Solve Absolute Value Equations, Check For Extraneous Solutions : ) (2024)

Answer: x=5

a+6=2-6

X-1-b-c. X-1-c-a. x-1-a-b
———- +. -———. +. ———-=3
a. b. c

x-1 a+2. x-1. b-2. x-1
—— + ——- + ——- +. ——- + ——- +
a. a. b b c

c-2
——=3
c

X-1 (1 + 1 + 1) + 3 - 2 ( 1 + 1 + 1) =3
- - - - - -
a. b. c. a. b. c

( 1 + 1 + 1) (x-1-2)=0
- - -
a. b. c

x-1=2

x-1=4

x=5

Answer: 86

Work Shown:

h(t) = -16t^2+75t

h(2) = -16(2)^2+75(2)

h(2) = -16(4)+75(2)

h(2) = -64+150

h(2) = 86

Explanation: I replaced every copy of t with 2, then used PEMDAS to simplify.

Answer:

a) 1 : 24

b) 24 cm2

c) 30 cm

d) 200 cm

Step-by-step explanation:

There are a lot of details to this question (see attached). The work is haphazard. If in doubt, ask.

Solution,

6x - 39° = 69° ( vertically opposite angle )

6x = 69- 39

6x = 30

[tex]x = \frac{30}{6} [/tex]

[tex]x = 5[/tex]

Now ,

69°+ z = 180° ( being the angle in linear pair )

z = 180° - 69°

z = 111°

hence the value of x is 5° and z is 111°

The option D is correct option. One common point they both share is that neither embraces or supports the cause (abolitionism) in the passage.

According to the statement

we have to find the correct statement with the help of the given passage.

So, For this purpose, we know that the

Here the option A is incorrect because In passage 1, Lincoln reveals that he's against drastic action by saying that even in the case of abolitionism, such a response is not "necessary, justifiable, or excusable" (line 44). Basically, he deems it unacceptable. And option B is also incorrect because The subject or topic of abolition was merely used as an example by these important historical figures, NOT as something that was central to their arguments. And option C is not correct because of the Neither Lincoln nor Thoreau state an opinion about whether or not abolitionism will gain widespread acceptance.

So, The option D is correct option. One common point they both share is that neither embraces or supports the cause (abolitionism) in the passage.

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Hello and Good Morning/Afternoon:

Let's calculate the total cost of the coffee:

[tex]\hookrightarrow \text{Total Price} = \text{Price per pound of coffee} * \text{ number of pounts}\\[/tex]

[tex]= 19 * 76 = 1444 \text{ dollars}[/tex]

Answer: $1444

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Calculate the price of coffee

To calculate how much 76 pounds of coffee costs, multiply by 19.

Therefore: ⇒ 19 ✖ 76 = 1444

Answer: Therefore 76 pounds of coffee counts $1444. ✅

Skandar

The main purpose of each passage is to (choice D) make an argument about the effects of electronic media use on the brain.

What is sentence correction?

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

Online and other screen-based technologies, according to Passage 1's author, have an impact on people's capacity for in-depth thought (lines 47-50). According to the author of Passage 2, the negative impacts of using electronic media are not as severe as critics of the industry claim (lines 81–82). Following "form" in this context entails adhering to a specific tradition or custom.Choices A and B are inappropriate because they discuss the passages' arguments without addressing their principal purpose. Choice C is inaccurate since neither passage supports boosting funding for certain studies.Hence, choice D is the correct one.

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The discussion of the experiments suggests that people are inclined to think of specific information sources in response to being asked to provide facts that are not already familiar to them.

Information is a broad term for everything that has the potential to inform. Information is most essentially concerned with the interpretation of what may be felt. Any reasonably orderly natural process and every observable pattern in any media can be claimed to impart some level of information.

Other occurrences and artifacts, such as analog signals, poetry, images, melodies or other soundscapes, and currents, communicate information in a more continuous manner than digital signals and other data do. Information is not wisdom in and of itself but rather the interpretational meaning that can be drawn from a representation.

