What is the solution of |2x+5|<19?

Answers

Answer 1

Answer:

[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]

Answer 2

Answer:

The result can be shown in multiple forms.

Inequality Form:

−12< x < 7

Interval Notation:

(−12,7)

Step-by-step explanation:

first write |2x+5|<19 as a piece wise

2x+5≥0

To find the interval for the first piece, find where the inside of the absolute value is non-negative.

[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide

x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2

x ≥ −5/2.

To find the interval for the second piece, find where the inside of the absolute value is negative.

2x+5 < 0

substract by 5

2x < −5

divide by 2x

2x/2< −5/2

simplify to left side

x < −5 / 2

Simplify the right side.

x <  −5/2

In the piece where 2x+5 is negative, remove the absolute value and multiply by −1

− (2x+5) < 19

Write as a piecewise.

{2x+5 <19           x ≥ − 5/2

− (2x+5) < 19      x <− 5/2

Simplify −(2x+5)<19.

{2x+5<19       x≥−5/2

−2x−5<19      x<−5/2

Solve 2x+5 < 19 when x ≥ −5/2.

2x+5<19 for x.

Move all terms not containing x to the right side of the inequality.

2x < 14

divide by 2

x < 7

Find the intersection of x < 7 and x ≥−5/2.

−5/2 ≤x <7

Solve −2x−5 <19 when x <−5/2.

Move all terms not containing x to the right side of the inequality.

−2x<24

divide by -2

x>−12

Find the intersection of x > −12 and x <−5/2.

Find the union of the solutions.

−12 < x < 7


Related Questions

WHO ANSWERS I WILL MARK BRAINLIEST

Jarvis works in a garage for $9 an hour.
If he works on Saturday he is paid time and a half.

If he works on Sunday he is paid time and three quarters.

Last weekend Jarvis worked for FIVE hours on Saturday and TWO hours on Sunday.

Hours paid on Saturday ( Mixed fraction ) =
Hours paid on Sunday ( Mixed fraction ) =
Total hours paid ( Mixed fraction ) =

How much was Jarvis paid last weekend altogether?

Answers

9514 1404 393

Answer:

Saturday: 7 1/2 hoursSunday: 3 1/2 hoursWeekend: 11 hoursWeekend Pay: $99.00

Step-by-step explanation:

Jarvis is paid for 1 1/2 times the number of hours he worked on Saturday. So, for the 5 hours he worked, he is paid for ...

  5 × 1 1/2 = 7 1/2 hours . . . . paid on Saturday

Jarvis is paid for 1 3/4 times the number of hours he worked on Sunday, So, for the 2 hours he worked, he is paid for ...

  2 × 1 3/4 = 3 1/2 hours . . . . paid on Sunday

The total of hours for which Jarvis is paid is ...

  7 1/2 + 3 1/2 = 11 hours . . . . paid for the weekend

At $9 per hour, the amount Jarvis is paid for the weekend is ...

  $9 × 11 = $99.00 . . . . weekend pay

Can anyone help me on this question? Thank you so much! ( ¿Alguien puede ayudarme con esta pregunta? ¡muchas gracias! )

Answers

Answer:

3 cups of milk are required for each cup of flour.

Answer:

3 cups of milk

Step-by-step explanation:

1 cup divided by a 1/2 cup is 2.

1 1/2 cups multiplied by 2 is 3 cups.

what is the answer of 42 x 598 estimate

Answers

well first we estimate the number
42-40
598-600

40x600=24000

Which statement is true?

Please help me

Answers

Answer:

13/14 = 168/182

Step-by-step explanation:

look at the photo.

