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
pickupchik [31]
3 years ago
7

Solve the following quadratic equation 6x2 – 7x = 20

Mathematics
2 answers:
siniylev [52]3 years ago
5 0

Answer:

<h2>x = 5/2 , x = - 4/3</h2>

Step-by-step explanation:

6x² - 7x - 20 = 0

Using method of factorization

Rewrite - 7x as a difference

That's

6x² + 8x - 15x - 20 = 0

Factor the expression

That's

2x( 3x + 4) - 5( 3x + 4) = 0

Which is

(2x - 5) (3x + 4) = 0

2x - 5 = 0

2x = 5

Divide both sides by 2

x = 5/2

3x + 4 = 0

3x = - 4

Divide both sides by 3

x = -4/3

Hope this helps you

Marat540 [252]3 years ago
4 0

Answer:

x = -4/3 or x = 5/2

Step-by-step explanation:

given  6x² - 7x = 20

There are several ways to solve this, we'll choose to use the quadratic formula:

Recall that for a quadratic equation ax² + bx + c = 0

x = [ -b±√(b²-4ac)  ] / 2a

in our case, if we rearrange the equation, we will get:

6x² - 7x -20 = 0

comparing this with the general form of the quadratic equation above, we can see that

a = 6, b = -7 and c = -20

substituting these into the equation:

x = [ -b±√(b²-4ac)  ] / 2a

x = { -(-7)±√[(-7)²-4(6)(-20)] } / 2(6)

x = -4/3 or x = 5/2

You might be interested in
A company donates 2,292 gifts to a school. the gifts are diveded evenly among 19 classrooms. The rest of the gifts are given to
BARSIC [14]

Answer:

<em>Each classroom received 120 gifts and the hospital received 12 gifts</em>

Step-by-step explanation:

<u>Division As Evenly Distribution</u>

The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.

If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.

But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.

If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder

We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.

Answer. Each classroom received 120 gifts and the hospital received 12 gifts

6 0
3 years ago
PLEASE HELPPPP<br><br> How do I mark brainiest?
motikmotik

Answer:

There should be a crown that you can press which represents a brainiest

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If everything in a store is 20% off, and the discounted price of an item is $18.00, what is
jasenka [17]

The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

<h3>What is the percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

If everything in a store is 20% off, and the discounted price of an item is $18.00

Let's suppose the regular price is x

(100-20)% of x = 18

80x/100 = 18

x = $22.5

Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

6 0
2 years ago
What is equal to 6,530,000,000?
dsp73
Gee wiz man I don't know. that is a really big number. have you tried google? :/
5 0
3 years ago
What is the value of A when we rewrite 29^x/2 as A^x ?
lara31 [8.8K]
Is it
\frac{{29}^{x}}{2}
Or
29^\frac{{x}} {2}
6 0
3 years ago
Other questions:
  • A is 60% of B , B is 30% of C, what percentage of C is A
    10·1 answer
  • Jade solved the following equation:
    15·2 answers
  • -1/4 in decimal form
    7·1 answer
  • An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 2 mile
    11·1 answer
  • Please help me with this .
    15·2 answers
  • A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represent
    9·1 answer
  • 1. - x + 5y =-23 4x - y = 16​
    11·2 answers
  • 10% of what is 80,000?
    13·2 answers
  • A number plus 15 exceeds twice that number by 3<br><br>Translate into algebraic equation ​
    9·1 answer
  • N is a rational number.m is an irrational number.n2 cannot be an irrational number? why or why not
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!