-x+6is the same as -(x-6) how do I know? Pls help

Answers

Answer 1
The x becomes negative because the negative sign at the start of the parenthesis distributes to everything inside parenthesis so x becomes -x and the double negative becomes +6 so that is why

Related Questions

A cylinder-shaped kid's pool has a diameter of 12 feet and a height of 2 feet. If each cubic footholds 7.48 gallons of water, about how many gallons of water can the kid's pool hold?

Answers

Answer:

About 1691.886 gallons.

Step-by-step explanation:

The firs step is to find the volume of the pool in cubic feet. The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], which in this case is [tex]\pi \cdot 6^2 \cdot 2\approx 226.188[/tex] cubic feet. Multiplying this by 7.48, you get a total of about 1691.886 gallons of water. Hope this helps!

Witch of the following is a rational number v1 v2 v3 v6

Answers

Answer:

v1

Step-by-step explanation:

Shay and Nadine solve this problem in two different ways.

You have $25 in your bank account. You make $7 per hour babysitting. How many hours must you babysit to have a total of $165 in your account?

Use the drop-down menus to complete the sentences below.

Answers

Answer:

20hrs

Step-by-step explanation:

165-25 = 140

140/7 = 20

= 20hrs.

This is because 20 x $7 = $140 +$25 in account = $165

Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answers

Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We have following inequality :2 x + 3 greater-than negative 9 or ,

⇒ [tex]2x+3>-9[/tex]

Let's solve this :

⇒ [tex]2x+3>-9[/tex]

⇒ [tex](2x+3)+9>-9+9[/tex]

⇒ [tex]2x+12>0[/tex]

⇒ [tex](2x+12)-12>0-12[/tex]

⇒ [tex]2x>-12[/tex]

⇒ [tex]x>-6[/tex]

So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer:

The person in the comments said...

The answer is c. When your dividing by a negative number the arrow is turned around.

Step-by-step explanation:

Hi, have a great day/night whichever one, stay safe and always be kind ^w^

p.s. i'm giving all the credit to the person in the comments

Pythagorean theorem (picture provided)

Answers

Answer:

12

Step-by-step explanation:

To solve for a side using pythag:

[tex]\sqrt{37^2-35^2}[/tex]

The answer would be 12

Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm and the length is 3.2 cm.

Answers

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

Final answer:

To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.

Explanation:

To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.

Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.

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A circle in the xy-plane has its center at (-2/3,-3/4)
and radius 5. Which of the following is an
equation of the circle?

Answers

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Step-by-step explanation:

Apply the general formula for a circle:  (x - h)^2 + (y - k)^2  = r^2, where (h, k) is the center and r is the radius.  Since the center is (-2/3, -3/4), and r = 5, we get:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Which describes a uniform probability model?
A) drawing a red or black card from a deck of cards
B) selecting a ball from 2 red balls and 3 yellow balls
C) selecting a sock from 5 black socks and 10 white socks
D) equally divided five section spinner with three colors

Answers

Answer:a

Step-by-step explanation:

Highlight the ordered pair that is a the solution. Show your work to justify your answer.

Answers

Final answer:

To determine the ordered pair that is a solution, we need an equation or a system of equations.

Explanation:

The question asks to highlight the ordered pair that is a solution. To do this, you would need an equation or a system of equations to solve. Without the equation(s), it is not possible to determine the ordered pair that is a solution. Please provide the equation(s) so we can help you further.

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Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two classes, and he took a total of 90 minutes to do them. If each algebra problem took him 2 minutes and each geometry problem took him 5 minutes, how many algebra problems did he have for homework?
2
5
12
15

Answers

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

Answer:

15 problems

Step-by-step explanation:

I kinda know the answer but want to make sure 14 points!

Answers

Answer:

Second

Step-by-step explanation:

This question is asking for the largest magnitude. The second is of so. The deeper you go the more negative the number gets as thats how far you are off sea-level.

