HELP PLSSS I NEED THIS QUICK!!!!!

HELP PLSSS I NEED THIS QUICK!!!!!

Answers

Answer 1

Answer: Its B

Step-by-step explanation:


Related Questions

The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling In the boxes.
y= __/__ x

Answers

The corresponding equation of the proportional relationship will be;

⇒ y = - 1/4x

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The graph of a proportional relationship contains the point (-12, 3).

Now,

Let the equation of the proportion is,

⇒ y = kx

Where, 'k' is constant of proportion.

Since, The graph of a proportional relationship contains the point (-12, 3).

Hence, Substitute x = 0 12 and y = 3 in above equation we get;

⇒ 3 = k × - 12

⇒ 3 / (-12) = k

⇒ k = - 1/4

Thus, The equation of the proportion is,

⇒ y = - 1/4x

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what's 1/2r+3<6 two step inequalities

Answers

Answer:

r < 6

Step-by-step explanation:

[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]

[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]

[tex] \implies \dfrac{r}{2} < 3[/tex]

[tex] \implies r < 3 \: \cdot \: 2[/tex]

[tex] \implies \underline{ r < 6}[/tex]

The Key Club has a goal to raise $1,700, which they need for new equipment, by conducting various fundraisers. First, they did a baked of their goal 2/5amount. Next, they did a goods sale and earned 3/8 BINGO night and earned of their goal amount. How much more money does the Key Club still need to earn in order to reach their goal?​

Answers

The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

How to find the money needed ?

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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What is: 1 2/3 + 1 7/6 =

Answers

Answer:

Step-by-step explanation:

12/3=24/6

then, 24/6+17/6=41/6

The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?

Answers

The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.

The formula for calculating percentages?

To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.

Since when do we utilize percentages?

Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.

According to the given information:

We are aware that m = CV, where

V = volume and c = concentration

Let

M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.

It is known that m + m' = M.

where cv + c'v' = CV

Since cv + c'v' = CV, the formula is:

c = 3.7% concentration = 0.037;

v = volume of 3.7% = 1 ounce;

c = 7.9% concentration = 0.079;

v' = volume of 7.9%;

C = 6.5% concentration = 0.065;

and V = volume of 6.5% = v + v'

We obtain by altering the values of the variables in the equation

3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')

3.7% + 7.9 %v' = 6.5%(1 + v')

3.7% + 7.9 %v' = 6.5% + 6.5%v'

7.9%v' - 6.5%v' = 6.5% - 3.7%

1.4%v' = 2.8%

v' = 2.8%/1.4%

2 ounces are v'.

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Yesterday the temperature at noon was 11.4 f . By midnight the temperature had decreased by 15.7 degrees. What was the temperature at midnight ?

Answers

Answer:

-4.3

Step-by-step explanation:

It is asking for the temperature at midnight so to find out what it is. We simply subtract the starting temperature of 11.4f from 15.7 degrees

( 11.4 - 15.7 ). That would leave us with -4.3f at night.

Coach Brown buys packs of Gummi Bears at $0. 60 and resales them at $1. 0. At what percent did he mark the candy up?

A. 10. 47

B. 3. 59

C. 9

D. 67

E. 69

F. 10. 25

Answers

If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .

The price for which the Coach buys Gummi Bears is = $0.60 ;

the price at which the Coach resales them is = $1 ;

So , the Markup is the difference in the price of purchase and price of resale of the candy ,

that means ; the [tex]Markup = \$1 - \$0.60[/tex] ;

= $0.4

So , the Percent Markup is = [tex]\frac{0.4}{0.6} \times 100[/tex]

= 66.66666...

≈ 67% .

Therefore , the percent Markup for the Candy is 67% .

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what are the integers from -2 to 3 in ascending order?​

Answers

Answer:

-2, -1, 0, 1, 2, 3

Step-by-step explanation:

Integers are whole numbers that can be either positive or negative. Integers cannot be decimals or fractions.

Ascending order is from least to great so we would start with the smaller number and end with the larger number. So there are 6 integers between -2 and 3.

write an equation that represents the relationship between x and y shown in the table

Answers

An equation that represents the relationship between x and y shown in the table is y = 1.5x.

How to write an equation?

In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.

Mathematically, the point-slope form of a line is given by this mathematical equation:

y - y₁ = m(x - x₁)

Where:

m represents the slope.x and y are the points.

