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.

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Related Questions

write down three integers below 25 with the range of 10 and the mean of 13

Answers

Answer:

8, 13, 18

Step-by-step explanation:

Middle number is 13, there are only 3

Max is 10/2 more so 18

Min is 18-10

( ꈍᴗꈍ)
introduction to algebra explain

Answers

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

help..................

Answers

Answer:

Line A

Step-by-step explanation:

Fizza had 9 bags of rice.She sold 1/3 of them.Find number of bags left.

Answers

If Fizza sold 1/3 of 9 bags of rice only 6 bags would remain.

If you put 9 into three equal groups, it's three groups of three. Then you take aways one group (1/3) and you only have two groups of three (6).

Answer:

26/3

Step-by-step explanation:

first 9-1/3 then

27-1/3 =26/3

Help is appreciated ty!!

Answers

Answer:

B and C

Step-by-step explanation:

Jane found multiples of 8 instead of factors and should've gotten 1, 2, 4, and 8 as her answer.

Hope this helps :)

Answer:

B& C

Step-by-step explanation:

hope it helps

Average Speed=Distance undefined ➗ Time


A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?

Answers

Answer:

37 km/minute

Step-by-step explanation:

Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]

=> 185/5

=> 37 km/minute

Hoped this helped.

-5/3 + 2 1/3
please help me

Answers

Answer:

Well you can convert the mixed fraction into an improper one

-5/3 + 7/3

Which is really -5 + 7 and you’d get 2

so 2/3

The answer: 2/3

I hope this helped have a good rest of ur day!

(x^2+3x+1)(x^2-2x+5)

Answers

Answer:

x^4 + x^3 + 13x + 5

Step-by-step explanation:

How to get y intercept from 2 points.

Answers

Step-by-step explanation:

What I don "t" undesrtand

your problem for The

mathematics

plzz help me no link plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

100 divided by 50 is equal to 2

Zara ate 50 almonds last week

pls mark brainliest if this helped :)

what is the best way to remember the distributive property?

Answers

Answer:

Think of it as.....

a(b+c) also know as... ab+ac=______

Step-by-step explanation:

hope this helps!

your going to rock the distributive property

Answer:

Maybe to practice at least 10 problems a day, the more you have right the more you are gonna see yourself become more successful in that area.

Also watch videos, anyone that you can find I recommend.

or go to Khan Academy.

Step-by-step explanation:

I did it as well and now I pass everything that is compared to that subject.

Follow the steps to finish solving the equation -3x +18 = 7x

1. Add 3x to both sides to isolate the variable term.

2. Divide both sides by 10.

x=

Answers

It’s probs 1.8 but it could also be 1.8

Answer:

18/10

Step-by-step explanation:

got it right.

How to find the b value in slope intercept form.

Answers

It is where the line meets the y axis

The approximate areas of Georgia and South Carolina are listed below:
Georgia: 1.54\times 10^{5}1.54×10^5
square kilometers
South Carolina: 8.29\times 10^{4}8.29×10^4
square kilometers
How many times larger is Georgia than South Carolina? Write your answer in standard notation, rounding to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

please help 7th grade math

Answers

Answer: 3.9

Step-by-step explanation: calculator

1. 39 divided by 4 divided by 2.50

The ________ sum of squares measures the variability of the group means around the overall mean. Group of answer choices between within interaction total

Answers

Fourth Divided and I have a meeting with my friend 26 on Friday divided by 33 times by + 4

Answer: 95

The marked price of a bottle of shampoo at the grocery was $7. During a manufactory direct sale, a discount of 25% was given. A further 14% discount was given to those customers owning a member card. How much would a member customer need to pay for a bottle of shampoo during the sale?


Need an answer now please not a link ​

Answers

Answer:

$4.52 is what they'd need to pay.

Step-by-step explanation:

0.25 x 7 = 1.75

7 - 1.75 = 5.25

100 - 14 = 86

0.86 x 5.25

= 4.515 and round to the nearest hundredth

PLEASEEEEE HELP…
In Exploration 3.1.2 you went through a procedure that helped you see how a formula
with n compounds per year relates to the formula for compounding continuously. Select
the appropriate answers to model what you did in the exploration.
Annual growth Rate
A (t) = P(1 + r)
n compounds per year
nt
A () = (1+ a)
a =
[Select]
n
let z = -
7
A (t) = P(1 + [b])"
b = (Select)
let n = ar
Ict
C =
[Select)
A (0) P(1)
110) - P{(x - 2)
+
2

Answers

The growth amount is given by the growth rate the duration of the growth

and how the rate is applied to each period.