Answer:

the second one

Explanation: If you got this you are right

Which equation can be used to find the surface area of the cylinder? ​

Answers

Answer:

the first option

Step-by-step explanation:

the formula to find the surface area of a cylinder is

2πrh+2πr²

Answer:

A=2πrh+2πr2=2·π·4·16+2·π·42≈502.65482

Step-by-step explanation:

up there

1. Find the height of a cylinder with a volume of 30 in) and a radius of 1 in.

Answers

Answer:

9.55

Step-by-step explanation:

with a radius of 1 and a volume of 30 the height should be around 9.55

The height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.

It is given that the volume of a cylinder is 30 cubic in and the radius is 1 in.

It is required to find the height of the cylinder.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder:

[tex]\rm V = \pi r^2 h[/tex]

Where r is the radius of a cylinder and h is the height of the cylinder.

Here V = 30 cubic in and r = 1 in

[tex]\rm 30 = \pi\times 1^2\times h[/tex]  or

πh = 30

h = 9.549 in

Thus, the height of the cylinder is 9.549 in with a volume of 30 cubics in and a radius of 1 in.

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The volume of the prism is 90 cubic meters. Find the value of x
.

Answers

The answer is 30 meters




The value of [tex]\( x \)[/tex] in a prism with volume [tex]\( 90 \)[/tex] cubic meters is approximately [tex]\( 2.466 \)[/tex] meters.

To find the value of [tex]\( x \)[/tex], knowing the volume [tex]\( V \)[/tex] of the prism, use the formula:

[tex]\[ V = l \times w \times h \][/tex]

Given [tex]\( V = 90 \)[/tex] cubic meters, if we assume the length [tex]\( l = 3x \)[/tex], width [tex]\( w = 2x \)[/tex], and height [tex]\( h = x \)[/tex], then:

[tex]\[ 90 = (3x) \times (2x) \times (x) \][/tex]

[tex]\[ 90 = 6x^3 \][/tex]

[tex]\[ x^3 = \frac{90}{6} \][/tex]

[tex]\[ x^3 = 15 \][/tex]

[tex]\[ x = \sqrt[3]{15} \][/tex]

[tex]\[ x \approx 2.466 \] meters.[/tex]

What is the variable equal to?
x 7 = 14

Answers

X=2 because 14 divided by 7 is 2 since 7 is equal the number 7

Answer:

Varible x equals 2

Step-by-step explanation:

7x = 14

Dividing both sides by 7, we will have

x = 14/7

x = 2

Solve each equation. Check your solution. 4x - 8= 5x

Answers

Answer:

x= -8

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

The line 3x – 2y = 12 has
A a slope of
and a y-intercept of -6
B a slope of -
and a y-intercept of 6
© a slope of 3 and a y-intercept of -2
O a slope of —3 and a y-intercept of -6

Answers

The line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.

What is the slope intercept form of a line ?

The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.

The equation of a line is given which is 3x – 2y = 12.

This can be also written as :

3x - 2y - 12 = 0

We know that general equation of a line is given by ax + b + c = 0.

So , the given equation is :

3x – 2y = 12

dividing by 12 on both sides we get "

[tex]\frac{3x}{12}[/tex] - [tex]\frac{2y}{12}[/tex] = [tex]\frac{12}{12}[/tex]

[tex]\frac{x}{4}[/tex] - [tex]\frac{y}{6}[/tex] = 1

or

[tex]\frac{x}{4}[/tex] + (- [tex]\frac{y}{6}[/tex]) = 1

This is the slope intercept form of the given equation.

So , using the slope intercept form of line ,

y = mx + c

y = [tex]\frac{3}{2}[/tex] x - 6

If we compare : we get

c = y intercept = -6

and

Slope (m) = [tex]\frac{3}{2}[/tex]

Therefore , the line with equation 3x – 2y = 12 has the value of slope (m) equal to [tex]\frac{3}{2}[/tex] and y - intercept equal to -6.

