Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0

Answers

Answer 1

Answer:

a) answer is "a"

b) answer is "-2b"

c) answer is "-c"

d) answer is "3c"

Step-by-step explanation:

Absolute value is positive value of something.

a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.

b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.

c<0 same as a except sign is flipped so answer is negative instead of positive.

c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.

Sorry is explanation wasn't through i'm only in middle school

Answer 2

a. | a | > 0, a is greater than and less than zero.

b. | 2b | if b < 0, b is not less than zero not greater than zero.

c. | c | if c < 0, c is not less than zero not greater than zero.

d.  | 3c | if c ≥ 0, c is greater than zero and less than zero.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given,

| a | > 0

∴ a is greater than and less than zero.

| 2b | if b < 0

b is not less than zero not greater than zero.

| c | if c < 0

c is not less than zero not greater than zero.

| 3c | if c ≥ 0.

c is greater than zero and less than zero.

learn more about modulus functions here :

https://brainly.com/question/13103168

#SPJ2


Related Questions

What is the missing constant term in the perfect square that starts with x2 + 18x

Answers

Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

Solve for value of y

Answers

(9y - 6) + 51 = 90 (right angle)

9y - 6 + 51 = 90

9y - 6 = 90 - 51

9y - 6 = 39

9y = 39 + 6

9y = 45

y = 45/9

y = 5

_______

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Help please please help me

Answers

Answer:

Hi! I hope this answer helps you.

In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

any vertical line in the plane can intersect the graph of a function at most once.

HOW TO DO THIS

take your pencil and place it on your paper vertically (up and down direction)

move the pencil across the paper to the right

if the pencil crosses more than two points on the line it is not a function

the first problem would be a function

the second problem would be a function

the third problem would not be a function

hope this helps !!!!

You can buy a seat cushion at the College Softball World Series for $4. They
paid $2.50 to have them made, and they make a profit of $300 when sold out.
How many seat cushions did they have made?

Answers

Answer:

$118.40

2.50x Plus 4 Equal 300

2.50x Equal 296

2.50x/2.50 Equal $118.40

PLEASE TELL ME IF I AM WRONG!

6-3b-6= -15
i need help asappl

Answers

Hello there!

6-3b-6=-15

-3b=15+6-6

-3b=15

b=-3

Hope it helps you!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

b=5

Step-by-step explanation:

6-3b-6=-15

     -3b=-15

      3b=15

        b=15÷3

          =5

The slope is -10 and it passes through (2,5)

Answers

Answer:

y=-10x+25

Step-by-step explanation:

what would be 8/1 x 1/2

Answers

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

[tex]8\times \dfrac 12 = 4[/tex]

one half of the sum of number and 10

Answers

Sum of x and 10 is (x+10)

Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]

on a map, 1 inch equals 25 miles. If two cites are 4 inches apart on the map, how far are they actually apart?

Answers

Answer: They are 100 miles apart

Step-by-step explanation:

1 inch = 25 miles

4x25=100

Answer: 100 miles

Step-by-step explanation:

Since we have 25 miles per inch. and there are 4 inches, you would multiply 25 by 4 to get to your answer of 100 miles.

25x4=100

What is 45% written as a fraction in lowest terms?
Enter your answer by filling in the boxes.

Answers

Answer:

✓ 45% = 9/20

Step-by-step explanation:

What box?

Answer:

9/20.

Step-by-step explanation:

45/100

= 45/5 /  100/5

= 9/20.

titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year

Answers

Step-by-step explanation:

x = how many games won last year

x - 1 = how many games won each year

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

3) Find the values of a,b ,c and for y=x^2-9x+18.

Answers

Answer:

a = 1

b = -9

c = 18

01:36:08
Which two events are independent?
A
B
С
Total
X
15
5
30
50
Y
5
8
15
28
Z
10
7
5
22
Total
30
20
50
100
A and X
A and Y
Band X
B and y
Sede
Save and Exit
y.com/contentViewers AssessmentViewer Activit

Answers

Answer:

check online for more information

A student earned $175 last week. She worked 35 hours. How much did she earn per hour?