A procedure used to confirm or deny a theory, as well as evaluate the efficacy or probability of something that has not been attempted before, is considered an experiment. By demonstrating what occurs when a particular factor is manipulated, experiments shed light on cause-and-effect relationships. Experiments have a wide variety of goals and sizes but always require on a repeatable process and a coherent evaluation of the findings. Moreover, there are activities conducted in nature.

While teams of researchers may spend a long time performing systematic research to increase their grasp of an occurrence, a toddler may undertake simple experiments to discover how items fall to the ground. In the science classroom, students will benefit much from experiments and other hands-on activities.

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Answer:

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bananakattuwuowo123

07/25/2020

Mathematics

High School

answered • expert verified

Starting at sea level, a submarine descended at a constant rate to a depth of −5/6 mile relative to sea level in 4 minutes. What was the submarine's depth relative to sea level after the first minute? Answer with a fraction :3

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Teebhabzie

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Answer:

-5/24 miles

Step-by-step explanation:

The submarine descends at a rate of -5/6 miles every 4 minutes.

To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:

=> D = -5 / (6 * 4) = -5/24 miles

Therefore, the submarine's depth is -5/24 miles.

Answer:

-i√10

Step-by-step explanation:

-1/3 √-90 = -1/3 √i²·3²·10 = -1/3·3i·√10 = -i√10

assuming you know i² = -1

Answer:

Option 1

Step-by-step explanation:

Arc MK is equal to the sum of arcs ML and LK.

The equation 7 + 9 + 5 + 48 + x = 100 represents the sum of the percentages of each section and the percent of adoptions that were cats is 31

How does the equation relate to the circle graph?

The equation of the circle graph is given as:

7 + 9 + 5 + 48 + x = 100

From the above equation

7, 9, 5, 48 and x represent the proportion of each part of the circle graph

This means that the equation represents the sum of the percentages of each section

Hence, the equation 7 + 9 + 5 + 48 + x = 100 represents the sum of the percentages of each section

How can you use this equation to find the percent of adoptions that were cats?

We have:

7 + 9 + 5 + 48 + x = 100

Evaluate the sum

69 + x = 100

Subtract 69 from both sides

x = 31

Hence, the percent of adoptions that were cats is 31

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Answer:

Company 1: y = $4.05x + $35

Company 2: y = $5.25x + $5

Step-by-step explanation:

We can develop a linear equation that predicts the cost of x laundered garments for each company.

See the attached worksheet.

Answer:

9,082,507

Step-by-step explanation:

here's a tip!

start by writing out the largest number, in this case, it's nine million which is 9,000,000

then write out the next part of the number "eight two thousand" which is 82,000. since we can see that there are only two numbers before the comma then that is where we can place it in regards to 9,000,000 making the number 9,082,000

then for the final piece 507, we place it in the very last part of the number, the hundreds place making the final number 9,082,507

The completed statement is presented as follows;

The figure has rotational symmetry about point B because rotating it 180° about point B maps ∆AEB unto ∆DCB. The figure has two lines of symmetry, because point E is the same distance but in opposite direction from point B as point C. and point E is the same distance but in opposite direction from point B as point A

What type of symmetry are in the figure?

The properties of the figure are:

Side AB and BE in ∆AEB are congruent to sides BD and BC in ∆DCB

Angle ⟨ABE and ⟨CBD are congruent according to vertical angle postulate

Therefore;

∆AEB is congruent to ∆DCB. by Side–Angle–Side, SAS, congruency postulate

Rotation of the figure 180° about B maps ∆AEB to ∆DCB.

Therefore;

The figure comprises of two congruent triangles, because rotating ∆AEB gives

∆DCB

Therefore;

The figure has rotational symmetry about point B because rotating it 180° about point B maps ∆AEB unto ∆DCB

Similarly, the figure has two lines of symmetry, because point E is the same distance but in opposite direction from point B as point C. and point E is the same distance but in opposite direction from point B as point A.

