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
REY [17]
3 years ago
10

How do I solve this equation by using the quadratic formula 3x^2-12x-27=-6

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Step-by-step explanation:

The quadratic equation is

x=−b=−√b2−4ac2a

for a quadratic taking the form

ax2+bx+c=0

So for this equation it is

x=−(−12)±√(−12)2−4⋅3⋅112⋅3

x=12±√144−1326

x=12±√4⋅36

x=6±√33

Natali [406]3 years ago
3 0

Answer:

Move all terms to the left side of the equation and simplify.

3x²−12x−21=0

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=3, b=−12, and c=−21 into the quadratic formula and solve for x.

(12±√(−12)²−4⋅(3⋅−21)0/2⋅3 Simplify =>  x=2±√11

The result can be shown in multiple forms.

Exact Form: x=2±√11

Decimal Form: x=5.31662479…,−1.31662479…

Step-by-step explanation:

You might be interested in
Express the number in scientific notation. 780,000,000
Aloiza [94]
Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.

In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.

7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.

The final number looks like this:

7.8 * 10^8

780,000,000 in scientific notation is <span>7.8 * 10^8
Hope that helped =)</span>
4 0
4 years ago
Read 2 more answers
If f ( x ) f ( x ) is a linear function, f ( − 5 ) = 0 f ( - 5 ) = 0 , and f ( 2 ) = 4 f ( 2 ) = 4 , find an equation for f ( x
Effectus [21]

Answer:

f(x) = 4/7x + 20/7

Step-by-step explanation:

If we were to graph this function, we would see that the two points would be, (-5, 0), and (2, 4). First, we have to find the slope, which is equal to:

<u>(first y-coordinate - the second y coordinate)</u>

(first x-coordinate - second x coordinate)

= <u>(0 - 4)</u>

   (-5 - 2)

= -4/-7 = 4/7. now, we multiple -5 by 4/7 and get -20/7. we have to add 20/7.

Thus, the answer is f(x) = 4/7x + 20/7

5 0
3 years ago
Read 2 more answers
Given: △PRS, RS=10<br> m∠P=45°, m∠S=60°<br> Find: Perimeter of △PRS
Keith_Richards [23]

The law of sines can be used to find the missing side lengths.

... RP = sin(60°)/sin(45°)·10 = 10√(3/2) ≈ 12.247

... PS = sin(75°)/sin(45°)·10 ≈ 13.660

Then the perimeter is

... perimeter = RS + RP + PS

... = 10 + 12.247 + 13.660 ≈ 35.91 . . . .units

3 0
4 years ago
What is 9 - (-8) = 20 and how did you get that answer?
Colt1911 [192]

Answer: No solution

Step-by-step explanation:

9-(-8)=20             given

9+8=20                the two negatives cancel out, making the eight positive

17=20                   this statement is not correct, so the answer is no solution

no solution

I'm not sure if there was supposed to be a variable in there somewhere, but I did my best to explain. Hope this helps!

4 0
3 years ago
Read 2 more answers
Simplify -(x-2y)-y I need help
tatiyna
The simplified version of this equation would be

-x + y
3 0
3 years ago
Other questions:
  • A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san
    6·1 answer
  • Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)
    12·2 answers
  • What is the relationship between a triangle and a square?<br> Not numbers OK!!!!!!! Please help me
    10·1 answer
  • Find tan A for the triangle below.
    15·2 answers
  • The current temperature is -7C.The high temperature yesterday was an many degrees about 0C. Which expression could be used to fi
    11·1 answer
  • At prestige university, the ratio of females to males is 3:1. if there are a total of 4811 students, how many are female?
    11·1 answer
  • Please help! I need this now who ever gets this first will get a brainlest
    13·2 answers
  • Can someone answer just this one? Thank you :)
    6·2 answers
  • The triangle shown below has an area of 20 units. Find the missing side.
    10·1 answer
  • Convert 3 m 40 cm to metre​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!