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
tankabanditka [31]
3 years ago
10

Solve the following equation by factoring: 9x^2 – 3x – 2 = 0

Mathematics
2 answers:
maks197457 [2]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Given

9x² - 3x - 2 = 0

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

product = 9 × - 2 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

9x² - 6x + 3x - 2 = 0 ( factor the first/second and third/fourth terms )

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

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

Equate each factor to zero and solve for x

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - \frac{1}{3}

crimeas [40]3 years ago
5 0
The answer is A. X=-1/3 or x=2/3
You might be interested in
Simplify -4(x-5) +3(a-7)
PilotLPTM [1.2K]

Answer:

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

Step-by-step explanation:

-4x + 20 +3a - 21

3a - 4x - 1

6 0
3 years ago
QUESTION 4 If 1 foot = 0.37 metres and 1 mile = 5,180 feet, find the number of kilometres in 15 miles. show how to work out the
Andreas93 [3]

Answer:

28.749 km

Step-by-step explanation:

in reality

1 foot = 0.3048 meters not 0.37

1 mile = 5,280 feet not 5,180

15 miles  = 24.14016 kilometers

---------------------------

Using the numbers stated in the problem

0.37m/ft * 5180ft/mile * 15mile * 1km/1000m = 28.749 km

4 0
2 years ago
What is the value of x in the diagram?
Verizon [17]
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ  is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2


5 0
3 years ago
The Wolfpack has won 11 games and lost 9 games this season. What percent of its games did the Wolfpack win?
defon
First, you need to find the total amount of games played by adding 11 and 9
11 + 9 = 20
Now you have to divide 11 by 20. If you wanted to find the percent of games lost, you would divide 9 by 20.
11 \div 20
answer: 55%
8 0
3 years ago
Read 2 more answers
3+6 times (5+4) ÷ 3-7
Tju [1.3M]

Answer:

14

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • At a recent baseball game, anyone under the age of 12 was given one free hotdog. Travis had to pay for the hotdog that he ate. H
    10·2 answers
  • If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the num
    7·1 answer
  • Write 850 as the product of its prime factor
    11·1 answer
  • Michelle wants to make cupcakes for her daughter's birthday. The recipe calls for 3/4 cup of brown sugar, 1 1/2 cups of white su
    15·1 answer
  • The expression -120+13m represents a submarine that began at a depth of 120 feet below sea level and ascended at a rate of 13 fe
    15·1 answer
  • How do I do this I really need to know!
    7·1 answer
  • I really need help!!
    5·1 answer
  • A scuba diver descends slowly into the ocean at a constant rate. His depth is recorded for the first minutes in the following ta
    14·1 answer
  • The value of 2^0 ??
    12·2 answers
  • Find the missing endpoint when M is the midpoint (-1,6) (7,9) Р M Q​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!