Which expression is equivalent to the given expression? 10q +5

due at 5:30 pls help asap​

Answers

answer:
a. 5q+5q+5

bcuz:
5q+5q=10q
and
is basically 10q+5
answer would be 5q + 5q + 5

The following ratio table has a mistake. Select the value that does not create an equivalent ratio. Ratio Table 1 2 3 6 5 10 10 12​

Answers

Answer:

10 and 12

Step-by-step explanation:

10 and 12

if I divide 3 and 6 by 3 I get 1/2

if I divide 5 and 10 by 5 I get 1/2

1/2 is the first one listed

I cannot reduce 10/12 and get 1/2, I get 5/6

5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer.

a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.

Answers

Answer:

A

Step-by-step explanation:

It is more likely because there is less of a chance of an outlier. Hope this helps.

A vehicle covers 792 km in 11 liters of petrol . How much distance would it cover in 30 litres of petrol

Answers

Answer: 2160 km

Step-by-step explanation:

Simple Proportion

11 liters -> 792km

1 liter -> 792/11 =72 km

30 liters -> 30*72 = 2160km

Answer:

30 liters -> 30*72 = 2160km

Step-by-step explanation:

30 liters -> 30*72 = 2160km

maek as brain list

Evaluate.

3⋅2^3+5^2−18÷6




25

31

40

46

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's evaluate :

[tex]3(2) {}^{ 3} + {5}^{2} - (18 \div 6)[/tex]

[tex](3 \times 8) + (25) - (3)[/tex]

[tex]24 + 25 - 3[/tex]

[tex]49 - 3[/tex]

[tex]46[/tex]

Answer:

[tex]46[/tex]

Step-by-step explanation:

Hey there,

Before solving the sum you have to know about the BODMAS theorem.

That means you have to solve this sum according to the BODMAS theory.

BODMAS theory is,

B - Brackets

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

Let us solve the sum now.

[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

To the nearest hundredth, 11.6/0.95 is about

Answers

Answer:

12.21

Step-by-step explanation:

A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house. This represents 20% of the total exhibits in the reptile house. How many exhibits are in the reptile house?

Answers

Answer:

75

Step-by-step explanation:

15 is 20% of the total.

The total is x since it is unknown.

20% of the total = 15

20% of x = 15

0.2x = 15

Multiply both sides by 5.

x = 75

18. You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you want to buy a
pair of pants, which will have 4% sales tax.

a.) What is the inequality that represents the amount of money you have to spend?

b.) Given that you can spend no more than $60, what is the most a pair of pants could cost?

Answers

Answer:

a. pants + tax + drink ≤ 60 b. $56.16

Step-by-step explanation:

60-1.5 = 58.5 = money left for pants+tax

58.5/100 = 0.585 = 1%

0.585x 4= $2.34 = highest possible tax

58.5 - 2.34 = $56.16 most

pants + tax + drink ≤ 60

(9+8i)(5-5i) in standard form

Answers



The correct answer hope this helps and Brainliest?

(9+5i)(9+8i)
81+72i + 45i -40
41+ 117i

Answer:

40i²-5i+45

Step-by-step explanation:

(9+8i)(5-5i)9(5-5i)+8i(5-5i)45-45i+40i-40i²45-5i-40i²40i²-5i+45

find the force needed to lift 3000n weight using a machine with a mechanical of 15

Answers

Answer:

20N

Step-by-step explanation:

Force=3000N/15

F=600/3

F=20N

You roll a standard die. You win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. What is the expected value of a single roll?
$3
$2
$9
$18​

Answers

The expected value from a single die roll Given the Conditions stated is $3

The expected value is calculated using the relation :

E(X) = X × P(X)

The table of probabilities from a single roll :

X ___ 6 ___ 0 ___ 0 ___ 0 ___ 0 ___12P(X)_ 1/6__ 1/6 __ 1/6 __ 1/6 __ 1/6 __ 1/6

The expected value calculation :

E(X) = X × P(X)

E(X) = (6×1/6) + 0 + 0 + 0 + 0 + (12 × 1/6)

E(X) = 1 + 2 = $3

Therefore, the expected value of a single die roll is $3

Learn more :https://brainly.com/question/18153040

What is the answer for 2x+34

Answers

Answer:

16

Step-by-step explanation:

2(x + 17)

simplify or factorize

HELP A CHICKEN NUGGET OUT!


