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
Anika [276]
3 years ago
13

3x^3+2x^2-27x-18 How to solve using grouping

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

x=3 & x=-2/3

Step-by-step explanation:

  1. 3x^3+2x^2-27x-18
  2. (3x^3-27x)+(2x^2-18)
  3. 3x(x^2-9)+2(x^2-9)
  4. (3x+2)(x^2-9)
  5. 3x+2=0
  6. 3x=-2
  7. 3x/3=-2/3
  8. x=-2/3
  9. x^2-9=0
  10. x^2=9
  11. \sqrt{x^2=\sqrt{9}
  12. x=3
  13. x= -2/3 & x=3
You might be interested in
Which point satisfies the system of equations y= 3x - 2 and y=-2x + 3?
monitta

Answer:

The points which satisfy the given lines is ( 1 , 1 )  

Step-by-step explanation:

Given as :

The equation of lines is

y = 3 x - 2         ........    1  And

y = - 2 x + 3      ........ 2

From equation given

3 x - 2 = - 2 x + 3

Or , 3 x + 2 x = 3 +2

Or,   5 x = 5

So ,     x = \frac{5}{5} = 1

Put the value of x in eq 1

So, y = 3 ( 1 ) - 2

Or, y = 3 - 2 = 1

∴,  the points ( x , y ) = ( 1 , 1 )

Hence The points which satisfy the given lines is ( 1 , 1 )  Answer

5 0
4 years ago
13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indica
liraira [26]

Answer:

Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

<u><em>Let p = true percentage  of the population that suffers from extreme shyness.</em></u>

So, Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

8 0
4 years ago
Select a composite number to break into factors. Continue
IgorC [24]
I hope this helped! Mark me Brainliest! :) -Raven❤️

3 0
3 years ago
Read 2 more answers
What is 5 divided by 206 ?
Reika [66]
\frac{5}{206} cannot be simplified any further :

5=5x1
206=2*103
6 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = x +3?
Yanka [14]

Answer:

C)h(x) = x-3

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" values, then isolate for "x".

f(x) is the y value.

y = x + 3

x = y + 3   Switch x and y

x - 3 = y     Subtract 3 from both sides to isolate

y = x - 3   Change back to function of h

h(x) = x - 3

8 0
3 years ago
Read 2 more answers
Other questions:
  • A classroom had 35 glue sticks. if the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom h
    9·1 answer
  • Solve #10 asap please.
    13·1 answer
  • Lisa wants to frame her little brothers drawing as a gift to her mother's a rectangular drawing is 43.5 centimeters by 934 milli
    14·2 answers
  • Write an expression to represent the solution, six plus the quotient of a number and four.
    10·1 answer
  • Please help the question is in the picture
    9·1 answer
  • Julissa wants to join her local gym. A gym membership is $27 a month with a one–time initiation fee of $117. Which equation repr
    14·1 answer
  • 11. What's one way we can check our answer to 2
    11·1 answer
  • A figure is shown
    12·2 answers
  • The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
    8·1 answer
  • quick my girl just sent me a photo of a girl and shes asking me if shes cute, ik this trick but should i tell her the truth? or
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!