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Final answer:

The line 3x – 2y = 12 has a slope of 3/2 and a y-intercept of -6, corresponding to choice A.

Explanation:

The equation of the line is given as 3x – 2y = 12. To find the slope and the y-intercept, we should rewrite this equation in slope-intercept form, which is y = mx + b, where 'm' is the slope and 'b' is the y-intercept. To do this, solve the given equation for y:

Add 2y to both sides: 3x = 2y + 12Subtract 12 from both sides: 2y = 3x - 12Divide everything by 2: y = (3/2)x - 6

So, we have the slope (m) as 3/2 and the y-intercept (b) as -6, which corresponds to choice A.

Monica is buying a new dress for her

job interview at Amazon. The total

(without tax) is $65.49.

If she is shopping in Pearland, where

the sales tax rate is 8.25%, what will

be the AMOUNT OF SALES TAX for

her dress (remember to round to two

decimal places since it's money)?

What’s the answer

Answers

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

One week, Huey worked 7 hours less than Dewey,
and Louie worked twice as long as Huey. Together
they worked 87 hours. Find the number of hours
worked by each.

Answers

Answer:

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey =  20hours

Number of hours worked by Louie = 40 hours

Step-by-step explanation:

Let x be number of hours worked by Dewey

Number of hour worked by Huey = x - 7

Number of hours worked by Louie = 2*(x-7) = 2*x -2*7 = 2x- 14

Together they worked 87 hours

x + x-7 + 2x-14 = 87

4x - 21 = 87

4x = 87 +21

4x = 108

x = 108/4

x = 27 hours

Number of hour worked by Dewey = 27 hours

Number of hour worked by Huey = x - 7 = 27 - 7 = 20hours

Number of hours worked by Louie = 2x - 14 = 2*27 - 14 = 54 - 14 = 40 hours

work out the area of a circle with radius 6mm. give your answer in terms of pi and state its units

Answers

The area of the circle is  36π mm²

A circle can be described as a round figure whose circumference (the distance round the circle) is equidistant from the centre. An image of a circle is attached.

The area of a circle = πr²

π= pi = 22/7

r = radius = 6mm

The radius of a circle is the distance from the centre of the circle to any point on the circle's circumference.

Area of the circle = π x 6² = 36π mm²

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The area of the circle with a radius of 6mm is 36π mm².

The area (\(A\)) of a circle is given by the formula:

[tex]\[ A = \pi r^2 \][/tex]

where [tex]\(r\)[/tex] is the radius.

Given a radius of [tex]\(6 \, \text{mm}\),[/tex] substitute this value into the formula:

[tex]\[ A = \pi \times (6 \, \text{mm})^2 \][/tex]

[tex]\[ A = \pi \times 36 \, \text{mm}^2 \][/tex]

So, the area of the circle is[tex]\(36\pi \, \text{mm}^2\)[/tex] , and the units are square millimeters[tex](\(\text{mm}^2\)).[/tex]

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A florist needs to make 25 centerpieces for a large wedding reception. Each
centerpieces requires 7 roses. If the florist can only buy roses by the dozen,
what is the least number of roses that the florist must buy?
HELP ME ASAP !!!

Answers

Answer:

57

Step-by-step explanation:

when you multiply 7x25 you get 675 then divide by 12 you get 56.25 meaning you need one more so you get 57

Do 9 m 15 m and 9 m make a triangle ?

Answers

Answer:

56232.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which graph represents a function with direct variation?

(PLEASE HELP!!!)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graph of direct variation is a straight line through the origin. It may have positive, negative, or zero slope. (The slope may not be "undefined.")

The fourth graph or the last one represents a function of direct variation.

What is direct variation?

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

In other words, as x increases, y increases, which is evident in the last graph as well.

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Right Triangle Trig.