By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;

y - y₁ = m(x - x₁)

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 21 = (96 - 21)/(64 - 14)(x - 14)

y - 21 = 75/50(x - 14)

y - 21 = 1.5(x - 14)

y = 1.5x - 21 + 21

y = 1.5x

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Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6

Answers

y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.

so the given equation are also in the form of slope intercept form

y < 4/5x - 1/5

y > -4/5x + 1/5

y < 2x + 6

y > 2x + 6

are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

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Solved previously.How many three-digit positive integers $x$ satisfy $3874x 481\equiv 1205 \pmod{23}$

Answers

The solution indicates 40 positive three-digit integers of this kind are available.

What are Positive integers?

The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.

Which of these integers are negative?

Left of zero on the number line, a negative number is an integer. It is not zero, though.

According to the given information:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n.

Since;

900/23 = 39 3/23,

we know:

There are 39 or 40 three-digit integers of this form.

As it happens,

100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,

hence 40 solutions to the equation.

The equation reduces, mod 23, to

10x = 11

Its solutions are x = 23n +8.

This shows There are 40 three-digit positive integers of this form.

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The medical treatment cost $3000, and the insurance pays 90% less deductible of $300. Write how much money the patient pays and how much the insurance company pays. Describe the mathematics involved.

Answers

Based on the question above, the patient pays $600 and the insurance company pays $2400.

What is the arithmetic operations about?

To calculate how much the patient pays, we first need to calculate how much the insurance pays. We can do this by taking the total cost of the treatment ($3000) and multiplying it by the percentage that the insurance pays:

(90% = 0.9).

$3000 x 0.9 = $2700

This means that the insurance pays $2700 of the cost of the treatment. But we also need to subtract the $300 deductible from this amount.

$2700 - $300

= $2400

So the insurance pays $2400 for the medical treatment.

To find out how much the patient pays, we can subtract the amount paid by the insurance from the total cost of the treatment:

$3000 - $2400

= $600

Therefore, the  mathematics involved in solving this problem is very straightforward. We used basic arithmetic operations such as multiplication and subtraction to find the amounts paid by the insurance company and the patient.

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a club treasurer is solving a problem using the expression shown. -23.50 + 5 which problem is the treasurer MOST LIKELY solving? A. There is a club member who pays 23.50$ in dues each month for 5 months. What is the total amount, in dollars, that the member pays in dues? B. There are 5 club memebers who each owe the club 23.50$ in dues. What is the total balance, in dollars, of the members accounts? C. a total of 23.50$ in dues is owed to the club. There are 5 club memebrs who each owe the same account in dues. What is the amount, in dollars, that each member owes in dues? D. A total of 23.50$ in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?

Answers

When the treasurer is solving a problem using the expression shown. -23.50 ÷ 5, the problem that the treasurer is lost likely solving is D. A total of -$23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?

How to illustrate the expression?

From the information, the club treasurer is solving a problem using the expression shown. -23.50 ÷ 5. An expression show the relationship between the variables.

In this case, a total of $23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues.

The correct option is D.

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What is a perfect 1st interval?

Answers

A perfect interval which  identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the  octave. Those given  intervals can be given in the extra theoretical  name as “perfect”.

Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as  perfect intervals. These intervals are known as  "perfect" since  these types of intervals sound and they provide the certain frequency ratios which  are simple  as whole numbers. Perfect intervals sound "perfectly consonant" . that means  which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and  feels tense and in need of  their resolution.

Interval qualities are classified  as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a  diminished and when it is raised it to  a half step it becomes augmented of an interval .

When it is in lower and provides  a major non-perfect interval a half step and it becomes a minor interval then if we raise it  to a half step it becomes augmented level then if we raise to  lower a minor interval by a half step it becomes diminished  level , then if we raise a minor level interval a half step it becomes a major level interval.

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Jay wants to go paddleboarding at least 8 hours each week. If he averages 2 hours per day, write and solve an inequality to find how many days he will have to go kayaking.​

Answers

An inequality to find how many days he will have to go kayaking. is; d ≥ 4

How to solve Inequality word problems?

We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.

Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;

2d ≥ 8

Divide both sides by 2 to get;

d ≥ 4

That is the domain of the number of days required to go kayaking

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What do () mean in math?

Answers

Parentheses are employed to indicate changes to the usual order of operations.

Define round brackets.

The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.

Mention other brackets as well.

{}, [] are other type of brackets.

In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.

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Is a polynomial yes or no?

Answers

we can find out the polynomial by the degree of the Polynomial.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

Degree of polynomial

The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.

Types of polynomial

Depending upon the number of terms, polynomials are divided into the following categories:

1-Monomial

2-Binomial

3-Trinomial

4-Polynomial containing 4 terms (Quadronomial)

5-Polynomial containing 5 terms (pentanomial ) and so on.

