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
Korolek [52]
3 years ago
13

Hiiiiii peoples Solve the inequality 6x^2-x<2 please show all steps

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:(3x−2)⋅(2x+1)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

:

Equation at the end of step 1

 ((2•3x2) -  x) -  2

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  6x2-x-2  

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   6 • -2 = -12  

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -1 .

     -12    +    1    =    -11  

     -6    +    2    =    -4  

     -4    +    3    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  3  

                    6x2 - 4x + 3x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (3x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (3x-2)

Step-5 : Add up the four terms of step 4 :

                   (2x+1)  •  (3x-2)

            Which is the desired factorization

Final result :

 (3x - 2) • (2x + 1)

You might be interested in
Identify the property demonstrated. (7x3)^4 = 7^4 x 3^4
Vikki [24]
( 7 x 4 ) ^4 = 7^4  x  3^4
The rule is:
( a * b )^n = a^n * b^n
Answer:
D ) Power of a Product Property
6 0
3 years ago
Read 2 more answers
For me and Thomas uhh
atroni [7]

Answer:

what does that question mean?

5 0
3 years ago
How many grams are in 8 fluid ounces
WITCHER [35]

there are 226.796 grams in 8 ounces

6 0
3 years ago
Read 2 more answers
To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
kaheart [24]
A. x∧2+(x+20∧2=150∧2  is correct.

because you need to plug the numbers into the pathagoreum theorum which is 
a∧2+b∧2=c∧2

150 is our c because it is the side right accross from the right angle.

which number is a and which number is b does not matter.

x is the distance north so we can assign that to a and the distace east is north plus 20 so we can assign b to x+20.
6 0
3 years ago
Read 2 more answers
Abraham is installing carpet in his bedroom. On the blueprints, Abraham's bedroom is 6 inches wide and 10 inches long. If the sc
erma4kov [3.2K]

Answer:

240 square feet

Step-by-step explanation:

Hello, I can help you with this

Step one

find the real scale

According to the data

scale is 1 in : 2 ft

also remember  1ft=12 inches

so

scale is 1in: 2(12 inches)

scale is 1 in :24 in

the purpose of use inches a unit in both sides is to eliminate the, the scale must be adimensional

so escales is

1:24  , this means, that a measure on the blueprint must be multiplied by 24 to know its real value

Step 2

with the escale find the real dimensions, you can use a rule of three

Abraham's bedroom is 6 inches wide

blueprint ⇔ bedroom

1 in ⇔ 24 in

6 in ⇔x

x=(6*24)/1

x=144 inches=12 ft

 Abraham's bedroom is  10 inches long

1 in ⇔ 24 in

10 in ⇔y

y=(10*24)/1

x=240 inches=20 ft

Step  3

find the area

the area is wide *long

area=x*y

area=12ft*20ft

area=240 square feet.

Have a good day

5 0
3 years ago
Other questions:
  • Apply the Distributive property to rewrite 2(6-x)=3. Choose the correct answer below? *
    15·2 answers
  • Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that she can reserv
    5·1 answer
  • PLEASE HELP ASAP!!! 30 PTS + BRAINLIEST FOR RIGHT/BEST ANSWER!!!
    11·1 answer
  • I'm confused on what the inequality is
    13·1 answer
  • Albert wants to buys some pens. He is comparing 4 different packs of pens. The number of pens in each pack and the cost of the p
    9·1 answer
  • Solve the inequality 5(2h+8)&lt;60
    10·1 answer
  • The volume of this cylinder is 32π yd2. Find the height.
    14·1 answer
  • Which matrix is matrix B?
    15·1 answer
  • Which description best describes the solution to the following system of equations? (4 points)
    10·1 answer
  • Need help finding 2 more points on the line for question # 12(3,8) and (-4,8)Slope:8-8/-4-3 = 0/-7
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!