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
kkurt [141]
3 years ago
9

How do you solve 9| x+8 | + 10 < 55 & how is it graphed

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0
Hello!

First, let's write the problem.
9\left|x+8\right|+10\ \textless \ 55|x+8|+10\ \textless \ 55
Subtract 10 from both sides.
9\left|x+8\right|+10-10\ \textless \ 55-10
9\left|x+8\right|\ \textless \ 45
Divide both sides by 9.
\frac{9\left|x+8\right|}{9}\ \textless \ \frac{45}{9}
\left|x+8\right|\ \textless \ 5
When we got absolute value, we are going to get two results.
x+8\ \textless \ 5
and
x+8\ \textgreater \ -5

Let's solve the first one,
x+8\ \textless \ 5x+8\ \textless \ 5
Subtract 8 from both sides.
x+8-8\ \textless \ 5-8
x\ \textless \ -3x\ \textless \ -3

Let's solve the second one.
x+8\ \textgreater \ -5
Subtract 8 from both sides.
x+8-8\ \textgreater \ -5-8
x\ \textgreater \ -13x\ \textgreater \ -13

Let's combine the ranges.
-13\ \textless \ x\ \textless \ -3

The attachment shows how would you graph it.
You can feel free to let me know if you have any questions regarding this.
Thanks!

- TetraFish

You might be interested in
The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
The high temperature one day was -1 °F. The low temperature was -5 °F. What was the difference between the high and low temperat
insens350 [35]

Answer:

The difference is 4 degrees

Step-by-step explanation:

If its difficult for you to subtract negatives just switch them to a positive 1 and 5 now subtract 1 from 5=4  and because the measure being used is degrees the final answer would be 4 degrees.

5 0
2 years ago
The sides of a triangle are 1, x, and x2. what are possible values of x?
Whitepunk [10]
The sides of the triangle are given as 1, x, and x².

The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.

Consider 3 cases
Case (a):  x < 1,
      Then in decreasing size, the lengths are 1, x, and x².
      We require that x² + x ≥ 1
      Solve x² + x - 1 = 
      x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
      Reject the negative length.
     Therefore, the lengths are 0.382, 0.618 and 1.

Case (b): x = 1
   This creates an equilateral triangle with equal sides
    The sides are 1, 1 and 1.

Case (c): x>1
  In increasing order, the lengths are 1, x, and x².
  We require that x + 1 ≥ x²
  Solve x² - x - 1 = 0
  x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
  Reject the negative answr.
 The lengths are 1, 1.618 and 2.618.

Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.

7 0
3 years ago
Below is the graph of y=x^3. <br> Translate it to make it the graph of y=(x-4)^3-1
Vadim26 [7]

Answer:7=0.5 |x-4| -3

+3                +3

10=0.5 |x-4|

10/0.5=0.5/0.5 |x-4|

20=|x-4|

           ^

-20=x-4   20=x-4

 +4    +4    +4    +4

-16=x       24=x

The answers are -16=x and 24=x

Hope this helps, an if it pleases you put as the brainliest answer

8 0
3 years ago
Read 2 more answers
Select a composite number to break into factors. continue factoring until all factors are prime
fgiga [73]

Answer:

2*2*3*3*5

Step-by-step explanation:

180 = 18*10

18 and 10 are both composite

       = 6*3    * 5*2

3,5,2 are prime but 6 is composite

     = 3*2  * 3 * 5 * 2

     All the factors are prime

Listing in order

2*2*3*3*5

6 0
3 years ago
Other questions:
  • IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha
    13·1 answer
  • HELP. Need to find factored form of the related polynomial.
    11·2 answers
  • Sin (22°) = cos (x)
    13·1 answer
  • How much water
    15·1 answer
  • In mixed fractions, which fraction is equivalent to 16/3
    8·2 answers
  • Darrin is hanging 200 feet of Christmas garland on the fencing that encloses his rectangular front yard. The length is 5 feet le
    6·2 answers
  • Jessica wants to donate $23 of her paycheck from Peter Piper Pizza. She made $168 on her paycheck. What percentage of her payche
    7·1 answer
  • In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.
    8·1 answer
  • Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all pac
    7·1 answer
  • 5 pointsWhich is the image of vertex Lafter the triangle is rotated 180 degrees about the origin?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!