The correct selections are;

a = n[tex]\displaystyle b = \frac{1}{x}[/tex]c = x·r[tex]\displaystyle \lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1[/tex]

Reasons:

First part;

The given formula for the annual growth rate is; [tex]A(t) = \mathbf{P \cdot \left(1 + r)^t}[/tex]

[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{[a]} \right)^{n \cdot t}}[/tex]

Where;

P = The principal

r = The rate per period

n = The number of compounding per period

t = The number of periods

In the above formula, we have that the number of compounding per periods = n

Therefore;

a = n

Which gives the fraction of the interest applied to each period as [tex]\displaystyle \frac{r}{n}[/tex]

Which gives;

[tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]

Second part;

When [tex]x = \displaystyle \frac{n}{r}[/tex], we have; [tex]A(t) = \mathbf{P \cdot \left(1 + [b])^{n \cdot t}}[/tex]

[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{r}{n} \right)^{n \cdot t}[/tex]

Therefore;

[tex]\displaystyle b=\frac{r}{n}[/tex]

[tex]\displaystyle \frac{1}{x} = \frac{1}{\left(\frac{n}{r} \right)} =\frac{r}{n}[/tex]

Which gives;

[tex]\displaystyle b=\frac{r}{n} = \mathbf{\frac{1}{x}}[/tex]

[tex]\displaystyle \underline{ b = \frac{1}{x} }[/tex]

Third part;

Where, n = x·r, and [tex]\displaystyle A(t) = \mathbf{P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t}}[/tex]

We have;

[tex]\displaystyle x= \frac{n}{r}[/tex]

[tex]\displaystyle \frac{1}{x}=\frac{r}{n}[/tex]

[tex]\displaystyle A(t) = P \cdot \left (1 + \frac{1}{x} \right)^{[c] \cdot t} = \mathbf{P \cdot \left (1 + \frac{r}{n} \right)^{[c] \cdot t}}[/tex]

Which gives;

c = n = x·r

c = x·r

Fourth part;

If x is a really large number, we have; [tex]\displaystyle \mathbf{\left(1 + \frac{1}{x} \right)^x}[/tex]

Where x approaches ∞, we have;

[tex]\displaystyle \frac{1}{\infty}=0[/tex]

Which gives;

[tex]\displaystyle \displaystyle \left(1 + \frac{1}{x} \right)^x= \left(1 + \frac{1}{\infty} \right)^\infty = \displaystyle \left(1 + 0\right)^\infty = 1 ^\infty = 1[/tex]

[tex]\displaystyle \underline{\lim_{x \to \infty} \left(1 + \frac{1}{x} \right)^x \to 1}[/tex]

Learn more about growth rate formula here:

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£160 in the ratio 3:5 how much does Oliver get compared to sue

Answers

Answer:

8x=160x=20first num=3×20=60sec num=5×20=100

Step-by-step explanation:

(05.05)
Select the inequality that corresponds to the given graph. (5 points)

Answers

Answer:

3) 4x-2y (less than) -8

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

Quick Note:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.  

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

Option 1: 4x - 3y > -12

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement).  Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

Option 2: x + 4y > 4

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded.  Hence, Option 2 may be a valid solution.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1  ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼.  Hence, Option 2 is not a valid answer, as the graph has a positive slope.

Option 3: 4x - 2y < - 8

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8  (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]  

y < 2x + 4  ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Quadratic Transformation Worksheet Nam Write the quadratic equation,
1. y = (x - 2)2 + 0 ​

Answers

M-ental

A-buse

T-o

H-umans

Subscribe to DreamfanBG for support.

can someone please help ​

Answers

Answer:

y = - 0.6x + 109

Step-by-step explanation:

The equation in linear form is

y = mx + c ← slope- intercept form

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table

m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6

y = - 0.6x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (45, 82 ) , then

82 = - 27 + c ⇒ c = 82 + 27 = 109

y = - 0.6x + 109

What is the quotient of 36 and -3

(WILL MAKE BRAINLIEST )

Answers

Pretty sure it’s -12 but I could be reading the question wrong since it’s pretty late

Find the perimeter. Simplify the answer.

Answers

Answer:

34p - 16

Step-by-step explanation:

Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10

Perimeter = 16p + 18p + 4 - 20

Perimeter = 34p - 16

-Chetan K

we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]

ok done. Thank to me :>

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost  $35  and same-day tickets cost  $20 . For one performance, there were  65  tickets sold in all, and the total amount paid for them was  $1900 . How many tickets of each type were sold?​​

Answers

Answer:

600 Advance tickets 1,300 same-day tickets

Step-by-step explanation:

65x20=1,300

1900-1,300=600


PLEASE HELP

1/3(9×+16+2)+2x

×-3+7(×+3)-3×-12





USE TWO DIFFERENT METHODS TO EXPAND 1/4(×+2×+16-8)​

Answers

Answer:

Multiply 1/3 with the numbers in the parenthesis and evaluate

Step-by-step explanation:

Is this a function? I don’t think it is but I’m not sure.

Answers

Answer:

no

Step-by-step explanation:

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

Answers

Answer:

Omsimmmmm Nice G UwU

Sarry Sarry

Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

halfway between -20 and 10​

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]

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