Solve the absolute inequality: |4x-5| >3

Answers

Answer 1

Answer:

x > 2 or  x < 1/2  

Step-by-step explanation:

|4x - 5| > 3

         Case 1                         Case 2

  4x - 5 > 3                           - (4x - 5) > 3

  4x > 5 + 3                          - 4x + 5 > 3

   4x > 8                               -4x > - 5 + 3

      x > 2                               -4 x  > - 2

                                               -x > -2/4   multiply by -1  to make "x" positive and

                                                                this action with change all signs :  

                                                                 any negative becomes positive and

                                                                 > becomes <

                                               x < 2/4

                                                x < 1/2              

   


Related Questions

Can some help me plzzzz

Answers

Answer:

Should be 9 grams

Step-by-step explanation:

240÷40=6 576÷2÷2÷2÷2÷2÷2=9

question in doc below .

Answers

The answer is:

y=2x+3

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?

Answers

Answer:

The credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

Step-by-step explanation:

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

:

20 + 3xy - 4xy +y2 + 10 -y2

Answers

Answer:

−xy−y2+2y+30 is the answer simplified

It t takes a snail 10 seconds to move 1 centimeter.


How many centimeters does said snail move after 2 seconds?
2.5?

Answers

answer is 0.2 using cross multiplication.

Answer:

in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.

Step-by-step explanation:

what is the value x in following sequences 3,12,x,48,75,...​

Answers

Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

what is the difference of 256,805+136,667

Answers

The difference is 120138 (if you are subtracting)
If you’re adding it’s 393472

THE FIRST ONE TO GET IT CORRECT GETS 100 POINTS PLEASE

Answers

Answer:

B should be correct

Step-by-step explanation:

hope this helped

mark me brainliest

plus... this aint no 100 points... just such a scam...

i just did it cause i help ppl. i dont look at points...

Answer:

Your answer would have to be the last one ( [tex]a^{-7}[/tex]).

Step-by-step explanation:

Hope this helps!

If the red marker is red why isn’t the blue marker blue when it rains...?

Answers

Answer:

Yes.

Explanation:

6.
Identify the vertex of the parabola.



A. (−4, 0)

B. (−3, 1)

C. (1, −3)

D. (−1, −3)

Answers

Step-by-step explanation:

the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.

so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).

so, B is correct

Answer:

B. (−3, 1)

Step-by-step explanation:

-3, 1 is the vertex I believe

-3,1 should be the one

Write the slope-intercept form of the equation of each line given the slope and y-intercept.
6) Slope = -3, y-intercept = 3
7) Slope = -4, y-intercept = 5

Answers

Answer:

6) y= -3x+3

7) y= -4x+5

Step-by-step explanation:

A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?

Answers

Answer:

3 hours

Step-by-step explanation:

each hour is 2,000 gallons filled up 1 hour = 2,000

                                                           2 hours = 4,000

                                                           3 hours = 6,000or 4,850

If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

How many hours has the swimming pool been filling up with water?

Given that;

24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.

The pool is filled with 2,000 gallons in 1 hour

To fill with 4850 gallons, we require x hours

Cross multiply, hence;

x = ( 1hr × 4850 gallons ) / 2,000 gallons

x = 4850hrs / 2000

x = 2.4 hours

Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.

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Slope between (6,-11) and (2,-1)

Answers

The slope would be M= -5/2

Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2

Answers

Step-by-step explanation:

boy, that is hard to decipher ...

but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.

remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, going from N to M :

x changes by (2d - 2b) units.

y changes by 0 units (2c to 2c).

so, the slope of NM is 0/(2d - 2b) = 0.

going from K to L :

x changes by (2a - 0) = 2a units.

y changes by 0 units (0 to 0).

so, the slope of KL is 0/2a = 0.

R and S are the middle points between K and N, and between L and M.

R = ((2b+0)/2, (2c+0)/2) = (b, c)

S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)

so, going from R to S :

x changes by (d+a-b) units.

y changes by 0 units (c to c).

so, the slope of KL is 0/(d+a-b) = 0.

as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.

Hope I helped! Have a nice day! Really hope this helps k12 students!

Which set of ordered pairs does not represent a function?

