|2x-8| + 3 = 5 two solutions

Answers

Answer 1

Answer:

The two solutions are 5 and 3

Step-by-step explanation:

The equation of the absolute has two solutions because IxI = a means x = a and x = -a

Let us solve the question using this fact

I2x - 8I + 3 = 5

→ Subtract 3 from both sides

∴ I2x - 8I + 3 - 5 = 5 - 3

∴ I2x - 8I = 2

By using the fact above

1st solution

2x - 8 = 2

→ Add 8 to both sides

∴ 2x - 8 + 8 = 2 + 8

∴ 2x = 10

→ Divide both sides by 2 to find x

x = 5

2nd solution

2x - 8 = -2

→ Add 8 to both sides

∴ 2x - 8 + 8 = -2 + 8

∴ 2x = 6

→ Divide both sides by 2 to find x

x = 3

The two solutions are 5 and 3


Related Questions

GIVING BRAINLIEST. LOTS OF POINTS. Describe a real-life situation that can be modeled by the equation 11x + 5 = 8x + 23

Answers

Answer:

See below.

Step-by-step explanation:

Jane and John are each hiking a trail in the city.  Jane is on her bike, and John is jogging.

At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.

Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.

x is the number of hours after noon.

Will Jane catch John?  After how many hours?

The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?

Answers

Answer:

A(8)=32cm

B(9)=36cm

C(10)=40cm

Step-by-step explanation:

let 8:9:10=A:B:C

∑ratios=8+9+10=27

Therefore lengths or triangles:-

Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6

Please answer this asap

Answers

Answer:

3/-2-2

Step-by-step explanation:

this should be parrallel

a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap

Answers

Answer:

113º

(pls mark brainliest if possible)

Step-by-step explanation:

Hexagon has sum of interior angles as 720º

127+85+121+135+139+x=720

607+x = 720

x= 113º

Please help middle school math​

Answers

Answer:

Greater than 7 cm.

Step-by-step explanation:

Answer:greater than 7 cm

Step-by-step explanation:

PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

Answers

Answer:

7

Step-by-step explanation:

What is the equation of this graphed line?

Answers

Answer:

Step-by-step explanation:

(-7 + 3)/(6 + 6) = -4/12 = -1/3

y + 3 = -1/3(x + 6)

y + 3 = -1/3x - 2

y = -1/3x - 5

Plot the image of Point Q under the translation (x,y) (x-3, y + 4)

Answers

Answer:

(0, 3)

Step-by-step explanation:

Subtract 3 units from the X-coordinate

Add 4 units from the Y-coordinate

Please help!!
What is the solution to 2x^2+x+2=0?

Answers

Answer:

your 3rd option

Step-by-step explanation:

[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]

[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]

[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]

[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]

Solve the system of equations below.
y=3x
2x + y = 15

Answers

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation

geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!

Answers

Answer:

Bro just complete your project. That's just plagiarism.

Step-by-step explanation:

Sorry but the teacher WILL notice.

Find X if m/angle UVY=84 degrees.

Answers

Answer:

x = 42º

Step-by-step explanation:

We know that m < UVY is equal to 84º (Given)

We know that < UVY = < SVW (Vertical Angles Theorem)

By substituting in the known values for the anges, we know that:

< UVY = < SVW

84º = 2x

Simplify the equation by dividing by 2 on both sides.

x = 42º

Hope this helps! Let me know if you have any questions!

Solution given:

<UVY=2x[vertically oppisite anglle]

x=84/2=42° is your answer

5.8(20-3x)=


please this is timed i need help!

Answers

Answer:

Step-by-step explanation:

5.8(20−3x)

=(5.8)(20+−3x)

=(5.8)(20)+(5.8)(−3x)

=116−17.4x

=−17.4x+116

Write a word phrase for -5 - 4n

Answers

Answer: four times a number subtracted by -5

Step-by-step explanation:

the question is “ for which point is the y coordinate greater than -3? choose all answers that apply

Answers

Answer:

It would be A, C, and D.

Step-by-step explanation:

Simplify the expression:

m - 1/6 - 4m + 5/6

Answers

Answer:

-3m+2/3.     2/3 is a fraction

Step-by-step explanation:

Which expression is equivalent to (x2+3x−5)− (4x2+3x−6)
PLEASE HURRY>>>>
A. 5x2+6x−11

B. −3x2+1

C. −3x2+1

D. −3x4+6x2+1

Answers

Answer:

B

Step-by-step explanation:

Given

x² + 3x - 5 - (4x² + 3x - 6) ← distribute parenthesis by - 1

= x² + 3x - 5 - 4x² - 3x + 6 ← collect like terms

= - 3x² + 1 → B

could somebody helppp meee pleaseeeeee

Answers

Answer:

(6-4)=2

2*49 . 7

91 . 7

13

14

:  

(6-4) = 2

2 x 49 = 98 / 7 = 14

( "/" means divide )

The line of symmetry of the shape is shown by a dotted line.
Complete the drawing of the shape and
then rotate it by 180° about the origin

Answers

Answer:

hard to go without a graph see explanation

Step-by-step explanation:

from each point, count har far away it is from the dotted mirror line and then count that many in the opposite direction.

for example, the spikey point at the bottom is 3 units below the mirror line so count 3 units above the mirror line and that is where other point will be

Two sisters bought together 14 books. One bought 9 books. Which of the following equation represent the number of books bought by the other sister (x)?

