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
likoan [24]
2 years ago
8

Find the roots. 3x2 - 5x+ 2 =0

Mathematics
1 answer:
tigry1 [53]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Given

3x² - 5x + 2 = 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 = 3 × 2 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the x- term

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

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

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

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

Roots are x = 1, x = \frac{2}{3}

You might be interested in
Help <br> Brainleist<br> 15 points
geniusboy [140]
Z=22
180-120=60
2x+16=60
2x=44
Z=22
7 0
2 years ago
Read 2 more answers
1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \frac{opposite}{adjacent} = \frac{37}{65} , thus

x = tan^{-1} (\frac{37}{65} ) ≈ 30° ( to the nearest degree )

4 0
3 years ago
Read 2 more answers
1. Determine the lateral area of the rectangular prism.*<br> 8 cm<br> 5 cm<br> 9 cm
I am Lyosha [343]

Answer:

13 cm hshdhdhdhrhthbfuff fbfjfhft ryjrhr rjdjr ruebr ruebr

3 0
3 years ago
Please help solve the question in the image
____ [38]

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

7 0
3 years ago
How many oranges are in a crate if the price of a crate of oranges is $1.60 and the price of oranges is $0.20 per pound and ther
Shtirlitz [24]

Answer:

7 oranges

Step-by-step explanation: 3 oranges in a pound 0.20 cents per pound. 60 cents per pound add it up.

8 0
3 years ago
Other questions:
  • Find the amount of time to the nearest day it would take a deposit of $1300 to grow to 1 million at 17% compounded continuously.
    7·1 answer
  • Chloe wants to buy monitor for her bedroom the height of the monitor is 18 inches in the width is 16 inches calculate the diagon
    14·1 answer
  • Please Explain to me the steps of how to get the answer to -30+14.7
    12·2 answers
  • Given 2x+7=27 and 3x+1=28, does 2x+7=3x+1? Explain
    6·2 answers
  • #3 a and b both help answer
    15·1 answer
  • The sum of 5 consecutive integers is 110, what is the fourth number in this sequence?
    11·1 answer
  • Find the length of the unknown side. Round your answer to the nearest tenth.
    5·1 answer
  • What is the answer for x
    5·1 answer
  • Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tení
    15·1 answer
  • Post Test: Introduction to Geometry and Transformations
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!