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

Please help me quickly

Answers

Step-by-step explanation:

a full circle (turning around a point a full turn) is 360°.

so, all these angles together must be 360°.

90 + 33 + 165 + 20 + x = 360

308 + x = 360

x = 52°

Evaluate the function.
f(x) = 2x2 – 15
Find f(-2)

Answers

Answer:

[tex]f(-2)=-17[/tex]

Step-by-step explanation:

[tex]f(-2)=2(-2)^2-25\\\\f(-2)=2(4)-25\\\\f(-2)=8-25\\\\f(-2)=-17[/tex]

f(x) = 2x² - 15

f(-2) = ?

Substitute -2 in the place of x.

f(x) = 2x² - 15

f(-2) = 2(-2)² - 15

f(-2) = 8 - 15

f(-2) = -7

______

Hope it helps :)) ⚜

SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?

Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths

Answers

Answer:

It's the first one. Why?

I converted all the mixed fraction into simplified form.

3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] +  [tex]\frac{5}{7}[/tex]

I divided the denominator of 11/3 by 42. 42/3=14

and 5/7. 42/7, which is 6.

So I concluded the first answer was right because it didn't work out for the other variables.

I hope the answer was right, and I hope you have a great day luv. Bye!

Mr. Chin's hotel bill is $143. He leaves 12% of the hotel bill as a tip for the housekeeping service. What is the total amount Mr. Chin pays, including tip? $160. 16 $165. 00 $170. 50 $174. 46.

Answers

Answer:

$160.16

Step-by-step explanation:

Well first you need to find 12% of 143.

100%=143

10%=14.3

2%=2.86

12%=17.16

Now we add 17.16 to 143 to get 160.16. This means he pays $160.16.

Urgently please it is due today

Answers

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

Somebody, please help me with this MATH question.

Answers

Answer: F(x)= 4,800(1.5)^X

6 friends paid for a parking ticket each. Each ticket had a surcharge extra of $11 per ticket. The total they paid for their parking was $186. What was the price of each ticket without the surcharge?

Answers

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.

The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?

180 food tickets and 293 ride tickets
180 food tickets and 350 ride tickets
293 food tickets and 180 ride tickets
350 food tickets and 180 ride tickets

Answers

Answer:

180 food tickets and 350 ride tickets

Step-by-step explanation:

The number of food tickets sold is 180 and ride tickets is 350.

In order to determine how many of each type of ticket was sold, the two equations given have to be solved simultaneously using the substitution method.

2x + 3y = 1240 equation 1

x = 2y – 10 equation 2

Substitute for x in equation 1

2(2y -10) + 3y = 1240

4y - 20 + 3y = 1240

Combine similar terms

7y = 1240 + 20

7y = 1260

Divide both sides of the equation by 7

y = 1260 / 7

y = 180

Substitute for y in equation 1

2x + 3(180) = 1240

2x + 540 = 1240

2x = 1240 - 540

2x = 700

x = 700 / 2

x = 350

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Please help me please help meeee

Answers

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

find all of the remaining angles

Answers

Step-by-step explanation:

angle 1 = 73°

angle 2 = 107°

angle 3 = 73°

angle 4 = 107°

angle 5 = 73°.

hope this helps you.

3 less than the quotient of a number and 5 is -7

Answers

Answer:   The number is -20

Step-by-step explanation:

Take each part of the sentence and write what it is telling us:

3 less than the quotient of a number and 5 is -7

The quotient of a number and 5 is (X/5), where X is the "number."

3 less than  is (X/5) - 3

is -7  is = -7

Therefore:

3 less than the quotient of a number and 5 is -7 is:  (X/5) - 3 = -7

---

(X/5) - 3 = -7

(X/5)  = -4

X = -20

===

See if this works:

3 less than the quotient of -20 and 5 is -7

(-20/5) = -4

Three kless than -4 is -7:  It works

solve pls brainliest

Answers

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes

Answers

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

What is 93x43 please show your work.

Answers

This answer would be 4,4042

Answer:

The answer is 3,999

Step-by-step explanation:

93 x 43 = 3,999

brainliest :)

Write 1 over 9 as a decimal and round it to 2 decimal places

Answers

Answer:

0.111

Step-by-step explanation:

1/9 as a decimal is 0.11111111 but rounded to 2 decimal places is 0.111.

Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

Triangle JKL has the following measures:

Side JK = 4 cm

Side KL = 7 cm

Angle J = 38°

Triangle PQR has the following measures:

Side QR = 7 cm

Side PQ = 4 cm

Angle Q = 38°

Which statement is accurate about triangles JKL and PQR?

A. They are not congruent

B. They are based on AAS criteria

C. They are based on SSS criteria

D. They are based on SAS criteria​

Answers

The triangles are not congruent.

Option A is correct.

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 ☔

ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).


pls help will mark as brainlist ​

Answers

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

PLS SOMEONE HELP PLSSS

Answers

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

Can someone help me out with this please​

Answers

Answer:

  a. $4200

  b. $32,300

  c. $5814

  d. $30,686

  e. 2557.17

Step-by-step explanation:

a.

The man can claim all of the allowances shown in the problem statement, except the single person's allowance.

  total allowances = married + young child + child in school + dependent relative

  total allowances = $2400 +500 +1000 +300 = $4200

__

b.

The man's taxable income is his income after allowances have been deducted:

  taxable income = gross income - allowances

  taxable income = $36,500 -4,200 = $32,300

__

c.

The tax is found by multiplying the tax rate by the taxable income.

  tax = (tax rate) ×(taxable income)

  tax = 0.18 × $32,300 = $5,814

__

d.

The net income is the gross income less the taxes paid.

  net income = gross income - tax paid

  net income = $36,500 -5,814 = $30,686

__

e.

The man's net monthly salary will be 1/12 of his annual net income.

  net monthly salary = $30,686/12 ≈ $2,557.17

using oliver's table, how can you find the unit rate

Answers

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

How to find the unit rate?

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

Read more about Unit Rate at; https://brainly.com/question/19493296

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Can you write 8x=1 as a quadratic equation?

Answers

Answer:

  yes

Step-by-step explanation:

The root of the given linear equation can be made to be a repeated root of a quadratic equation:

  (8x -1)² = 0

In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type

Answers

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of
rectangle ABCD is 24 in and the perimeter of rectangle EFGH is 48in. If the width
of rectangle ABCD is 2in, then what is the area of rectangle EFGH?

Answers

Answer:

4in

Step-by-step explanation:

The area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that rectangle ABCD is in the same proportion as that of rectangle EFGH.

Perimeter of rectangle ABCD = 24 inch

Perimeter of rectangle EFGH = 48 inch

The ratio of perimeters of rectangle ABCD to EFGH will be :

= 24 : 48

= 1 : 2

It is also given that the width of rectangle ABCD is 2 inch.

Perimeter of triangle ABCD is :

P = 2 ( L + B )

24 = 2 ( L + 2)

L + 2 = 12

L = 10 inch

The area of rectangle ABCD will be :

= 10 × 2

= 20 inch²

As the perimeters of ABCD and EFGH are in ratio 1 : 2.

The area of rectangle EFGH will be :

= 20 × 2

= 40 inch ²

Therefore , the area of rectangle ABCD will be 20 inch² and area of rectangle EFGH will be 40 inch ².

Learn more about area of rectangle here :

https://brainly.com/question/25292087

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Please help me please

Answers

1. she makes a profit

2.300$

3.25%

C.

1.3000$

2.9000$

ok done. Thank to me :>

I'M CONFUSED can anyone explain how to solve/do this ? ​

Answers

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. What can be concluded about this prediction? Check all that apply. The prediction is reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. A prediction cannot be made for a man who is 80 inches tall. A man who is 80 inches tall will likely wear a size 12. 5 shoe.

Answers

Answer:

A and C

Step-by-step explanation:

A. The prediction is reasonable.

C. No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.

__________________________________________________________

Based on the average height-to-shoe size ratio, it is rational to predict that a man who is 80 inches tall would wear a size 16 shoe, even without there being a scatterplot for a height of 80 inches.

800 students were surveyed to find out their favorite subject. 35% chose math. How many students chose math.

Answers

800*.35=280. 280 students chose math

the total surface area of an cube is 294cm2 work out the volume of the cube

Answers

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

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