Rewrite each of the following expressions without using absolute value. |2b| if b<0

Answers

Answer 1

Answer:

-2b

Step-by-step explanation:

since

|x| = x if x>0

and

|x| = -x if x<0

then it is -2b

Answer 2

The given modulus function at (b < 0) is written as (f(b) = -2b) and this can be determined by using the properties of the modulus function.

Given :

Expression  --  |2b| where b < 0

The following steps can be used in order to rewrite the given expression:

Step 1 - The generalized modulus function is given by:

f(x) = |x|

Step 2 - When x > 0 the above function becomes:

f(x) = x

Step 3 - When x < 0 the above function becomes:

f(x) = -x

Step 4 - So, the given expression is also a modulus function. The given modulus function at (b < 0) is written as:

f(b) = -2b

For more information, refer to the link given below:

https://brainly.com/question/14070556


Related Questions

PLEASE HELP!!!

In this problem, we will look into the geometric design of the three-petal motif seen in a medieval rose window shown in the picture.

The three major arcs seen in the construction image 1 are congruent. The direct distance between E and J (Chord length EJ) is 193 cm and the depth of each arc (length of LK shown in construction image 2) is 147 cm.

what is the total area?

Answers

The total area of the three-petal motif is [tex]93937cm^2[/tex]

The three petal motif has the structure shown in the accompanying image. the dark gray area is the equilateral triangle. The light gray areas are the major segments of each of the circles.

The area of the three-petal motif, then, is the sum of the area of the equilateral triangle and the three major segments (all of which have the same area)

From the second image

Area of equilateral triangle = [tex]16129cm^2[/tex]

Area of each major segment = [tex]25936cm^2[/tex]

Therefore,

Area of three-petal motif = [tex]16129cm^2+3(25936cm^2)=93937cm^2[/tex]

Check the link for another solved problem on areas of composite shapes:

https://brainly.com/question/11952845

plz help asap plzzzzzzz

Answers

Answer:

64 notebooks

Step-by-step explanation:

We have 24 inches of space, we want to find how many 3/8 inches notebooks fit in that. I'm assuming 24 inches of space is the width.

Therefore:

24÷[tex]\frac{3}{8}[/tex]

or 24×[tex]\frac{8}{3}[/tex]

= 192/3

=64 notebooks

The diameter of a circle is 20 centimeters what is the length of radius blank centimeters edulastic

Answers

Answer:

The diameter is 2 times the radius.

D=2r

Substitute 20 as the diameter and solve for r.

20=2r

Divide both sides by 2.

10=r

So, the radius is 10 centimeters.

:)

Please help me, I have no idea what to do

Answers

Answer:

when x equals -3 y equals -23

when x equals 0, y equals -8

when x equals 3, y equals 7

when x equals 6, y equals 22

Step-by-step explanation:

Answer:

x=-3;Y=-23x=0;Y=-8x=3;Y=7x=6;Y=22

Step-by-step explanation:

this question can be done by replacing the given value of X into the given equation

for the X value of -3 ,Y =5(-3)-8=-15-8=-23

for X=0;Y=5(0)-8 =0-8 = -8

for X=3;Y=5(3)-8 = 15-8 = 7

for X=6;Y=5(6)-8 = 30-8 = 2

I think its helpful

Find x so that al|b. State the converse used.
(4x – 18)

Answers

Answer:

x = 28

Step-by-step explanation:

The transversal is cutting both a and b lines.

In order to a and b be parallel, we should have corresponding angles be of same measure. The angles marked as right angle and the angle marked as (4x - 18) are corresponding angles.

This is:

4x - 18 = 904x = 108x = 108/4x = 28

Please help (I need a step by step explanation.)

Giving 13 points please put answer with step by step explanation

Answers

Answer:

Group A is correct.

Step-by-step explanation:

3 sets($3/set) = $9 - $2 coupon = $7

9 sets($3/set) = $27 - $2 coupon = $25

12 sets($3/set) = $36 - $2 coupon = $34

24 sets($3/set) = $72 - $2 coupon = $70

none of the other groups fit this pattern.

What is the solution for number 61? The answer is 2 according to the book but I cant figure out how to solve. Please help Ill give brainliest

Answers

Answer:

2

Step-by-step explanation:

2 to the second power is 4 and 3 to the second power is 9 if you add 4 and 9 you will get 14. hope i could help:)!