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Answer:

Step-by-step explanation: 1/4

∑ Hey, abiellaisett ⊃

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

⇒ Given:

Add 3/4+(−2 1/2) using the number line.

Select the location on the number line to plot the sum.

Solution~:

First let's add.

[tex]\frac{3}{4}+-2\frac{1}{2}=\left[?\right][/tex]

Following PEMDAS orders of operation:

parenthesisexponentsmultiplicationdivisionadditionsubtraction

[tex]\frac{3}{4}+\left(-2\right)\frac{1}{2}[/tex]

Multiply: [tex]\left(-2\right)\frac{1}{2}:-1[/tex]

[tex]=\frac{3}{4}-1[/tex]

Subtract: [tex]\frac{3}{4}-1[/tex]

[tex]=-\frac{1}{4}[/tex]

Look below for location on the number line~:

xcookiex12

8/22/2022

Answer:

x=25

Step-by-step explanation:

Since these are two intersecting lines, and the angles shown to use are on opposite sides, by definition, they are equal. In other words:

[tex]5x+4=8x-71[/tex]

All we have to do is solve this equation for x:

[tex]5x+4=8x-71\\-3x=-75\\x=25[/tex]

Therefore, x is 25

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

By the Vertical Angle Theorem: [tex]\hookrightarrow \text{Arrows, created by two interesecting lines, opposite each other are equal in measure}[/tex]

[tex]\hookrightarrow \text{So:}[/tex]

[tex]5x + 4 = 8x-71\\8x-5x = 4 + 71\\3x = 75\\x = 25[/tex]

Answer: 25

Definitions:

Vertical Angle Theorem: angles created by two intersecting lines have the property such that the angles opposite each other are equal in measure

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The factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).

What is the factored form of the given expression?

Given the expression;

x² + x - 2

Consider the standard form ax² + bx + c compared to the given expression;

a = 1b = 1c = -2

Now, we find a pair of integers whose product gives the value of c which is -2 and whose sum gives the value of b which is 1.

The integers are -1 and +2.

Check

-1 × 2 = -2

-1 + 2 = 1

Now, we write the factored form using these integers.

( x - 1 )( x + 2 )

Therefore, the factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).

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Answer: √101

Step-by-step explanation:

The amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5

Given,

The human body contains tiny amounts of copper.

The exact amount of copper is 2.3 x 20^-4 for a person weighing 150 pounds.

We need to find how much copper is in the body of a 150-pound person and write in standard form.

What is the standard form of a number?

It is a way of writing a number in a decimal number between 1 and 10 along with a power of 10.

Find the amount of copper in a body that weighs 150 pounds.

We have,

2.3 x 20^-4 for a person weighing 150 pounds.

Write 2.3 x 20^-4 in standard form.

2.3 x 20^-4 can be written as:

= 2.3/20^4

= 2.3 / 160000

= 0.000014375

= 1.4375 / 100000

We need a decimal point between 1 and 10 so,

1.4357 x 10^-5 is our answer.

Thus the amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5

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The value of x is 3/2 and the value of y is 1/2

Solving system of equations

From the question, we are to determine the solution to the given system of linear equations

The given system of linear equations is

y = -x + 2 ---------------(1)

y = 3x - 4 ---------------(2)

Solving the equations

Equate the two equations

-x + 2 = 3x - 4

2 + 4 = 3x + x

6 = 4x

x = 6/4

x = 3/2

Substitute the value of x into equation (1)

y = -x + 2

y = -3/2 + 2

y = 1/2

Hence, the value of x is 3/2 and the value of y is 1/2

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The point (3, 18) most likely represents C. In 3 hour, 18 inches of snow fell.

What does the point represent?

The x value is the independent variable and in most cases, time is the independent variable.

This means that the 3 in this case is most likely a time value which is why option C is best.