What is the value of x−9? 14x−(x+2)=−14 Enter your answer in the box. x−9=

Answers

Here you go i hope this could help you

A kayak rental pavilion charges $15.00 per hour and $2.50 for a brief lesson on kayak safety. The total cost y to rent the kayak for x hours is given by y = 15x + 2.5. Interpret the slope and y-intercept.​

Answers

Answer:

Step-by-step explanation:

Lauren invest $8000

Answers

Answer:

what are you wanting

Step-by-step explanation:

What’s the question?

Find the equation for the line shown

Answers

Answer:

2y-x=0

Step-by-step explanation:

Slope(m)= (5-2)/(10-4)=3/6=1/2

y-intercept(c)=0

y=mx+c

y=1/2*x+0

y=x/2

2y-x=0

5. Ari is playing a board game. After 3 moves he is on
space 17. Ari's first move was forward 2 spaces, and
his third move was forward 7 spaces. What was Ari's
second move? Explain how you found the answer.

Answers

Answer:

8

Step-by-step explanation:

17-(9+2)=8

WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD

Answers

Answer:

don't know Sorry sorry

Answer:

Edit: 2/3 or 5/7

Step-by-step explanation:

Slope(m) = 5-3/7-4 = 2/3

The figure isn't clear for me so i figured it passed through 4 3 as well but if it isn't.

Slope(m) = 5-0/7-0 = 5/7

Evaluate.

−|a+b|/2−c when a=178 , b=−1 , and c=−4

Enter your answer as a simplified fraction in the box.

Answers

a=1-7/8=15/8

b=-1

c=-4

[tex]\\ \sf\longmapsto \dfrac{-|a+b|}{2-c}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{15}{8}-1|}{2-(-4)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-|\dfrac{7}{8}|}{2+4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{\dfrac{-7}{8}}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7}{8(6)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7}{48}[/tex]

Answer:

-7/48

Step-by-step explanation: I took the test

The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds of items with them what is the greatest number of people that can ride the elevator at one time

Answers

11 people. 160+3 = 163. 1800/163 = 11.0429. Since you can not have a part of a person you have to round down to 11

como se redondea un número a la unidad​

Answers

Redondear un número decimal a las unidades
Para redondear un número a la unidad tenemos que fijarnos en la primera cifra después de la coma. Si esta cifra es menor que 5 (1, 2, 3, 4) no debemos hacer nada, pero si esa cifra es 5 o mayor (5, 6, 7, 8, 9) debemos sumar una unidad al número.


For v = -3(r - 3) when r= -1, what does v equal

Answers

Answer: 12

Step-by-step explanation:

v = -3(-1-3)

v= -3(-4)

v= 12

Please can I check with you the answer for nbr 12?
Is it correct?

Answers

Answer:

B and C

Step-by-step explanation:

B = 2,4,6 =3,6C= 2,4,6,8,10,12 = 6,12

No answer choice was submitted. Please try again
A catering company charges $300 plus $40 per guest for a wedding, Sarah and Eric do not want to spend more than 55.000 on
catering. Write and solve aninequality in terms the number of guests, g, that can be invited.
A)
300 - 40g = 5000; 9 2 117
B)
300 - 400 = 5000; g = 118
300 + 40g = 5000; 95 117
D)
300 + 40g = 5000:9 $ 118

Answers

Answer:

6

Step-by-step explanation:

please help!!!! will mark brainlist! am I right??​

Answers

Answer:

you are corcect

Step-by-step explanation:

Help me plz

It’s question 2

Answers

Answer:

angle a is acute and angle b is obtuse

Step-by-step explanation:

Angle A: Acute

Angle B: Obtuse
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