Answers

The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Step-by-step explanation:

The given is,

                Right angled triangle XVW,

                                     XW = 14[tex]\sqrt{3}[/tex]

                                   m∠V = 90°

                                  m∠W = 45°

Step:1

              Given diagram is right angle triangle,

              Trigonometric ratios for right angle is,

                                 [tex]sin[/tex] ∅ [tex]=\frac{Opp}{Hyp}[/tex]............................(1)

                                  [tex]cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex] .........................(2)

                                  [tex]tan[/tex] ∅ [tex]= \frac{Opp}{Hyp}[/tex]..........................(3)

Step:2

             For the value of VX,

                                   [tex]sin[/tex] ∅ [tex]=\frac{VX}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]sin[/tex] 45 [tex]=\frac{VX}{14\sqrt{3} }[/tex]

            Where, Sin 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }[/tex]

                                           [tex]VX = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:3

              For the value of VW,

                                   [tex]cos[/tex] ∅ [tex]=\frac{VW}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]cos[/tex] 45 [tex]=\frac{VW}{14\sqrt{3} }[/tex]

            Where, cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }[/tex]

                                           [tex]VW = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:4

             For the value m∠x = a,

                                      [tex]tan[/tex] a [tex]=\frac{VX}{VW}[/tex]

            From given,

                            VX = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

                           VW = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

           Above equation becomes,

                                     [tex]tan[/tex] a [tex]=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }[/tex]

                                      [tex]tan[/tex] a = 1

                                             a = [tex]tan^{-1}[/tex] (1)

                                             a = 45°

                                 m∠x = a = 45°

Step:5

            Check for solution,

                         m∠v  = m∠w + m∠x

                                   = 45° + 45°

                            90° =   90°

Result:

            The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

           

PLEASE HELP ASAP The set of all numbers greater than -10 and less than -3

Answers

Answer:

(-10, -3)

Step-by-step explanation:

()  excludes -10 and -3 so it only includes the numbers in between.

The set builder notation is {x: x ∈ Z⁻, -10 < x < -3} and the set is {-9, -8, -7, -6, -5, -4}

Set-builder notation The set notation consists of symbols like ': - such that', '∈ - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy.

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

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What is the solution to the system of equations shown in the graph?
A) (0, 5) C) (0, -1)
B) (-2, 1) D) (1, -2)

Answers

Answer:

B) (-2,1)

Step-by-step explanation:

The solution is where the two lines intersect, in this case at (-2,1)

Hope this helps! :)

Answer:

B) (-2, 1)

Step-by-step explanation:

2 units left from the origin

So x = -2

1 unit up

So y = 1

Which of these is NOT a Pythagorean triangle?

A) 6, 8, 10
B) 3, 4, 5
C) 33, 44, 55
D) 8, 24, 25

Answers

8, 24, 25

[tex]8^2+24^2\neq 25^2[/tex]

Answer:

D

Step-by-step explanation:

HELP !
BEST ANSWER GETS MARKED BRAINLIEST !

Answers

Answer:

I think u=11

Step-by-step explanation:

A=6a^2

726 divided by 6= 121

square root of 121=11

answer=11

A car travels for 18 minutes at an average of 72km/h.
How far will the car travel in 18 minutes?

Answers

1,296 kilometers per hour

Answer:

21.6 Kilometers

Step-by-step explanation:

We know that every hour has 60 minutes, so the car travels at [tex]\frac{72}{60}[/tex] kilometers per minute.  Multiplying this by 18 gives [tex]18*\frac{72}{60}=21.6[/tex] kilometers.

