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

8
Which does NOT describe the quadrilateral below?
O A. trapezoid
B. square
C. parallelogram
О
D. rectangle

Answers

A: trapezoid. while trapezoids can have two right angles they are classified as having only one pair of parallel sides while the shape has two pairs

Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.

Answers

Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x     y

−7    0

0    −4

Step-by-step explanation:

Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?

a)Deductive Reasoning
b)Inductive Reasoning

Answers

Answer:

a)Deductive

Step-by-step explanation:

When you apply rules (in this case theorems) it is a deductive reasoning

Find the greatest common factor of 27 and 46​

Answers

The greatest common factor of 27 and 46 is 1

answer it pls
pls
pls

Answers

Answer:

The probability that a letter at random is from V is 5/26 or 19.23%

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

find the length of segment AB

Answers

11x-9=6x+11
11x= 6x+20
5x=20
x=4
So plug in 4 to AB 11(4)-9

PLEASE HELP, DUE TOMORROW

Answers

so hope it goes well but the answer is 11

The six seventh grade classes held a fundraiser where they sold candy bars. The school's principal award a $1000 prize to be divided between the six classes. If each class sold a different quantity, what would be the most equitable way to divide the money based on their sales ? If 8, 200 candy bars were sold, simulate how you divide the money between the six classes .

Answers

Answer:

8200/1000 = 8.2 so each time a class selss 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

f (x)=x^2 what is g (x)

Answers

Answer:

Answer is X =0

Step-by-step explanation:

I Found This on a app

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?

Answers

Answer:

2333

Step-by-step explanation:

Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?

A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5

Answers

Answer:

B : y = 0.1x + 5

Step-by-step explanation:

using the y = mx + b equation

b is the intercept on the y axis ( x = 0)

m is the slope of the line.

From the graph we can see that the intercept is (0,5), therefore b = 5;

To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)

m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1

m = 0.1

therefore in y = mx + b

y = 0.1x + 5

Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.


A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P

Answers

D. 10A(54)+10P

Is the correct answer

Answer:

A. 10A+10P+54

Step-by-step explanation:

Find the perimeter. Simplify the answer

Answers

Answer:

Perimeter = 16c + 24

Step-by-step explanation:

Perimeter = 4c + 7 + 4c + 7 + 8c + 10

Perimeter = 16c + 14 + 10

Perimeter = 16c + 24

-Chetan K

16c + 24

Step-by-step explanation:

To Find the perimeter we add

all the sides,

= > 4c + 7 + 4c + 7 + 8c + 10

= > 16c + 24...ans

Hope it Helps you!!

Find the x-intercept of y=1/2x-4

Answers

the x intercept is 8

Answer:

X=1/2

Step-by-step explanation:

Y=mx+b

Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?

Answers

Answer:

1575

Step-by-step explanation:

The dimensions of a carriage are:
height = x + 3 feet, length = 10x + 5 feet, and width= 2x-1 feet. If the volume of the carriage is 1050 cubic feet, what is the value of x?​

Answers

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

                       = 10x*2x - 10x*1 + 5*2x  - 1*5

                       = 20x² - 10x + 10x - 5 = 20x²  - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

                               =20x²*(x +3) - 5*(x +3)

                               = 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x  -3 ) is a factor

Synthetic method:

3     ( 20    60       -5           -1065

      (          60        360        1065

         20   120        355           0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft

helpppppppppppppppppppppppppppp

Answers

What do you need help with? Are you in danger?

identify the constant term in this expression 28m + 4n - 12m +3 =

Answers

Step-by-step explanation:

28m+4n-12m+3

28m-12m+4n+3

16m+4n+3

what is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Answers

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.

Answers

Answer:

Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Step-by-step explanation:

The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Angle B is the linear pairs with 60°,

so the size is 180-60=120°

Angle ABC is the linear pair with 120°,

so the size is 180-120 =60°

Angle A corresponds to angle 60°,

so they are equal

Angle BAC is the linear pair with angle A and angle 70°,

so 180-(60+70) =50°

and, we have,

Angle ACB is 180-(50+60) = 70°

Hence, The solution is:

The measure of angle ABC is 60°.

The measure of angle BAC is 50°.

The measure of angle ACB is 70°.

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Evaluate each expression when n = 4 and b = 7
1. 2n – 3

2. 4b + 3

3. 3n + 8b – 13

Answers

Answer:

1. 5  2. 31  3. 55

Step-by-step explanation:

1. 2(4)-3=8-3=5

2. 4(7)+3=28+3=31

3. 3(4)+8(7)-13=12+56-13=56-1=55

Answer:

1 is 5, 2 is 31, and 3 is 55

Step-by-step explanation:

you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.

(REPOST) STATION 3 ! 40 POINTS

Answers

Finding out how fast they are going:

Liberty Express: 128.3…mph
Mercury: 130mph
International: 123mph
Delta Eagle: 125mph
Great Valley: 130.5mph

Order:

International
Delta Eagle
Liberty Express
Mercury
Great Valley

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International

simplify the expression: -4x + 8 + 7x - 10
Help PLSSS.

Answers

3x-2 because u combined like terms (7x and -4x) then (-10 and 8) to get 3x-2

someone pls help it’s due today :(

Answers

180 - 28 - 14 = 138

so 12x - 18 = 138

x = 13

what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

(with solution)

PA HELP PO THANKYOUU~

Answers

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

12×6×2+10×6×2+12×10×2​

Answers

Answer:

504

Step-by-step explanation:

The answer is 504.

Thank me later

The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1

Answers

Answer:

C) Reject null, because 15 is not in the interval.

Step-by-step explanation:

The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?

Answers

Answer:

1489

Step-by-step explanation:

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