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
kenny6666 [7]
2 years ago
11

49nsquared - 301n + 42 = 0 pls show work.

Mathematics
1 answer:
tigry1 [53]2 years ago
6 0

The solutions to the given quadratic equation {49n² - 301n + 42 = 0 } are 1/7 and 6.

<h3>What are the solutions to the given quadratic equation?</h3>

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question;

49n² - 301n + 42 = 0

Compared to the standard form of quadratic equation { ax² + bx + c = 0 }

  • a = 49
  • b -301
  • c = 42

We plug in these values into the quadratic formula.

x = (-b±√(b² - 4ac)) / (2a)

x = (-(-301) ±√((-301)² - 4 × 49 × 42 )) / (2 × 49)

x = ( 301 ±√( 90601 - 8232 )) / 98

x = ( 301 ±√( 82369 )) / 98

x = ( 301 ± 287) / 98

x = (301 - 287)/98, (301 + 287)/98

x = 14/98, 588/98

x = 1/7, 6

Therefore, the solutions to the given quadratic equation {49n² - 301n + 42 = 0 } are 1/7 and 6.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

You might be interested in
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4% of the total inter
noname [10]

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out  he invest in each.

To proof

Let us assume that Paul invested  in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested  in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

=\frac{4}{100}

= 0.04

First convert 5% in the decimal form

=\frac{5}{100}

= 0.05

Than the equation become in the form

0.04x + 0.05 × 3x = 475

0.04x + 0.15x = 475

0.19x = 475

x = $2500

Paul invested  in an account paying 4% be = $2500

Paul invested  in an account paying 5% be = $7500

Hence proved






5 0
3 years ago
Find the amount of trees in the 43,560 ft
Simora [160]

Answer:

4356

Step-by-step explanation:

6 0
3 years ago
HELP PLEASEEEEEEE WILL MARK YOU AS BRAINLEIST no guesses please!!!
Anastaziya [24]

-4, +1

And then the 20 letters i need to write are right here

4 0
4 years ago
What is the area of a pizza with a
Anna11 [10]

Answer:

15.7 inch^2

Step-by-step explanation:

A pizza is circular in shape.

Therefore,

Area of a circle = pi r^2

radius r =d/2

From the question , diameter given is 10

r = 10/2 = 5

Pi = 3.142

Area = 3.142 x 5

= 15.71

= 15.7 inch^2

3 0
4 years ago
The amount of money in a saving account increase from $250 to $270 what is the precent increase of the money in the savings acco
saveliy_v [14]

Answer:

8%

Step-by-step explanation:

percent increase = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%

7 0
3 years ago
Read 2 more answers
Other questions:
  • Considering the following system of equations y=6x^2+1 y=x^2+4
    10·2 answers
  • A^2-2ab+b^2-c^2 This is my question from algebric equation ​ please answer
    14·1 answer
  • a computer was priced at $850. you paid 20% in cash select the best answer how much was not paid in cash
    13·1 answer
  • 5 students participated in a push-up competition.
    12·1 answer
  • In 2000, about $155 billion was spent by teenagers in the United States. In 2001, the amount spent by teenagers increased by abo
    11·1 answer
  • If you solve this you are a genius......Mr.Harry had 4 daughters ‍‍‍‍ each daughter had a brother ‍♂️ ....How many children does
    10·2 answers
  • What is -0.24569 rounded to the nearest hundredth?​
    13·2 answers
  • The Size of Jupiter is 2 x 10 to the power of 27 and the size of Saturn is 6 x 10 to the power of 26. How many times bigger is J
    9·2 answers
  • Find the area of the following shapes
    5·2 answers
  • Is this a function please help me​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!