2 (x + 4) = 2 (-8 - x) - 2x

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

Simplifying

2[x + 4] = 2[-8 + -1x] + -2x

Reorder the terms:

2[4 + x] = 2[-8 + -1x] + -2x

[4 * 2 + x * 2] = 2[-8 + -1x] + -2x

[8 + 2x] = 2[-8 + -1x] + -2x

8 + 2x = [-8 * 2 + -1x * 2] + -2x

8 + 2x = [-16 + -2x] + -2x

Combine like terms: -2x + -2x = -4x

8 + 2x = -16 + -4x

Solving

8 + 2x = -16 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

8 + 2x + 4x = -16 + -4x + 4x

Combine like terms: 2x + 4x = 6x

8 + 6x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0

8 + 6x = -16 + 0

8 + 6x = -16

Add '-8' to each side of the equation.

8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = -16 + -8

6x = -16 + -8

Combine like terms: -16 + -8 = -24

6x = -24

Divide each side by '6'.

x = -4

Simplifying

x = -4

Answer 2

2( x + 4) = 2 (-8 -x) -2x

Use the distributive property to multiply 2 by x + 4.

2x + 8 = 2 (-8 -x) - 2x

Use the distributive property to multiply 2 by -8 -x.

2x + 8 = -16 -2x - 2x

Combine -2x and 2x to get -4x.

2x + 8 = -16 - 4x

Add 4x to both sides.

2x + 8 + 4x = -16

Combine 2x and 4x to get 6x.

6x + 8 = -16

Subtract 8 from both sides.

6x = -16 - 8

Subtract 8 from -16 to get -24.

6x = -24

Divide both sides from 6.

x = [tex]\frac{-24}{6}[/tex]

Divide by -24 by 6 to get -4.

x = -4.


Related Questions

27/70 in simplest form

Answers

it can be written as 0.385714 in decimal form and 27/70 is simplest form also

Answer:

27/70

Step-by-step explanation:

27/70 is the simplest form anyway

but it's 0.385 if we calculate

How can you identify a linear function?

Answers

Answer:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Step-by-step explanation:

You are trying to show that two triangles are similar. Which of the following statements can help you establish similarity?
A) The sum of the side lengths of every triangle is always the same.
B) Dilating a triangle does not change the measurements of the triangle's angles.
C) Applying a rigid transformation to a triangle changes the triangle's angle measures.
D) Triangles with at least one set of congruent angles must be similar.

Answers

The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.

make x the subject of the following formula:
ax - ay = cx + by

please help​

Answers

x = by + ay / a - c

Step-by-step explanation:

Given that

ax - ay = cx + by

Collect like terms

ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

x = by + ay / a - c

Making x the subject of the formula would be

x = by + ay / a - c

Learn more about subject of formula here : https://brainly.com/question/859711

What is 3 divided by 7 pretty confused since I was on break for a long time

Answers

Answer:

3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)

Answer:

It’s a decimal, (0.42857142857)

Step-by-step explanation:

Help? If im given the option ill give you brainliest!

Answers

Answer:

Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.

Step-by-step explanation:

PLEASE HELP ME 100 POINTS (make full screen)

Answers

Answer:

See below

Step-by-step explanation:

Part 1

Corresponding angles and sides of ΔMNP and ΔUVW are congruent:

∠M ≅ ∠U       MP ≅ UW∠P ≅ ∠W       PN ≅ WV∠N ≅ ∠V       MN ≅ UVPart 2

The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.

Corresponding sides are congruent:

3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3

Given ∠C ≅ ∠D

In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.

We can observe ∠AED ≅ ∠BEC as vertical angles.

Additional information we need is:

DE ≅ CEPart 4

Triangles ABC and ADC are congruent by SAS:

AB ≅ AD∠DAC ≅ ∠BACAC ≅ AC

Therefore corresponding sides BC and CD are also congruent

Perimeter of ABCD is:

P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cm

Answer:

Free to use your own personal information ℹ to help you find the best deal for the your business in the word of the day you free to do it and you can get a ghost 500k for your invitation or your personal life to make a name for your family and your family Merry Christmas and Happy New Year to you and your family Merry are you the

the 200$ camera was on sale 15% off what was the price

Answers

Answer: $170
15% off 100 is $15 x2 is 30

Answer:

$170

Step-by-step explanation:

Admission to the gymnastics meet was $2.40 for adults and $1.25 for students. If 540
tickets were sold for a total of $934.90, how many tickets of each were sold? (i’ll give brainliest just answer within the next 15 mins pls!!)

Answers

Answer:

hi friends I need help with the following me

Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?

Answers

She will need at least 8 bunches

31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57

Answers

Answer:

tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part

(PLS HELP <3)
The proportional relationship between the number of songs Stella downloads,
s, and the total cost in dollars and cents, c, can be represented by the equation
c=1.17s. How much does it cost to download a single song?

Answers

Answer:

1.17 dollars!

Step-by-step explanation:

We are given the equation c=1.17s

To break it down, it means that the cost in dollars=1.17 times amount of songs.

Lets plug in 1 for s.