O {(-7, -8), (-7,5), (-6,0),(-1,8)}

O {(-2,4), (6,-5), (-6, -9), (1, -5)}

{(8, -2), (3,9), (-1, -5), (-3,9)}

{(9,7), (2,7), (-8, -3), (-1,1)}

Answers

Answer:(-7, -8), (-7,5), (-6,0),(-1,8)

Step-by-step explanation:

Functions are relations with one output (y) for any unique input (x).

The first set has two values of y when x = -7:  -8 and 5.

The other sets have unique values for each x.

5) How would you break down 40% to find 40% of a number? Check all
that apply.
2 points
4(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%

Answers

Answer:

(A) and (C)

Step-by-step explanation:

4(10%) and 10%+10%+10%+10%+

Answer:

4(%10) = 40%

and

10% + 10% + 10% + 10% = 40%

among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.

a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these​

Answers

The answer is d) none

3x=15 question answer

Answers

Answer:

x=5

Step-by-step explanation:

To solve for the value of x, you have to get x by itself.  So to get rid of the 3, divide both sides by 3.  3x/3 leaves x.  15/3 leaves 5.  So you're left with x=5.

The solution of expression 3x = 15 is,

⇒ x = 5

We have to given that,

An expression to simplify,

⇒ 3x = 15

We can simplify the expression for value of x,

⇒ 3x = 15

Divide both side by 3,

⇒ 3x/3 = 15 / 3

⇒ x = 5

Therefore, The solution of expression 3x = 15 is,

⇒ x = 5

Learn more about the mathematical expression visit:

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Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality. True or False and i will brainly list if correct

Answers

Correspondence theories claim that true beliefs and true statements correspond to the actual state of affairs.

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!! I GIVE BRAINLIEST AND POINTS! PLZ NO LINKS I GRINDED FOR THESE POINTS
LOOK AT THE PIC BELOW

Answers

[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]

[tex]\\ \rm\leadsto a[/tex]

Answer:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]

Step-by-step explanation:

Given expression:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]

[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies a^{(2+12)} \div a^{13}[/tex]

[tex]\implies a^{14} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]

[tex]\implies a^{(14-13)}[/tex]

[tex]\implies a^1[/tex]

[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]

[tex]\implies a[/tex]

Learn more about exponent rules here:

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Help help help help help me please

Answers

Answer:

b. y < -9

Step-by-step explanation:

This is because > or < have a dashed boundary line and =< and >= have non-dashed lines.

Resolver para y.
y-14=X ​

Answers

Answer:

y = x + 14

Step-by-step explanation:

y - 14 = x

y = x + 14

Mia and Rosa are on a bike ride. Mia's bike has a 29" diameter wheels and Ross's bike has 26" diameter wheels

Answers

Answer:

he wheels and wheels his bike he has 26 bikes in all the e mia has 29 in all

A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49

Answers

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).

Hence:

[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]

Thus, option c is correct.

A similar problem is given at https://brainly.com/question/24174994

There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.


What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15

15 : 4

5 : 4

2 : 3

Answers

Answer:

4 : 15

Step-by-step explanation:

total cars = 10 + 12 + 8 = 30 , then

yellow : total

= 8 : 30 ( divide both parts by 2 )

= 4 : 15 ( in simplest form )

Answer:

4 : 15 is the correct answer.

Step-by-step explanation:

10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.


need sever help with number 4 , pls explain

Answers

Answer:

1. 35

2. 65

3. 10

4. 115

5. 65

6. 55

7. 125

Step-by-step explanation:

triangles add up to 180 with all 3 sides

Answer:

115°

Step-by-step explanation:

Vertically opposite angles are equal.

X(squared) + 16x +60=0
Solving quadric equations by factorising

Answers

Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

We have x^2 + 16x + 60 = 0
<=> x^2 + 6x + 10x + 60 = 0
<=> x(x+6) + 10(x+6) = 0
<=> (x+10)(x+6) = 0
<=> x+10=0 or x+6=0
<=> x= -10 or x= -6

Ok done. Thank to me:>

If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.

Answers

Answer:

C

Step-by-step explanation:

Hope it can help you lovelots

If 7 > 2, then explain why -7 < -2.

Answer =》C. Because -7 is more negative and further to the left on the numberline than

-2.

______

RainbowSalt2222 ☔

Help me solve this -> g(x) = 2x + 3



g(7)

Answers

Answer:

17

Step-by-step explanation:

g(7) = 2(7) +3

substitution

What is an objective summary?


a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme

a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text

a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas

a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

Answers

Answer:

A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion

Step-by-step explanation:

Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.

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