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
Nastasia [14]
1 year ago
10

What is the solution to 3-3x + 9| = -18?

Mathematics
1 answer:
solmaris [256]1 year ago
8 0

Answer:

x = 5 or x = 1

Step-by-step explanation:

Absolute Value Equation entered :

     3|3x-9|=18

Step by step solution :

Step 1: Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|3x-9| = 18

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|3x-9|

For the Negative case we'll use -3(3x-9)

For the Positive case we'll use 3(3x-9)

Step 3: Solve the Negative Case

     -3(3x-9) = 18

Multiply

     -9x+27 = 18

    Rearrange and Add up

     -9x = -9

    Divide both sides by 9

     -x = -1

    Multiply both sides by (-1)

     x = 1

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

(3x-9) = 18

    Multiply

     9x-27 = 18

    Rearrange and Add up

     9x = 45

    Divide both sides by 9

     x = 5

    Which is the solution for the Positive Case

Step 5:  Wrap up the solution

x=1

x=5

Solutions on the Number Line

 

Two solutions were found :

x=5

x=1

You might be interested in
What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​
Oxana [17]

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

5 0
2 years ago
The law of exponent used in is _____
Lady bird [3.3K]
A is the answer I just did that on my usa test prep
5 0
2 years ago
Read 2 more answers
Northridge Middle School collected 5022 cans of food for a food drive. Each of 18 homerooms collected the same number of cans. A
taurus [48]

Answer:

Step-by-step explanation:

Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:

  5022 cans

----------------------  =  279 cans per homeroom

18 homerooms

5 0
3 years ago
Find the measure of each angle indicated. Round to the nearest tenth.
vampirchik [111]

Answer:

51

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Elis [28]

Answer:   slope of line n = -3

Reason: Parallel lines have equal slopes, but different y intercepts.

8 0
3 years ago
Other questions:
  • Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k
    9·2 answers
  • Please help! Brainiest
    12·2 answers
  • Which terms complete the factorization of x2+27x+162 represented by the model?
    16·2 answers
  • Two years ago, Ben borrowed $150 from his brother to buy a CD player. He agreed to pay $15 in interest. What is the simple annua
    7·2 answers
  • Is -5 a solution to the equation 6x + 5 + 8 + 2x ?
    11·1 answer
  • How do you solve this problem??​
    13·1 answer
  • After putting $5,500 as a down payment on a car, you pay $400 per month for 60 months to pay off your car. What was the total yo
    8·1 answer
  • OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is th
    15·1 answer
  • 16
    11·1 answer
  • Help please!!! LOOK AT IMAGE ATTACHED tysm for those who helped!! :)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!