At which values of x does the function F(x) have a vertical asymptote? Check all that apply.

Answers

You get vertical asymptotes because the x-value causes you to try to divide by 0.  

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.  

    You find these by solving  3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5

Solve for Z

-20 = z/10 -22

Answers

It’s false this is my work I hope this helps
The answer is 20, this is explained below

for an inverse variation, y=5 when x=9. The value of the constant of variation is

Answers

Answer:

45

Step-by-step explanation:

In an inverse variation situation, we have mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

So in this case: x*y is a constant

since x=9 and y=5 so

xy = 45

the constant of variation is 45

For inverse function, we usually write it as [tex]y = \dfrac{45}{x}[/tex]

The required solution of the value of the constant of variation is 45.

What is Inverse variation?

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.

Given:

for an Inverse variation, y=5 when x=9

According to given question we have

Relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

x×y  =constant

x×y  =k

Where k is a constant.

By put the value of

y=5 when x=9.

k= 9×5

k=45

Therefore, the required solution of the value of the constant of variation is 45.

Learn more details about Inverse variation, here:

https://brainly.com/question/13715269

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Help me please and Ty

Answers

Answer:

the first sequence is correct.

Step-by-step explanation:

if you rotate it 90degrees and would match up.

(1000÷1)×10-5000 Giving brainliest​

Answers

Answer: The answer is 5000

Answer:

5000

Step-by-step explanation:

1000 divided by 1 = 1000

1000 x 10 = 10000

10000 - 5000 = 5000

Can someone please explain step by step to get marked brainliest!

Answers

Answer:

15 feet per minute.

Step-by-step explanation:

First, convert the units into minutes. If you know that 450 feet is equal to half an hour, or 30 minutes, then to figure out feet per minute, divide 450 by 30. You should get 15 feet per minute.

hope this helps :)

A coat check service charges $2 for the first hour and $1 for each addition hour or fraction of an hour. Which point is not included in the graph of this step function.

A: (2.5,3)
B: (2.0, 3)
C: (3.0, 4)
D: (3.5, 5)

Answers

The points not included in the graph are A: (2.5,3), B: (2.0, 3), C: (3.0, 4) and D: (3.5, 5)

How to determine the point is not included in the graph

From the question, we have the following parameters that can be used in our computation:

Initial service charge = $2

Additional charges = $1 per hour

This means that the charges after x hours is

f(x) = Initial service charge + Additional charges * x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 2 + x

Using the given points, we have

f(2.5) = 2 + 2.5 = 4.25

f(2.0) = 2 + 2.0 = 4.0

f(3.0) = 2 + 3.0 = 5.0

f(3.5) = 2 + 3.5 = 5.5

This means that all of the points are not in the graph

Read more about functions at

https://brainly.com/question/25638609

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Find the percent decrease. Round to the nearest percent.


From 128 pounds to 124 pounds


The percent decrease is
%.

Answers

Answer:

It should be -3.125%

Step-by-step explanation:

(124 - 128)/128 × 100

-4/128 × 100 = -3.125%

Write an equivalent expression for 1/2 of (8x-6) + 2x

Answers

Answer:

6x - 3

Step-by-step explanation:

1/2 of (8x-6) = (8x-6)/2 = 8x/2 - 6/2 = 4x  - 3

then:

1/2 of (8x-6) + 2x = (4x-3) + 2x = 4x + 2x - 3

= 6x - 3

A certain state uses the following progressive tax rate for calculating individual income tax:
Income Range ($) Progressive Tax Rate
0-3000 2%
3001-5000 3%
5001-17,000 5%
17,001 and up 5.75%
Calculate the state income tax owed on a $50,000 per year salary.
tax = $[ ]
Round your answer to the nearest whole dollar amount.
*NEED HELP ASAP!*

Answers

9514 1404 393

Answer:

  $2618

Step-by-step explanation:

The total tax due will be the sum of the amounts due in each bracket.

  2%×$3000 +3%×(5000 -3000) +5%×(17000 -5000) +5.75%×(50000 -17000)

  = 60 +60 +600 +1897.50 = $2617.50 ≈ $2618

The state income tax on $50,000 is $2618.

Find the slope of the line using the graph. Write an equation of the line using the graph.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

yeah-ya ...... right?

