Classify each inequality by the graph of its solution.

Classify Each Inequality By The Graph Of Its Solution.

Answers

Answer 1

Answer:

Step-by-step explanation:

1).   |10 - 3x| < 12

  ⇒ -12 < (10 - 3x) < 12

  ⇒ -12 -10 < -3x < 12 - 10

  ⇒ -22 < -3x < 2

  ⇒ [tex]-\frac{2}{3}<x<\frac{22}{3}[/tex]

    [Intersection]

2). |8x| ≥ 0 ⇒ -∞ < x < ∞

    [All real numbers]

3). -2|x - 9| > 6

    ⇒ |x - 9| < -3

    [No solution]

4). |2x + 9| + 7 ≥ 6

   ⇒|2x + 9| ≥ -1

   ⇒ (2x + 9) ≥ -1

   ⇒ x > -5

   Or (2x + 9) ≤ -1 ⇒ x < -5

   -∞ < x < ∞

   [All real numbers]  

5). |-3 - x| ≥ 5

    ⇒(-3 - x) ≥ 5

    ⇒-x ≥ 8

    ⇒ x ≤ -8

    Or -(3 + x) ≤ -5

    ⇒ x + 3 ≥ 5

    ⇒ x ≥ -2

     [Union]    

6). -18 + |x + 9| ≤ -5

    ⇒ |x + 9| ≤ 13

    ⇒ -13 ≤ (x - 9) ≤ 13

    ⇒ -4 ≤ x ≤ 22

     [Intersection}


Related Questions

bowling cost $25 per game. the bowling fans want to play more than 1 game of bowling. write an expression to help you find the cost of bowling more than 1 game.

Answers

Answer:

25×(amount of games)

Step-by-step explanation:

so we know that its 25$ per game so if we use the answer I gave so let's say we did 4 games then it would be 25×4.

Are the following ratios equivalent 5:7 and 30:35

Answers

Answer:

no

Step-by-step explanation:

Try doing cross multiplication 5/7 = 30/35,

7x30=5x35

210=175

those don't match so no the answer is no

(Just because I'm a high schooler doesn't mean that I'm not capable of doing this)

Answer:no they aren’t

Step-by-step explanation:although

25/35 are equivalent

What are all the numbers with two decimal places that are less than 6.3 but can be rounded to 6.3

Answers

Answer:

6.25, 6.26, 6.27, 6.28, 6.29

its proportions I'm In number 2​

Answers

Answer:

32.50

Step-by-step explanation:

giuggjgv

At the end of the night, Mrs. Johnson works with the student council to determine their profit on the fundraiser. The least popular item was chips, in which they sold only 21 bags. The chips cost a total of $48.10. Were the chips profitable? Explain your reasoning.


(Each chip bag cost $1.75)

Answers

Answer:

If they were the least profitable item then from basic logic I would say no they are not. I'm sorry I have come across a dead-end here. Hope this helps.

Step-by-step explanation:

Estimate the following quotient using scientific notation:
82,148,000,000
3,812,000??
a. 200
b.2,000
c.20,000
d.200,000

Answers

Answer:200=2.10 ^2

2,000=2.10^3

20,000=2.10^4

200,000=2.10^5

in other words B

Step-by-step explanation:

Can someone explain how to do it aswell please and thank you

Answers

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

What is the degree of the following polynomial?
x^4+10x^3-12x^2+5x-15
15
4
9
10

Answers

Thw degree is 4 :).

The perimeter of the triangle below is 85 units. Find the length of side AC.
Write your answer without variables

Answers

Answer:

40 units

Step-by-step explanation:

Given:

Perimeter of ∆ABC = 85 units

AC = 4z

AB = 3z + 3

BC = z + 2

Required:

Numerical value of AC

SOLUTION:

Perimeter of ∆ = sum of all its sides

Perimeter of ∆ABC = AC + AB + BC

85 = 4z + (3z + 3) + (z + 2)

Use this equation to find the value of the variable, z

[tex] 85 = 4z + 3z + 3 + z + 2 [/tex]

Collect like terms

[tex] 85 = 8z + 5 [/tex]

Subtract 5 from both sides

[tex] 85 - 5 = 8z [/tex]

[tex] 80 = 8z [/tex]

Divide both sides by 8

[tex] 10 = z [/tex]

[tex] z = 10 [/tex]

AC = 4z

Plug in the value of x

AC = 4(10)

AC = 40 units

Consider the figure below to complete the statement.