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PLEASE HELPP!!! picture attached

Which diagram shows an obtuse scalene triangle?

Answers

Option D. is an obtuse scalene triangle in the given lists of diagrams.

What is obtuse scalene triangle?

In terms of geometry, an obtuse scalene triangle is one in which one of the angles is less than 90 degrees and the other two are less than 180 degrees, with the one angle measuring greater than 90 degrees but less than 180 degrees. Measurement differences exist for each of the three sides and angles.

Both the obtuse triangle and the scalene triangle's characteristics are present in an obtuse scalene triangle. A scalene triangle has all three sides and angles that are of a different size, whereas an obtuse triangle only has one obtuse angle. The following are the characteristics of an obtuse scalene triangle:

Two of its angles are acute, while the other is obtuse.Measurement varies across all sides and angles.Three interior angles added together result in a 180° angle.

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Let's say you accepted a part-time job working in a bakery. The baker sells a bag of rolls containing 13 rolls (or a
baker's dozen). The baker made 158 rolls before leaving for the evening. He asks you to make sure each roll is
packaged before going home. What is the greatest number of bags you will need, and should you try to sell any
extra rolls so as not to have leftovers?

Answers

Answer:

52 bags and 2 extra

Step-by-step explanation:

Simply divide the no. of rolls by no. of rolls per bag

Answer:

12 bags

Step-by-step explanation:

158 rolls ÷ 13 rolls/bag = 12.15 bags

You will have 12 full bags plus about 2 extra rolls left over, which you can try to sell separately or as a "pack" of 2.  Or, you can sell one overstuffed bag with 2 extra rolls in it (for a total of 15 rolls) for a little extra on the price.

A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages

Answers

The proportion and percentage is as follows;

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

What is the difference between proportions and percentages?

A percentage represents a ratio or fraction with a denominator that is always 100 as opposed to a proportion, which asserts the equivalent of two ratios or fractions.

Given

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & & \\ 5-6 & 50 & & \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

To estimate the total frequency:

Total = sum f

Total = 29 + 53 + 50 + 22 + 1

Total = 155

The proportion (p) exists calculated by:

[tex]$p = \frac{f}{\text { Total }}[/tex]

The percentage (P) exists calculated by:

P = p × 100 %

For interval 7 - 8, we have:

p = 53 / 155 = 0.34

P = 0.34 × 100 % = 34 %

For interval 5 - 6, we have:

p = 50 / 155 = 0.32

P = 0.32 × 100 % = 32 %

So, the complete table is:

[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]

The complete question is:

A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.

Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.

Score Interval f Proportion Percentage

9â10 29 0.19 19%

7â8 53

5â6 50

3â4 22 0.14 14%

1â2 1 0.01 1%

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Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?

Answers

well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]

Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.

Answers

Answer:

x + 18

Step-by-step explanation:

The variable is going to be the amount of money Jason has before his grandmother gives him money.

That variable is x.

Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.

The expressions would be x + 18.

How do you solve this? 11t-t^2=30

Answers

Answer:

t = 5, 6

Step-by-step explanation:

Given the equation:

[tex]\displaystyle{11t-t^2=30}[/tex]

First, arrange the expression in the standard quadratic form ax² + bx + c = 0

[tex]\displaystyle{t^2-11t+30=0}[/tex]

Then factor the expression, find two numbers that add up which result in -11  and multiply which result in 30 - that two numbers are -6 and -5

[tex]\displaystyle{(t-6)(t-5)=0}[/tex]

Solve like a linear equation

[tex]\displaystyle{t=5,6}[/tex]

Therefore, the solutions to the equation are t = 5, 6

Answer:

The solution set is {5, 6}.

Step-by-step explanation:

11t-t^2=30

t^2 - 11t + 30 = 0

(t - 5)(t - 6) = 0

t = 5, 6.

1) You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
I need the answers ASAP!​

Answers

You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?

You do 10 x 50 = 500                     /                      Your bananas weigh 500g

$6.50 halved is $3.25                     /                       So $3.25 for 500g

So your answer is $3.25

Hope this helps! :)

What is the answer of 2x^2 4x 6 0?

Answers

The answer of the equation "2x^2 -  4x - 6 =  0" is -1 and 3.

The equation is solved using factorization:

2x^2 -  4x - 6 =  0        , given equation

2x^2 -  6x + 2x - 6 =  0     , factorizing

2x(x - 3) + 2 ( x - 3 ) = 0    , taking 2x common from the first two terms and 2 common from the last two terms

(2x + 2) (x - 3) = 0

now solving further

( 2x + 2 ) = 0   &   ( x - 3 ) =0

2x = (0 - 2)    ,          x  = (0 +  3)

2x = (-2)        ,         x = 3

x = (-2/2)

x = -1

Thus, the equation gives the solution as x = -1 and x = 3.

