solve |6x+3| = 27 .....

Solve |6x+3| = 27 .....

Answers

Answer 1

Answer:

Step-by-step explanation:

The absolute value of a number is defined as the positive of either a positive or a negative number. By that I mean that

| 1 | = 1 and | -1 | = 1.  Right?

We use that idea here. Either:

6x + 3 = 27     OR      6x + 3 = -27 and solve both equations.

6x = 24 so x = 4 OR

6x = -30 so x = -5

Choice D is the one you want.


Related Questions

find the missing side of the triangle.​

Answers

10^2 - 5^2 = x^2
75 = x^2
Square root of 75 or just write it as 8.6

Find the total surface area of this square based
pyramid.
10 in
5 in

Answers

Answer:

125in

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

Calcula el valor de “x” en:
5(3x – 4) – 17 = 5(x + 8) – 17

Answers

Answer: x = 6

Step-by-step explanation:

Sume 17 a ambos lados

5(3x-4)-17 + 17=5(x+8)-17 +17

Simplifica

5(3x-4)=5(x+8)

Expandir 5(3x -4) : 15x - 20

Expandir 5(x+8) : 5x +40

15x - 20 = 5x +40

Sume 20 a ambos lados

15x - 20 + 20 = 5x +40 +20

Simplifica

15x = 5x +60

Restar 5 de ambos lados

15x - 5x = 5x + 60 - 5x

Simplifica

10x = 60

Divide ambos lados entre 10

10x/10 = 60/10

Simplifica

x = 6

43. Para determinar la altura de un árbol nos apoyamos en los siguientes triángulos semejantes que se forman entre el árbol y

una lámpara

00

D

*ACB= 30°

3m

E

20 m

5 m

¿Cuál es la altura del árbol?

ООО

A. BA = 12 m

B. BA = 15 m

C. BA = 33.33 m

D. BA = 60 m

O

Answers

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12

The equation of a function and its table of values has been given. Complete the table.

=−2+5

Answers

Answer:

X    -2     - 1     0    1     2

Y     9       7     5    3     1

Step-by-step explanation:

Given equation:

y = -2x + 5

Find:

Complete table

Computation:

Missing table;

X    -2     - 1     0    1     2

Y

y = -2x + 5

When x = -2

y = -2x + 5

y = -2(-2) + 5

y = 9

When x = -2

y = -2x + 5

y = -2(-1) + 5

y = 7

When x = -2

y = -2x + 5

y = -2(0) + 5

y = 5

When x = -2

y = -2x + 5

y = -2(1) + 5

y = 3

When x = -2

y = -2x + 5

y = -2(2) + 5

y = 1

X    -2     - 1     0    1     2

Y     9       7     5    3     1

convert 8 1/10 into an improper fraction

Answers

Answer:

81/10

Step-by-step explanation:

someone please help i am not 100% sure how to do this and i need it for the rest of my tesr

Answers

Answer:

angleCFE=21 because inscribed angle is half the central angle standing on same same arc.

The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?


Write the equation to solve the problem.


Solve for x


Find the side of the triangle

Answers

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

Does this graph show a function? Explain how you know.

O A. Yes; the graph passes the vertical line test.
O B. Yes, there are no y values that have more than one xvalue.
O C. No; there are y-values that have more than one xvalue.
O D. No, the graph fails the vertical line test.​

Answers

Answer:

A

Step-by-step explanation:

Find x in the given figure
A: 60°
B: 55°
C: 125°
D: 35°

Answers

Answer:

C: 125

Step-by-step explanation:

First of all we can see that one angle is 55 degrees. Due to the fact it is on a straight line, we can assume to angle directly on the left of it, 6 is 180-55. Because a straight line is 180 degrees and we already have 55 degrees filling it. So if we do that, we can see that angle number 6 is 125 degrees. Which if we use the corresponding angles theroem, we get that angle number 1 is also 125 degrees. And because number 1 and x are corresponding angles, x is also 125 degrees. There are many ways to do it but I did this way the fastest. I challenge you to try to find another way to solve it.