Answers

Answer:

28

Step-by-step explanation:

yall are so wrong its most def 28

What is the slope of the line through (1,0) and (3,8)​

Answers

The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise). m=4

Answer:

4

Step-by-step explanation:

m = 4

Mia may account answers

Answers

Answer:

I would love to answer you questions

Step-by-step explanation:

But may you please specify or is this a joke?

Grammar please fix

"Mia may want account answers"

If that's your question, what could I help you with

Help quick in timed and I don’t have a lot left

Answers

Answer:

Should be the 2nd choice.

Scooter a cross-country skier skied at a rate of 10.82 miles per hour in 2.45 hours Des care covered 2.65 09 miles is this
correct explain why or why not

Answers

No, the estimate of 11 × 2 = 22 tells us that 2.6509 is too small and the decimal point is placed incorrectly. The product has four decimal places and should have been 26.5090, but a missing zero on the end caused the decimal to end up in the wrong position.

PLEASE MARK BRAINLIEST

PLEASE HELP ME IT IS DUE TODAY

Answers

Answer:

I'm not really sure about this.

3a = 24 :

A teacher brought 24 apples to school.

She gave three of her students an unknown number of apples.

How many apples did each student collect?

Step-by-step explanation:

But I'm totally sure about this

x -7=6 :Lily brought an unknown number of apples to school .She gave out seven of those apples to her friends at the end of the day she had six apples remaining .how many apples did she bring to school?

Best of luck

solve the square root of 8x + 4 = 6

Answers

Answer:x = 4

Step-by-step explanation:

Parallel lines n and p are intersected by transversal lines q and m as shown in the figure below. Lines q, m, and p intersect at a common point

Answers

Answer:

Is the question where they intersect? If so which points?

Step-by-step explanation:

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Inflation causes things to cost more, and for our money to buy less. Suppose inflation decreases the value of money by 1.1% each
year.
How much will $ 200 buy you in 14 years?


PLEASE HELP!!!

Answers

Answer: $171.31

Step-by-step explanation:

A = P(1 - r)ⁿ

Given: P = 200, r = 1.1% (.011), n = 14

A = 200(1 - .011)¹⁴

  = 200(.989)¹⁴

  = 171.308

Since we are talking about money, round to two decimal places.

Math/Mechanics (please help! I have an exam tomorrow and desperately need practice!!!)

Answers

Answer:

Ta = 19.6 NTb = 12.74 N

Step-by-step explanation:

Let A and B represent the angles that PA and PB make with the horizontal, respectively. Let Ta and Tb represent the tensions in PA and PB, respectively. Then for equilibrium, we have ...

  Ta·cos(A) - Tb·cos(B) = 0 . . . . . horizontal equilibrium

  Ta·sin(A) +Tb·sin(B) = T . . . . . . where T is the downward force exerted by P

__

The general solution of this pair of equations is ...

  Ta = T·cos(B)/(sin(B)cos(A) +sin(A)cos(B)) . . . by Cramer's rule

which simplifies to

  Ta = T·cos(B)/sin(A+B)

  Tb = T·cos(A)/sin(A+B) . . . . by symmetry or Cramer's rule

If we call the position of the right angle point X, then the Pythagorean theorem tells us AX = 30 (3-4-5 triangle) and BX = 96 (5-12-13 triangle). Then the cable tensions are ...

  Ta = T·(12/13)/(12/13·4/5 +3/5·5/13) = T·(20/21)

  Ta = (2.1 kg)(9.8 m/s²)(20/21) = 19.6 N

  Tb = T·(3/5)/(63/65) = T·(13/21)

  Tb = (2.1 kg)(9.8 m/s²)(13/21) = 12.74 N

These tension values can be rounded to Ta = 20 N, Tb = 13 N.

_____

The weight of P is ...

  F = Ma = (2.1 kg)(9.8 m/s²) = 20.58 N

It's an overcast day in Hayward and you're waiting for AC Transit 97 Bus Line to show up. Your weather app says there's a 30% chance of rain that day. You know that if it rains, the probability that the bus runs late is 40%. If it doesn't rain, the probability that the bus runs late is only 15%. Use proper notation to state the probabilities. (a) What is the probability that it will rain and the bus will be late? (b) What is the probability that the bus will be late? (c) Given that the bus ran late, what was the probability that it was not raining?