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The function m(L)=0. 00001L3 gives the mass m in kilograms of a red snapper of length L centimeters. Determine the function that gives the length L in centimeters of a red snapper as a function of its mass m in kilograms. Then find the length of a four-year-old snapper that weights about 1. 5 kilograms

Answers

Therefore , the solution of the given problem of area comes out to be AB/DC =5 Imagine that your square is made out of more compact unit squares.

What is area?

Area is the quantity that describes how much space .A surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.

Since the heights of both trapezoids are equal, and the area of ABEF is twice the area of FECD, AB+ EF/2 = 2(DC+EF /2) AB + EF / 2= DC + EF,

AB + EF = 2DC + 2EF. EF is exactly halfway between AB and DC, so EF = AB + (AB+ DC)/2 = 2DC+ AB + DC, so 3/2 AB +  1/2DC = 3DC+AB, 1/2AB =5/2DC => AB/DC =5 Therefore , the solution of the given problem of area comes out to be AB/DC =5.

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Find the sum of the arithmetic series 22,33,44,55,…,605

Answers

Answer:

66

Step-by-step explanation:

a^5

Answer:

16 929

Step-by-step explanation:

a1 = 22      d = 11     a 54  = 605

Sum = 54 ( 22 + 605) /2 = 16 929  

Will give you brainlist
What are the two equations to set up to solve the equation?

|3x-2|=19

3x-2=


~QUESTION 2~

3|x+2|-7=14

x=_______

_____


~QUESTION 3~

-2|2x+3|+14(greater than and equal to symbol) -16

= < with line * < with line

Answers

The two equation to set up to solve the equation |3x - 2| = 19 are

3x - 2 = 193x - 2 = -19

Question 2

x = 5 OR -9

Question 3

x ≥ 6 OR x ≥ -9

What is absolute value?

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.

A number can never have a negative absolute value.

How to write the absolute value equation

The equation is written in the form below

|3x - 2| = 19

removing the absolute value sign

3x - 2 = ± 19

the two equations are

3x - 2 = 19

3x - 2 = -19

Question 2

solving for x

3|x + 2| - 7 = 14

3|x + 2| = 14 + 7

3|x + 2| =  21

divide through by 3

|x + 2| =  7

removing the absolute value sign

x + 2 =  ±7

solving for x for positive value

x + 2 = 7

x = 5

solving for the negative sign

x + 2 = -7

x = -9

Question 3

-2|2x+3| + 14 ≥ -16

-2|2x+3| ≥ -30

dividing through by -2

|2x+3| ≥ 15

2x+3 ≥ ±15

solving for the positive sign

2x+3 ≥ 15

x ≥ 6

solving for the negative sign

2x+3 ≤ -15

x ≥ -9

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Select all of the equations below in which a is directly proportional to b.
a=b²
b
= 1/1/20
a=
2
a= ²
b
a=2b
a=b+2

Answers

The equations which show direct proportion between a and b are:

a=2b and a=b/2.

What is direct proportion?

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.

Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.

Given, two variables a and b

If two variables a and b are in direct proportion

then,

a/b = constant.

1. a = b²

a/b = b

which is not constant

⇒ a is not in direct proportion with b.

2. a = 2b

a/b = 2

which is constant

⇒a is in direct proportion with b.

3. a = b/2

a/b = 1/2

which is constant

⇒ a is in direct proportion with b.

4. a=b+2

a/b = 1+2/b

which is not constant

⇒ a is not in direct proportion with b.

5. a = 2/b

ab = 2

⇒a is inversely proportional to b.

Hence, In equation a=2b and a=b/2, a is directly proportional to b.

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Select all of the expressions that are equivalent to 109+ 29m − 49n.
2(5 + m − 2n)
9(10 + 2m + 4n)
29(5 + m − 2n)
2(−2n + m + 5)
9(−4n + 2m + 10)
−29(2n − m − 5)

Answers

The equivalent expressions of 10/9 + 2/9m − 4/9n are 2/9(5 + m - 2n) and -2/9(2n − m − 5)

How to determine the equivalent expressions

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

109+ 29m − 49n

Express the expression properly

So, we have the following representation

10/9 + 2/9m − 4/9n

Factor out 2/9

So, we have

2/9(5 + m - 2n)

Factor out -1 from the expression

So, we have the following representation

-2/9(2n − m − 5)

Hence, the equivalent expression is -2/9(2n − m − 5)

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