1.17*1=1.17!

For one song, it will cost 1.17 dollars !

1.17 bucks is the answer!
Step-by-step instructions:
The equation c=1.17s is provided to us.
To put it another way, the cost in dollars equals 1.17 times the number of songs.
Let's substitute 1 for s.

A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?​

Answers

Answer:

  P55,000

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale(s).

  commission = rate × sales

  commission = 0.10 × p550,000 = P55,000

The agent will receive P55,000 in commission.

_____

Check

The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.

one kilogram of cheese costs £9.48
chris buys 650 g of this cheese
work out how much chris pays

Answers

Answer: $6.16

Step-by-step explanation:

100g = $0.948

50g = $0.475

$0.948*6 = $5.688

$5.688 + $0.475 = $6.163

Rounded = $6.16

Find the perimeter of the shape below:

Answers

Answer:

8m

Step-by-step explanation:

137x723+462x50=?


do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?

Answers

Answer: 122151no it is not okay for someone to do that behind the person their datings back honestly. i have had this happen to me by one of my ex boyfrie.nds and it does bother me that i let him hur.t me like that but no it isnt okay and you should never let it slide cause they could always do it again.

ALGEBRA​ Find ​x and ​y so that each quadrilateral is a parallelogram.
(Please do at least 2, but doing all 4 would be greatly appreciated, and i will mark u brainliest.)

Answers

7) 2y=y+19
y=19
2x-8=x+16
2x=x+24
x=24
8) y=14
x=3
9) x=44
y=20
10) x=17
y=9

WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

[tex]11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4[/tex]

19) and 20) you have in other your question.

A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.

Answers

Option C is correct.

Given to us:

female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,

Condition 1 is  [tex]12\geq x>0[/tex].

while,

male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,

Condition 2 is [tex]36\geq y>0[/tex].

There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.

To know more visit:

https://brainly.com/question/2141743

Answer:

c is the answer

Step-by-step explanation:

it took the test and got it correct

Write an inequality that represents the graph

Answers

Step-by-step explanation:

first step is to define the line, and then, secondly find the right direction of the inequality.

we see a few nice points with integer coordinates.

the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).

another point is (1, 3).

so, the slope is

x changes by +1 (from 0 to 1)

y changes by +2 (from 1 to 3)

so the slope is 2/1 = 2

that means our equation is

y = 2x + 1

the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).

so, we get

y > 2x + 1

NEED ANSWER VERY BAD BAD

Answers

5x + 18 + 81 + 4x = 180
Like terms
9x + 99 = 180

9x = 81

X = 9

Hope this helps!
Brainliest is much appreciated

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?

Answers

Answer:

  20 ft

Step-by-step explanation:

The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:

  4(5 ft) = 20 ft

The height of the bird house is 20 ft.

Step-by-step explanation:

that creates 2 similar triangles.

that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

so,

3.5 × f = 14

f = 14/3.5 = 4

and now the range factor applies in the relation between the heights :

5 × 4 = 20 ft

the bird house is 20 ft high.

Two-Variable Statistics:Question 2

You obtain a correlation value of r = -0.744 when you

analyze the relationship between the time it takes

someone to swim a mile and her heart rate at the end of

the swim. Choose the word completes this interpretation

of the correlation value: The correlation between the time

it takes to swim and heart rate is ___ and ___

Answers

I think it is your second option 5

can someone please help?!

Answers

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)​
(nvm, I figured it out. sorry lol)

Answers

Answer: The answer is C.

MAS CARDS
5. Determine if the equation has one solution, no solution, or infinite
solutions.
-2(x – 3) + 5 = -6(x + 1) + 4x

One solution
No solution
Infinite solutions

Answers

No solution

-2(x-3)+5=-6(x+1)+4x

Multiply to get rid of the parentheses

-2 x X = -2x
-2x-3=6

6 x X = 6x
6x1=6

New equation = -2x+6+5=-6x+6+4x

Add same

6+5=11
-6x + 4x = -2x

New equation = -2x+11=-2x+6

That just doesn’t work

Answer:

No solution

Step-by-step explanation:

-2(x-3)+5= -6(x+1)+4x

First Distribute:

-2x+6+5= -6x-6+4x

Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x

6+5+6= -6x+4x+2x

Last solve

17=0

no solution

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

even bc it doesn’t go through the origin

Answer:

even  

Step-by-step explanation:

5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)

Answers

Answer

A

Step-by-step explanation:

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

To know more about arithmetic progression follow

https://brainly.com/question/6561461

#SPJ2

Write the slope-intercept form of the equation
of the line through the given point with the
given slope.
17) through: (-5, -3), slope
5
A) y = x - 2
B) y=1/5x - 2
C) y = -x - 2
D) y=-3x - 2

Answers

Answer:

y=5x+22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-(-5))

y+3=5(x+5)

y=5x+25-3

y=5x+22

Help help math math

Answers

Answer:

C=31.41592654

Step-by-step explanation:

C=2πr

r=5

C=2π(5)

Therefore C= 10π or C=31.41592654

Answer:

C = 31.4

Step-by-step explanation:

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