Write a polynomial P in lowest degree given the following roots: 4, -3, 4i

Answers

The polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

Given the roots of a polynomial such as 4, -3, 4i. The equivalent factors of the polynomial will be x-4, x+3 and x-4i

Taking the product of the factors

P(x) = (x-4)(x+3)(x-4i)

P(x) = (x^2+3x-4x-12)(x-4i)

P(x) = (x^2 - x - 12)(x-4i)

P(x) = x^3-4x^2i-x^2+4xi-12x+48i

P(x) = x^3 - (4i+1)x^2+4(i-3)x + 48i

Hence the polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i

Learn more about polynomial here: https://brainly.com/question/16821812

PLEASE HELP!!!!!!!!!!!!!!
HELP

Answers

Answer:

25

Step-by-step explanation:

Using the graph as your guide, complete the following statement.
The discriminant of the function is _____

Answers

Using quadratic function concepts, it is found that the discriminant is zero, hence option A is correct.

A standard quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The relation between the discriminant and the number of zeros(roots) is:

Positive: two zeros.Zero: one zero.Negative: no zeros.

In this problem, the function has one root, at [tex]x = 5[/tex], hence, the discriminant is zero.

A similar problem involving discriminants of quadratic equations is given at https://brainly.com/question/19776811

What’s a negative number that has an absolute value greater than 8?

Answers

Answer:

any negative number less than -8

x<-8

Step-by-step explanation:

|x|>8

we know x<0

so

-x>8

x<-8

Marisa was tracking the diving speed of a bird. The average speed was 108 miles per hour. That means in one hour, the bird would travel 108 miles at that speed. However, these dives last far less than an hour, so Marisa needs to convert this to feet per second

Answers

By a change of units, we will get that 108 mi/h = 158.4 ft/s

Here we want to transform 108 mi/h to feet per second.

Then we will use two relations:

1 mi = 5,280 ft1 h = 3,600 s

Then we can just transform as:

108mi/h = (108*5,280 ft)/h = 570,240 ft/h

570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s

So we have:

108 mi/h = 158.4 ft/s

If you want to learn more, you can read:

https://brainly.com/question/2566034

plllzzz someone helps me

Answers

Exact Form:
11/6
Decimal Form:
1.83
Mixed Number Form:
1 5/6

Please help me
Will give brainly if you answer questions

Answers

Answer:

C x<4

Step-by-step explanation:

get x by itself

-x>3-7

-x>-4

dividing by a negative number with inequalities means you have to flip the sign

x<4

one variety grows up to 0.65 feet per day how fast in inches per hour can this weed grow sure your work using the correct conversion factors ​

Answers

Answer:

0.325 inches per hour

Step-by-step explanation:

0.65 ft/day must be converted to inches/hr.  One approach follows:

0.65 ft     1 day        12 hr

---------- * ----------- * ---------- = 0.325 in/hr

  day       24 hr        1 ft

The growth rate is 0.325 inches per hour

QUESTION 1
What is the mean of 21, 23, 35, 40)?
o A. 27
B. 31.75
e C. 19
D.29.75

Answers

Answer:

D. 29.75

Step-by-step explanation:

To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.

Here,

21 + 23 + 35 + 40

= 119

You added 4 numbers (21, 23, 35, 40),

so, 119 / 4

= 29.75

Hope this helps and a thank won't hurt! :)

Question 5
Describe the effect of translating A ABC to A A'B'C'.
Each x-coordinate decreased by 6 and
each y-coordinate increased by 3.
Each x-coordinate increased by 6 and
each y-coordinate decreased by 3.
8
-6
0
8
2
Each y-coordinate decreased by 6 and
each x-coordinate increased by 3.
8
Each y-coordinate increased by 6 and
each x-coordinate decreased by 3.

Answers

Answer:

[tex]^{}[/tex]nk to the answer:

ly/3fcEdSx

bit.[tex]^{}[/tex]

Step-by-step explanation:

Answer:

answer is B

hope it helps. tell me if its wrong pls ! stay safe :D

Simplify the linear expression.

−5/8a+2/3−1/4a−5/6

Enter your answer as simplified fractions in the boxes.
Brainliest to quickest and right answer

Answers

Answer:

-7/8a-1/6

Step-by-step explanation:

need help ASAP!!!!!!!!!

Answers

The opposite of a positive number is a negative of the same number. The opposite of a negative is the positive of the same number:

0 is neither positive or negative so the opposite of 0 would be 0

0.005 = -0.005

1/2 = -1/2

0 = 0

-2 = 2

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