8.888194417 to one decimal place first one gets brainlist

Answers

8.9. round the first 8 after decimal to 9 because the 8 after is 5 or above.
Other Questions
An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest earned from the investment was $35,260. How much did he invest at 5% and 9%? A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentleys class and 6 slots available for Ms. Currens class. If there are 21 students in Mr. Bentleys class and 23 students in Ms. Currens class, which expression represents the number of possible groups of students that can fill the 11 available slots? Why is it important for discussion groups to create rules, identify roles, and set goals?A) to determine whether or not to prepare notesB) to allow group members to discuss any topic that they wantC) to decide which group members are the most importantD) to ensure that group members treat one another with respect An NBA fan named Mark claims that there are more fouls called on his team 1 pointany other team, but the commissioner says that the number of fouls calledagainst his team are no different than any other team. Mark finds that theaverage number of fouls in any game in the NBA is 11.5. He takes a randomsample of 34 of games involving his team and finds that there are anaverage of 12.2 fouls against his team, with a standard deviation of 1.6 fouls.What is the correct conclusion? Use a = 0.05a) The p value is 2.55 indicating insufficient evidence for his claim.b)The p-value is 0.008, indicating sufficient evidence for his claim.c)The p-value is 0.008, indicating insufficient evidence for his claim.d)The p-value is 2.55, indicating sufficient evidence for his claim. Escribe una breve biografa de scar Arias Snchez. Incluye esta informacin:Cundo fue presidente de Costa Rica?Por qu es famoso en Costa Rica?En qu ao recibi el Premio Nobel de la Paz? Por qu fue premiado?Qu hizo con el dinero que recibi del Premio Nobel?A qu se dedica la Fundacin Arias?Escribe un breve prrafo sobre Francisco Amighetti o Carmen Lyra donde incluyas:En qu medios artsticos trabaj?Identifica por lo menos una de sus obras ms famosas en cada medio. We read 21 pages of my English book yesterday. Today, we read 17 pages. What isthe total number of pages we read? What is the efficiency of a machine that produces 4500 joules of output work for every 4250 joules of input work? (remember to put it in correct units and round to the hundredths place) The solution to an inequality is represented by the number line.*number line below*How can this same solution be written using set-builder notation?{x | x > _____} Drag each title to the correct location identify each process as carbon source or carbon sink The heat of vaporization AHv, of ammonia (NH3) is 23.4 kJ/mol. Calculate the change in entropy AS when 23. g of ammonia boils at -33.5 C.Be sure your answer contains a unit symbol and the correct number of significant digits. What 3 things must occur for a reaction to successfully take place What is the relationship between natural selection and adaptations?Question 1 options:Adaptations and natural selection are separate processes and not relatedNatural selection occurs as a result of adaptations within a populationNatural selection is the process leading up to adaptations in a populationNatural selection and adaptations are actually the same thing OCUL- Explain how the acids listed below are alike and different.amino acid fatty acid folic acid calculate the number in the middle of 11 and 24 Which sentence from the article best shows why the test events are.important to the host city a cylindrical tank has a diameter of 5 feet and the distance between the circular bases is 6 feet. find the lateral area of the tank. Read the passage.Yet not everyone feels motivated to recycle and, indeed, it can sometimes seem like a complex undertaking. Yet coupled with understanding the benefits, once you know how to recycle, you'll realize it's not that hard and it soon becomes second habit. Start by making the commitment to recycling in your household and work your way right through to persuading others of its benefits too.How do you know this passage is written in second-person point of view?The narrator doesn't know everything about all the characters.There is no use of I and we.The narrator is all-knowing.The writer is speaking directly to the reader. Which expressions are equivalent to -6+4q+(-6q)?Choose all answers that apply:(Choice A)A-6(q+1)-4q(Choice B)B2(q-3)(Choice C)CNone of the aboveBrainiest for whoever answers first, if cannot do brainliest will 5 stars and heart Solve the system using substitution.y = 4x 5y = 2x + 1A.(2, 3)B.(1, 3)C.(2, 13)D.(3, 7) Read this line from the Pony Express excerpt:It, in fact, proved the feasibility of a transcontinental road and demonstrated that such a line could be built and operated continuously the year aroundBased on the context, what does the word "feasibility" mean?