Answers

Answer:

a

 [tex]P(r n L) =  0.12[/tex]  

b

 [tex]P(L) = 0.225[/tex]

c

  [tex]P(\= r | L) = 0.4667 [/tex]

Step-by-step explanation:

The chance that it will rain is  [tex]P(r ) = 0.30 [/tex]

 The chance that it does not rain is [tex]P(\= r ) = 1 - P(r )  [/tex]

                                                             [tex]P(\= r ) = 1 -0.30  [/tex]

                                                              [tex]P(\= r ) = 0.70  [/tex]

The probability that the bus run late if it rains is  [tex]P(L | r) = 0.4[/tex]

 The probability that the bus run late if it does not rain is   [tex]P(L | \= r) = 0.15[/tex]

  Generally the probability that it will rain and the bus will be late is mathematically represented as

     [tex]P(r n L) = P(L | r) * P(r)[/tex]

=>  [tex]P(r n L) = 0.4 * 0.30[/tex]

=>  [tex]P(r n L) = 0.12[/tex]  

Generally the probability that the bus will be late is mathematically represented as

     [tex]P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)[/tex]

=>  [tex]P(L) = 0.30 * 0.4 +0.15*0.70[/tex]

 =>  [tex]P(L) = 0.225[/tex]

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

      [tex]P(\= r | L) = 1- P(r | L )[/tex]

Here  [tex]P(r | L ) = \frac{P(r n L)}{P(L)}[/tex]

=>   [tex]P(r | L ) = \frac{0.12}{0.225}[/tex]

=>   [tex]P(r | L ) = 0.533 [/tex]

So

      [tex]P(\= r | L) =  1- 0.533[/tex]

   =>   [tex]P(\= r | L) =  0.467 [/tex]

there are 4 possible first steps for solving 4x - 3 = 9 -5x

Answers

Answer:

1 1/3

Step-by-step explanation:

4x-3=9-5x

9x=12

x=12/9

x=4/3

x= 1 1/3

1 1/3 ik it I did it today

Whoever gets this right i will put them as brainliest?

Answers

Answer:

Is it c?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-2 - 6 equals -8.

PLZ MARK BRAINLIST AND RATE THIS

184.36

9,027.83

Which number has the smaller value of the 8? How many times

smaller is it?

Answers

Answer:

9,027.83

100 times smaller

Step-by-step explanation:

Given 184.36, the place value of 8 in the number is 8 tens i.e 8* 10 = 80

The place value of 8 in 9,027.83 is 8 tenth i.e 8* 1/10

8* 1/10 = 8/10

8/10 = 0.8

Hence the number that has the smaller value of 8 is 9,027.83.

To get how many times smaller the number is, we will take the ratio of 80 to 0.8 as shown:

[tex]= \frac{80}{0.8}\\ \\= 80 \div 0.8\\\\= 80 \div \frac{8}{10} \\\\[/tex]

[tex]= 80 * \frac{10}{8}\\ \\= \frac{800}{8}\\ \\= 100[/tex]

This means that the number 0.8 is 100 times smaller than 80

a 2-lb bag for $5.39
a 5-lb bag for $12.99
Which size bag is the best price per pound?

Answers

Answer: 5-lb bag for $12.99

Step-by-step explanation: I multiplied 2 x 2.5 and 5.39 x 2.5. It was more than $12.99. This means that the 5 pound bag is less expensive.

What is the decimal equivalent of 18/5?


A. 3.6

B 18.5
_
C 3.6
_
D 0.27

Answers

Answer:

A

Step-by-step explanation:

use division to get 3.6

Answer:

3.6 is equivalent to [tex]\frac{18}{5}[/tex]

Step-by-step explanation:

Gregory is 4 times as old as his brother Nicholas. Their combined age
is 15. How old is each boy?

Answers

Answer:

Gregory is 11yrs old

Step-by-step explanation:

If you count down from 15 to 4 you get to the number 11 so if Gregory is 11 yrs then that means his brother is 7 yrs old.

Find the measure of B

A. 65
B. 91
C. 30

Answers

Answer: x=30

Step-by-step explanation:

Set them all equal to 180

so it would be 180=x+2x-1+3x+1

isolate x by adding or subtracting the 1

180=6x

x=30

Please helpppp it’s due at 5 part 1

Answers

Answer:

I think the first one is B

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?>{

Answers

Answer:

C) 1

Step-by-step explanation:

Mr. Lopez and Ms. Spence both went on separate road
trips this summer. Ms. Spence drove 873 total miles and
Mr. Lopez drove 77 more miles than Ms. Spence. How
many miles did Mr. Lopez drive on his road trip?

Answers

Answer:

950 miles

the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles

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