/3 divided by 1 5/6 + 2
NO MIXED NUMBERS

Answers

Answer:

14/15

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

-2 2/3 divided by 1 5/6 = -16/11 and when you add two to that you get 6/11.

simplify the expression (9n+ 4)-(-1/2n-7)

Answers

Answer:

9 1/2n + 11

Step-by-step explanation:

9n + 1/2n + 4 + 7

9 1/2n + 11  or 19/2n + 11

Which of the following is true about the relation shown below?
The relation is not a function, and its range is (-1,2,3,5).
The relation is a function, and its range is (-1, 2, 3, 5).
The relation is not a function, and the range is (-2,-1, 1, 3, 4).
The relation is a function, and the range is (-2,-1, 1, 3, 4).

Answers

Answer:

Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)

Help me plssssss im stuck I will give brainly

Answers

Answer:

Kate.

Step-by-step explanation:

Answer:

Kate, 29.26 is correct

Step-by-step explanation:

99.91 - 70.65 is 29.26

Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math
classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?

Answers

Answer: 68%

Step-by-step explanation:

The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.

There are 17 total math and history rooms, and 25 rooms total.

17/25 = .68

Multiply that by 100 to get the percent and the answer is 68%

What is the solution to 12x=4x2+9? x=23

Answers

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

Find the slope of the line passing through the points (3,-1) and (3, -6).

Answers

Answer:

Undefined

Step-by-step explanation:

Slope formula:

y2-y1/x2=x1

In (3,-1), 3 is x1 and -1 is y1

In (3, -6), 3 is x2 and -6 is y2

-6-(-1)/3-3

Which is -5/0

And that couldn't happen in a slope

So the answer is undefined

Hope this helps!

Don has seven pairs of​ shoes, three pairs of​ pants, and six shirts. If all items are​ compatible, how many different outfits can he​ wear?

Answers

Answer:

126

Step-by-step explanation:

There are 126 different ways he can wear the outfit.

What is Combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Number of pairs of shoes= 7

Pants= 3 pairs

Shirts= 6

So, different outfits can he​ wear

= 7 x 3 x 6

= 21 x 6

= 126

Hence, there 126 different ways he can wear the outfit.

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im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent

Answers

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 more cupcakes are needed.

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Factor the expression:
16x^2+25

A) (4x-5i)(4x-5i)
B)(4x-5i)(4x+5i)
C) (4x-5)(4x+5i)
D (4x+5)(4x-5)

Answers

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

Answer:

Answer:

 B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

 a² -b² = (a -b)(a +b)

__

Here, we have ...

 a² -b² = 16x² -(-25)

 a² = 16x²   ⇒   a = 4x

 b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

 (a -b)(a +b) = (4x -5i)(4x +5i)

Step-by-step explanation:

answer thisssssssssssssss

Answers

Angles ACE and BAC are congruent because they are alternate interior angles
ACE = 115

angles ABC and DCB are congruent because they are alternate interior angles
DCB =35

and for angle ACB we do
ACE + ACB + DCB = 180
115 + ACB + 35 = 180
ACB = 180 - 115 - 36
ACB = 29

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

3/6

Step-by-step explanation:

Answer:

3/6 é a resposta tabom me de coraçãozinho

What is the equation of the line that passes through
(-5, 0) and (4, 3)?

Answers

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

Can someone please give me the answers for both I will mark u brilliant. asp I need answers for both questions

Answers

so 7 x 5.5 = 35.5,

250 x 5.5 = 1375

1/5 of 1375 = 275

2/5 = 550, 3/5 = 825

he spent 825

Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%

Answers

Answer:

mean = 4.5

SD = 1.2

Z value = (3-4.5)/1.2 = - 1.25

Percentage based on z value = 1 - pnorm(1.25) =  0.1056498 = 10.56498%

The response times under 3 minutes is 10.56%

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

mean = 4.5

SD = 1.2

Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25

Percentage based on z value = 1 - pnorm(1.25)

                                                 =  0.1056498

                                                 = 10.56498%

Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.

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How can the equation of a parabola be derived when given the focus and the directrix?


Answers

Answer:

If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .

HOPE ITS HELP

evaluate the expression 5 /6 + -3 /5

Answers

Step-by-step explanation:

[tex] \frac{7}{30} [/tex]

[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]

find the unknown angle can someone help me pls what is this how do i even find the unknown angle

Answers

Answer:

1 135

2 45

3 135

4 45

Step-by-step explanation:

think in terms of supplimentary angles. those that add up to 180

1 and 3 are equal because opposite angles are equal so
3 = 135 degrees
angles in a circle = 360
360 - (135 x 2) = 90
90 / 2 = 45 so
2 and 4 are each 45 degrees

there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether

Answers

I’ll assume the question is asking how many games of ping pong the girls played together.

There’s 4 girls who play ping pong after school, each girl played exactly three games.

Each girl played the same amount of ping pong games. 1 girl played three games, 2 girls played six games and so on.
You multiply the number of girls with the amount of ping pong games that each girl played.

4x3=12

It should be 12

There are total 12 games of ping pong with play altogether by girls.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Total number of girls who play ping pong game after school = 4

And, Each girl play 3 games of ping Pong with each of the other girls.

Now,

Since, Total number of girls = 4

And, Each girl play 3 games of ping Pong with each of the other girls after school.

Hence, Total number of games of ping pong game with play altogether by girls is;

= 4 x 3

= 12

Therefore,

There are total 12 games of ping pong game with play altogether by girls.

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Pls help asap thank you

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

Please help me with this. thank you. :)

Answers

Answer:

11,550

Step-by-step explanation:

1200- 675( because its descending) + 250 ( its ascending) - 525 = 11,550

Guys please i need help on this, i will give brainliest to the right answers

Answers

i think the answer is 4 hope it helps

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