1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexus [3.1K]
3 years ago
9

I’m in Algebra 2 and we’re currently on the subject of “Solving Absolute Value Equations” and I’m having trouble with this equat

ion. Please help!

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

let's bear in mind that an absolute value expression is in effect a piece-wise expression,  namely it has a ± versions of the same expression.

\bf 5|3x-4| = x+1\implies |3x-4|=\cfrac{x+1}{5}\implies \begin{cases} +(3x-4)=\cfrac{x+1}{5}\\[1em] -(3x-4)=\cfrac{x+1}{5} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(3x-4)=\cfrac{x+1}{5}\implies 3x-4=\cfrac{x+1}{5}\implies 15x-20=x+1 \\\\\\ 14x-20=1\implies 14x=21\implies x = \cfrac{21}{14}\implies \boxed{x=\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ -(3x-4)=\cfrac{x+1}{5}\implies -3x+4=\cfrac{x+1}{5}\implies -15x+20=x+1 \\\\\\ 20=16x+1\implies 19=16x\implies \boxed{\cfrac{19}{16}=x}

You might be interested in
The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees
Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0
3 years ago
Help it’s about the movie ANTZ
natta225 [31]
The kid movie ants?
6 0
3 years ago
During his visit to London, George Orwell decided to ask everyone he talked to whether or not the cameras made them feel more se
bogdanovich [222]

Answer:

84

Step-by-step explanation:

<em>i dont know if this is right or not but basscially you do 60 divided by 5/7 and yea....</em>

6 0
3 years ago
Read 2 more answers
Please answer!(20pts) Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compou
balandron [24]
I’m not quite sure but i need to help someone
8 0
3 years ago
On March 17th, Pinny Sporting Goods accepted a credit card purchase for $900. The credit card company charges a 2% service fee.
Vera_Pavlovna [14]

Answer:

A : debit to Service Charge Expense of $18.

Step-by-step explanation:

First, one should calculate the value, in dollars of the credit card service fee

Fee = 2% x $900 = $18.

Since this fee is classified as "money coming out" of the account, the entry to a record of this transaction should include a debit to Service Charge Expense of $18.

The correct answer is alternative A.

*The whole purchase amount ($900) should be credited and the service expense should be debited, unlike alternative C, which merges both entries into one.

6 0
3 years ago
Other questions:
  • Please help with number 3
    9·2 answers
  • Given the median QR and trapezoid MOPN, what is the value of x?
    14·2 answers
  • Please help me I’m so lost
    6·2 answers
  • Name all numbers between 67 and 113 that are a multiple of 4, 9 and 12.
    9·2 answers
  • How is solving a problem about constant speed similar to solving a problem about unit price?
    5·1 answer
  • Solve the inequality 3w+15 &gt;or= to 50
    8·1 answer
  • If the federal reserve decreases the reserve rate from 10% to 80% how does this affect the amount of money that would result bec
    8·1 answer
  • Eukaryotes have a nucleus, and prokaryotes have a nucleoid. (4 points) True False
    15·2 answers
  • Which graph represents the solution set of the system of inequalities? {y≥13x−3y&lt;−3x−3
    10·1 answer
  • Under her cell phone plan, Julieta pays a flat cost of $61.50 per month and $5 per gigabyte. She wants to keep her bill at $78 p
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!