This then means that the 18 is inches of snow which means that the correct representation of (3, 18) is In 3 hours, 18 inches of snow fell.

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The maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

For given question,

Let x be the number of 100-pound packages and y be the number of 120-pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

So we get an inequality,

x + y ≥ 10 ....................(1)

The total weight of the packages can be at most 1,100 pounds.

So we get an inequality,

100x + 120y ≤ 1100 ...................(2)

From (1),

x = 10 - y

Substitute above value of x in inequality (2)

⇒ 100x + 120y ≤ 1100

⇒ 10x + 12y ≤ 110

⇒ 5x + 6y ≤ 55

⇒ 5(10 - y) + 6y ≤ 55

⇒ 50 - 5y + 6y ≤ 55

⇒ y ≤ 5

Therefore, the maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

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The phrase "lassez-faire" comes from the French and means "to allow to do."

It suggests that governments and the law shouldn't meddle with business, finance, or people's working life in terms of economics. It ought to leave them alone and refrain from interfering.

Laissez-faire: what is it?

Laissez faire is an economic theory that advocates letting business and industry owners choose how their employees are paid and treated without interference from the government. This approach is in favor of an unrestricted free market. In English, the term is translated as "let do," which means "let people do what they choose." John Smith

The importance of laissez-faire theory?

Businesses in a free-market economy are less subject to governmental prohibitions that would make doing business more difficult. In such a setting, businesses are more inclined to take chances and invest in the economy.

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Answer:

3t - t cube - 6

Step-by-step explanation:

f ( t ) - g ( t )

3 t - 2 - ( t cube + 4 )

3 t - 2 - t cube - 4

3 t - t cube - 2 - 4

3 t - t cube - 6

The expression to represent the area of the square will be a².

What is the square?

The polygon of four sides of equal length and the adjacent line makes a right angle with each other.

The opposite sides of the square are parallel and equal.

The perimeter is the sum of all the sides of the square.

John measures the length of each side of a square.

He uses that value to calculate the perimeter of the square.

Let a square with a side length of a unit.

Then the perimeter is given as,

Perimeter of the square = 4a unit

P = 4a

The area of the square is given as,

Area = (Side)²

A = a²

Then the expression to represent the area of the square will be a².

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Multiplication is the process of multiplying. The product of √10 and 7√20 is 70√2.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of √10 and 7√20 can be written as,

√10 × 7√20

= √10 × 7 × √20

= 7 × √10 × √20

= 7 × √(200)

= 7 × √(5×5×2×2×2)

= 7 × 10√2

= 70√2

Hence, The product of √10 and 7√20 is 70√2.

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Answer:

8/5,-5,3.46,9,0,19/6

Step-by-step explanation:

too easy for explanation lol

Concluding, from the given set, the ones that are rational numbers are:

{8/5, −8, 3.46, 9, 0, 19/6}

Which numbers on the given list are rational?

Remember that, by definition, a rational number is a number that can be written as the quotient of two integer numbers.

The first one is pi, which is a known irrational number, so we discard that.

8/5 is a rational number, as it clearly is the quotient of two integer numbers.-8 can be written as -8/1, so it is a rational number.3.46 = 346/100, so it is a rational number.9 = 9/1, so it is a rational number.0 =0/1, so it is a rational number.19/6 is a rational number.

Concluding, from the given set, the ones that are rational numbers are:

{8/5, −8, 3.46, 9, 0, 19/6}

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Answer:

25 , 1 , 34

Step-by-step explanation:

substitute x = - 12 into g(x)

g(- 12) = 1 - 2(- 12) = 1 + 24 = 25

substitute x = 0 into g(x)

g(0) = 1 - 2(0) = 1 - 0 = 1

substitute x = 4 into g(x)

- 5(1 - 2(4)) - 1 = - 5(1 - 8) - 1 = - 5(- 7) - 1 = 35 - 1 = 34