Answers

Answer:

5$

Step-by-step explanation:

5 divided by 175 is 35

5x35 is 175

What are the sums for both of those?

Answers

I don’t think I can help you with this but good luck! And I hope you have an amazing day! :)

I’m not good at stuff like this but I would give my life if someone can help me please

Answers

Answer:

I want so much to help u, but I can't right now. I will come back tomorrow and answer it.

What are the solutions of y=x^2+5x-7

Answers

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].

A path is made of red tiles and blue tiles.
1/5of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.

There is a total of 85 tiles.
b) Work out the number of blue tiles.
(2)
Total marks: 3

Answers

Answer: 17 red , 68 blue

Step-by-step explanation:

85 divided by 5=17

1/5 of 85=17

17x4=68

4/5 of 85=68

(1). The ratio of red tiles to blue tiles is [tex]\frac{1}{4}[/tex]

(2). The number of blue tiles are 68.

Fraction:

It is given that,

A path is made by red and blue tiles and [tex]\frac{1}{5}[/tex] part of tiles are red.

So that,

 Blue tiles[tex]=1-\frac{1}{5} =\frac{4}{5}[/tex] parts.

The ratio of red tiles to blue tiles in its simplest form,

                [tex]\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}[/tex]

Since, total number of tiles are 85.

 Number of blue tiles[tex]=\frac{4}{5} *85=68[/tex]

Learn more about the fraction here:

https://brainly.com/question/78672

the graph of equation y-1=-2(x-2) contains which sets of ordered pairs

Answers

Answer:

(2, 1)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 1 = - 2(x - 2) ← is in point- slope form

with (a, b ) = (2, 1 )

100 POINTS IF U GET THIS RIGHT!

Answers

Answer:

The y-intercept is 4.

Step-by-step explanation:

Our equation: y = mx + b

m = slope

b = y-intercept

=> Now, let's compare:

=> y = mx + b = y = -7x + 4

We can tell that b = 4

Hoped this helped.

[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]

Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?​

Answers

Answer:

90$

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

$15 + $39 + $18 + $27 = $99

$189 - $99 = $90

Hope this helps <3

Express each ratio as a fraction in the simplest form:

8dm to 3.2 m and 0.3k to 500 m

Answers

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

IDENTIFY TWO SEGMENTS THAT ARE MARKED PARALLEL TO EACH OTHER.

PLEASE HELP, WILL GIVE BRAINLIEST.

Answers

Hey there!

I believe segment ED and AB are parrarel to each other.

Hope this helps! :)

Have a great day!

two rays that have a common endpoint and form a line

Answers

Answer:      Overview. An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.

Step-by-step explanation:    just have done with before! i am really good at it

Answer Quick! No links, please.

Answers

slope is y=1 and y-intercept is -3

Answer:

#1

Slope: 1/2

Y Intercept: -3

#2

Slope: -3

Y Intercept: 2

What is a logarithm.

Answers

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

What is the location of F on the decimal number line below?
Write your answer as a decimal.
6.7
6.8
6.9
II
Х
?

Answers

6.7 since it's closer

i’ll give you brainliest, thank you sm

Answers

Answer:

C. (2,7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)

Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation

For instance, for A (-1, 5) we would plug in 5 for x and -1 for y

Now we have -1 = 3(5) + 1

Multiply 3 and 5

-1 = 15 +1

Add

-1 = 16

The numbers on each side are not equal so this is not the answer

Now for B (10,3)

We do the same thing, plug in the numbers

3 = 3(10) + 1

Multiply

3 = 30+1

3 = 31

This choice is false as well

Option C (2, 7)

Plug in the numbers

7 = 3(2) + 1

Multiply

7 = 6+1

Add

7 =  7

Thus C is the answer as it is the same number on both sides~!

Hope this helpsss! :D

Help 10 pts available !!!!!

Answers

Answer:

increasing

add

21

those are the answers for the blanks going down

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