Answers

Answer:

9+x=14

Step-by-step explanation:

The x represents the other sister and all the books together would equal 14. The other sister got 5 books!

The equation that represents the number of books bought by the other sister is x + 9 = 14.

Here, we have,

given that,

Two sisters bought together 14 books. One bought 9 books.

To represent the number of books bought by the other sister (x) given that the two sisters bought together 14 books and one sister bought 9 books, we can use the equation:

x + 9 = 14

In this equation, x represents the number of books bought by the other sister.

The equation states that the sum of the number of books bought by the other sister (x) and the sister who bought 9 books is equal to the total number of books bought together, which is 14.

Therefore, the equation that represents the number of books bought by the other sister is x + 9 = 14.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ2

Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.

Answers

Answer:

Ivette is wrong and by a lot. The spaceship should be 23.59 feet high

Step-by-step explanation:

The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.

In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 =  23.59 feet high.

When you make scale drawings or scale cakes, you must keep the same proportions as the original model.

round 0.000007328. to the neartest millionth

Answers

Answer:

0.000007

Step-by-step explanation:

Hope this helpss!!

Answer:

0.000007

Step-by-step explanation:

The millionth place is 6 spots to the right of the decimal.

Our number is 0.000007328

6 spots to the right is 0.000007 (328)

3 is less than 5, so we do not round up.

The answer is 0.000007

I hope this helped, please mark Brainliest, thank you !!

four time a number is no more than one hundred and eight

Answers

Answer:

</ is what I use for equal to or less than

4x </ 108 for the inequality

x </ 27

Step-by-step explanation:

Is that what you needed?

Equation:

4x=108

'x' being the number mentioned

Solved Equation: (isolate x)

4x/4=108/4

x=27

Plzz mark me brainliest, hope this helped.

-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED

Answers

Answer:

 -3x2 + 12x - 8

Step-by-step explanation:

Equation at the end of step 1

 ((0 -  3x2) +  12x) -  8

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -3x2 + 12x - 8  =   -1 • (3x2 - 12x + 8)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 12x + 8  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +8  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 8 = 24  

Step-2 : Find two factors of  24  whose sum equals the coefficient of the middle term, which is   -12 .

     -24    +    -1    =    -25  

     -12    +    -2    =    -14  

     -8    +    -3    =    -11  

     -6    +    -4    =    -10  

     -4    +    -6    =    -10  

     -3    +    -8    =    -11  

     -2    +    -12    =    -14  

     -1    +    -24    =    -25  

     1    +    24    =    25  

     2    +    12    =    14  

     3    +    8    =    11  

     4    +    6    =    10  

     6    +    4    =    10  

     8    +    3    =    11  

     12    +    2    =    14  

     24    +    1    =    25  

Answer: y=−3(x−2)^2+4

Step-by-step explanation:

f(x)=-3*x^2+12*x+-8

f(x)=-3*(x^2+-4*x+8/3) ( Factor out )

f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )

f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )

f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )

f(x)=-3*(x+-2)^2+4 ( expand )

anyone her watch technoblade


1+1

Answers

Answer:

Yes.

Also, 1 + 1 = 2

Also:

Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.

Answer:

yes technoblade never dies

1+1=2

Help!! Will give the amazing crown!!

Answers

Answer:

[tex] - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78[/tex]

Step-by-step explanation:

There you go, have a good day

Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively. If at the end of the year. Ansah received Gh€ 5.000.00 more than boadu how much was boadu shared?

Answers

Answer:

Step-by-step explanation:

The share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.

Let 4x be the share of Boadu and 5x be the share of Ansah

4x + 5x = 5,000,00

9x = 5,000,00

x = 55555.55

The share of Boadu = 4x = 4(55555.55) = 222,222.22

Thus, the share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.

Answers

Answer:

1/5 + 2/5 = 3/5

Step-by-step explanation:

your welcome

Answer:

1/5+z=3/5

Step-by-step explanation:

What is angle A and B??

Answers

Answer:

A=45 b=110

Step-by-step explanation:

I used a calc

Answer:

A=135 b=200

Step-by-step explanation:

135+200+25=360

X+(x+65) +25=360

Subtract 25 from both sides

X+ (x+65)=335

Combine like terms

2x +65=335

Subtract 65 from both sides

2x =270

Divide by 2

X=135

To get b you just do 135+65=200

What is m∠A?

m∠A =
A. 66
B. 57
C. 113

Answers

Answer:

m∠A =

A. 66°

Step-by-step explanation:

∠C = ∠B

57 + 57 = 114

∠A = 180 - 114 = 66

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