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
Mariulka [41]
3 years ago
12

Solve for x. Write both solutions, separated by a comma. 6x^2 + x-1=0

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

x = - \frac{1}{2}, x = \frac{1}{3}

Step-by-step explanation:

Given

6x² + x - 1 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 1 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

6x² - 2x + 3x - 1 = 0 ( factor the first/second and third/fourth terms )

2x(3x - 1) + 1(3x - 1) = 0 ← factor out (3x - 1) from each term

(3x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

You might be interested in
Help me and u will get 100 points at the end
Lera25 [3.4K]

Answer:

x > 0 and y < 2

Step-by-step explanation:

By definition the inverse of a function is simply, when the domain and range are swapped. So if the domain of g(x) is x < 2 and y > 0, then the inverse will have these swapped. So x > 0 and y < 2

3 0
1 year ago
Read 2 more answers
Two parallel lines are cut by a transversal. What is the measure of 28?
True [87]

Answer:

it will option D 100degree bcz of corresponding angle property

6 0
3 years ago
Read 2 more answers
Joe borrowed 12 books from the library four books were for himself the rest were for his little brother how can the number of bo
AlexFokin [52]

Answer:

subtract 4 from 12

Step-by-step explanation:

3 0
3 years ago
Please please help me
Gekata [30.6K]

Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

8 0
2 years ago
The probability that a randomly selected point on the grid below is in the blue area is 9/16
DochEvi [55]

Answer:

The correct option is 1.

Step-by-step explanation:

it is given that the probability of a randomly selected point on the grid below is in the blue area is 9/16.

In the given grid we have only two colors that are blue and white.

Let A be the event of a randomly selected point on the given grid is in the blue area.

P(A)=\frac{9}{16}

If the randomly selected point on the given grid does not lie in the blue area, it means it lies on white area.

We will calculate P(A'), to find the probability that a randomly selected point is in the white on the grid.

We know that the sum of the probability is 1.

P(A)+P(A')=1

P(A')=1-P(A)

It is given that P(A)=\frac{9}{16}

P(A')=1-\frac{9}{16}

Therefore option 1 is correct.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Order these numbers from least to greatest , 8.102 , 8.1212 , 8.12 , 8.2
    6·2 answers
  • Logan collect pledges for the charity walkathon. He will receive total contributions of $60 plus $20 for every mile that he walk
    10·1 answer
  • Annabelles homework is 75% complete.it took her 3 hours. how long should she estimate it will take her to complete her homework.
    10·2 answers
  • Alexandra wishes to surround his rectangular flower bed with a gravel walk 1 meter wide flower bed is 5m and the width is 4m. Wh
    13·1 answer
  • How do I find angle OCD? pls help
    12·1 answer
  • HELPPPP!!!!<br><br><br><br> PLZZZZ!!
    8·1 answer
  • Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and
    12·1 answer
  • Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c
    10·2 answers
  • H e l p M e plsss and explain pls
    12·2 answers
  • Jaleesa bought 2 notebooks for $8. 75 each and 1 textbook for $74. 95. If the sales tax was 7%,
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!