Hope this helps!

^^Unfortunately, the answer is not 125.


In order for the answer to be 125, it would have to be obtuse, more than 90 degrees.


As you can CLEARLY tell, that angle is not larger than 90. That’s just common knowledge.

Angle X is 55.


Please do not listen to the person above me.

Thank you, hope this helps.

cos theta Root over 1 - cos square theta​

Answers

Answer:

[tex]{ \bf{ \cos \theta \sqrt{1 - { \cos }^{2} \theta } }} \\ { \sf{ = \cos \theta \sqrt{ { \sin }^{2} \theta} }} \\ { \sf{ = \cos \theta \sin \theta }} \\ { \sf{ = \frac{1}{2} \sin(2 \theta) }}[/tex]

A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

Answers

Answer: Its B i just took the test

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
15
12
Answer:
Submit Answer
attempt 1 out of 2
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Copyright 2021 DeltaMath.com. All Rights Reserved
PLS HELP ASAP

Answers

Answer:

The length of the third side is 9.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

12² + b² = 15²

144 + b² = 225

√b² = √81

b = 9

Find the endpoint/midpoint.Please hurry

Answers

Answer:

im not sure, but i have

Step-by-step explanation:

Answer:

Step-by-step explanation:

inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answers

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

Look at the graph shown.


Which equation best represents the line? (4 points)


y = 1 over 3.x − 1

y = 3x − 1

y = −x + 1 over 3.

y = 3x + 1

Answers

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

Please answer this, I don't have much time left!

Answers

Answer

1 + 5 ÷ 5

This would equal 2, using BIDMAS.

how to evaluate 4(x+2−5x) when x=2

Answers

Answer:

-24

Step-by-step explanation:

4(x+2−5x)

Combine like terms

4(2 -4x)

Distribute

8 -16x

Let x=2

8 - 16(2)

8 - 32

-24

Given :

how to evaluate 4(x+2−5x) when x=2

To Find :

The value after evaluating

Solution :

We are provided that x equals 2 so have to put 2 instead of x to the desired result

4(x + 2 - 5x)

Putting the value of x we get

4(2 + 2 - 5 × 2)

According to BODMAS multiplication comes first then addition

So 5 × 2 will be solved after that we will simplify 2 added with 2

4(2 + 2 - 10)

4(4 - 10)

4(-6)

- 24

Henceforth, the required answer is -24

Giving brainliest! Graph and solve the inequality y≤2|x+2|-7

Show the vertex, whether it’s a dotted or solid line, and axis of symmetry, also where the graph should be filled in!

Answers

Answer:

hope this helps u......

Answer:

Step-by-step explanation:

I don't know why the graphs I have been putting in look like that. simpler way of putting it is the line is where the red and black meet. if that makes sense. I'm sorry if is doesn't. I hope this helps tho.  

can a kind soul pleaseee help me???!!!!!!!!!!!!!!!

Consider the line y = 4x + 9. If a *second* line is perpendicular to this one, what is its slope?

please show how you got it so I can see if the answer makes sense!!!!

Answers

Answer:

m=-1/4

Step-by-step explanation:

a perpendicular slope such that the original is m is -1/m, the negative reciprocal

-URGENT- please helppp-

Answers

Answer:

Last option. She didn't use the reciprocal.

Answer:

The second, third, and fourth

Step-by-step explanation:

When you multiply two fractions, you multiply the numerator and denominator, not add them. Also, when you divide by a fraction and want to turn it into multiplication, you multiply by the reciprocal, which she didn't do. Hope this helps!

what is 2/5 divided by -1/2 minus 3/2

Answers

Answer:

[tex] - \frac{23}{10} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]

➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{23}{10} [/tex]

the tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?

the attachment is the table

Answers

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answers

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

----------------------

     15   = 2x - 5

     +5           +5

-----------------------

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

how many square metres of floor are there in a room of 6 metres

ig something like that

Answers

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i

Answers

Answer:

b and c

Step-by-step explanation:

Given

x² - 4x = - 5

Solve by using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 2)x + 4 = - 5 + 4

(x - 2)² = - 1 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )

x = 2 ± i

Then solutions are

x = 2 - i → b

x = 2 + i → c

what is 8 to the 4thpower

Answers

8 to the fourth power is:

8² · 8² =

64 · 64 =

4096

4096

8^4 could be written as 8x8x8x8.

Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.

Answers

The area of a triangle is A = (b*h)/2:
(5 * 8)/2 = 20

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

Acellus, Inscribed Angles
Find the value of y.
x
120°

Answers

Answer:

[tex]y=60\textdegree[/tex]

Step-by-step explanation:

The Tangent-Secant Interior Angle Measure Theorem states that the measure of an angle formed by a tangent and a secant of a circle at the point of tangency is equal to half of the measure of its intercepted arc.

Therefore, [tex]y=\frac{1}{2} *120\textdegree = \bf 60\textdegree[/tex]. Hope this helps!

Other Questions
You work for Dr. Zhang, the autocratic dictator of Zhouland. After taking an economics course, you decide that devaluing your currency (Zhoullars) is the way to increase GDP. Following your advice, Dr. Zhang orders massive increases in the supply of Zhoullars, which reduces the value of Zhoullars in world markets. Use the AD-AS model and assume the economy was in long-run equilibrium before this change. Remember to consider only this change as you determine your answers. In the short run, the policy will cause the price level to __________, real GDP to __________, and the unemployment rate to __________. Read the paragraph. Then answer the question that follows.Perhaps you wanted pizza for dinner, but were out voted by the rest of the family who wanted chili. This is similar to what happens in a community. One person has to give up a right for the good of the group. Sometimes citizens' duties and rights conflict with each other. A good example is a public protest. People have the right to meet in groups and share ideas. However, a protest can disrupt traffic or other normal activities. A city must provide extra police protection to keep people safe. Therefore, the city has the right to require permission in advance for a protest. Government must make laws to balance the rights of individuals and different groups of people.Which of the following statements best describes this paragraph? The paragraph describes the purpose of laws in a community but lacks the use of any text connections. The paragraph describes a simple comparison between a family protest and a community protest. The paragraph uses categories of comparison to judge whether individual or group rights are most important. The paragraph uses the analogy of a family is to choosing dinner as a community is to balancing rights and safety. Even though you praise your dog for sitting inside on his bed and chewing the bone you gave him, your dog insists on going outside and burying his bone. This is MOST likely an example of: Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6? x + 4 < 16 what the heck is the dang answer Ni dung v thc trng v gii th doanh nghip hin nay this graph represents the function f(x)=4sin(x) which statement is true about this function When n resistance each of value x are connected parallel then resultant resistance x. When these n resistor connected in series. Total resistance Glycolysis occurs in 1) mitochondria2) cytoplasm3) ER5) Plastids For Gerald the Human Cannonball, the gunpowder transforms and gives Gerald what type of energy? Hector's Position:Hector was standing halfway between first and second base, at the grass line. Thegrass line is 95 feet from the pitcher's mound.6. Calculate the coordinates for Hector's position. 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The equations for the two chemicals added together with respect to the number of unit produced are given below:[tex]C_1(x)=\frac{x}{x+1} , C_2(x)=\frac{2}{x-3}[/tex]The equation for the holding container with respect to the number of unit produced is given below:[tex]H(x)=\frac{x^3-9x}{x}[/tex]a. What rational expression do you get when you combine the two chemicals?b. What is the simplified equation of ?c. What would the volume be if 50, 100, or 1000 units are produced in a day?d. The company needs a volume of 3000 How many units would need to be produced in a day? Kelly, a human resource specialist, has been asked to investigate complaints that an employee is bullying co-workers. Kelly is obligated to protect this employee's privacy by ensuring that any information gathered is relevant to the complaint.a. Trueb. Falsebu Algebra 1 need help ASAP In Schenck v. 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