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
ella [17]
3 years ago
8

Solve for x.....................

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0

Answer:

C. x=\frac{7}{3} and x=\frac{-3}{2}

Step-by-step explanation:

We have the quadratic equation 6x^{2}-5x-21=0.

Now, the roots of the quadratic equation ax^{2}+bx+c=0 are given by x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}.

So, from the given equation, we have,

a = 6, b = -5, c = -21.

Substituting the values in x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}, we get,

x=\frac{5\pm \sqrt{(-5)^{2}-4\times 6\times (-21)}}{2\times 6}

i.e. x=\frac{5\pm \sqrt{25+504}}{12}

i.e. x=\frac{5\pm \sqrt{529}}{12}

i.e. x=\frac{5\pm 23}{12}

i.e. x=\frac{5+23}{12} and i.e. x=\frac{5-23}{12}

i.e. x=\frac{28}{12} and i.e. x=\frac{-18}{12}

i.e. x=\frac{7}{3} and i.e. x=\frac{-3}{2}

Thus, the value for x are \frac{7}{3} and \frac{-3}{2}

Inessa [10]3 years ago
5 0

Answer:

Option C is correct, i.e. x = 7/3, x = -3/2.

Step-by-step explanation:

Given the equation is 6x² -5x + -21 = 0.

Then a = 6, b = -5, c = -21

Using the Quadratic formula, x = ( -b ± √(b² -4ac) )/2a

x = ( +5 ± √((-5)² -4*6*-21) )/2*6

x = ( 5 ± √(25 +504) )/12

x = ( 5 ± √(529) )/12

x = ( 5 ± 23 )/12

x = (5-23)/12 or x = (5+23)/12

x = -18/12 or x = 28/12

x = -3/2 or x = 7/3

Hence, option C is correct, i.e. x = 7/3, x = -3/2.

You might be interested in
Please someone help me with question number 2
Maru [420]

Answer:

75

Step-by-step explanation:

Just make the number of regular gasoline sold to be x, while the number of premium gasoline sold to be (550-x).

That's all.

And goodluck.

3 0
2 years ago
H (x)=3/4x-6. it's number 9 and the function for x is -2,0,3
Reptile [31]
Hi pls see attached file

5 0
3 years ago
What is the unit form for 10 x 3tens
Tems11 [23]

Answer:

3 hundreds

Step-by-step explanation:

10*3*10=300

unit for is 3 hundreds standard form is 300

6 0
3 years ago
Read 2 more answers
What is the volume of this solid figure made with cubes?
Tems11 [23]

Answer: 5

Step-by-step explanation:

hope this help get a A

3 0
2 years ago
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
nekit [7.7K]

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0
2 years ago
Other questions:
  • Give me example of a unit rate used in real life
    12·1 answer
  • 1/5x - 2/3y = 30 , when y = 15
    13·1 answer
  • If
    8·1 answer
  • Plz helpppp I don’t GET THIS
    8·2 answers
  • How to solve 4(a-2)=3(a+4)
    10·1 answer
  • What is 2 2/5 as a decimal?
    12·2 answers
  • Math help please ♡ give points​
    14·1 answer
  • What is 15% of 90? ..............​
    13·2 answers
  • 485 <img src="https://tex.z-dn.net/?f=485%20divided%20by%209" id="TexFormula1" title="485 divided by 9" alt="485 divided by 9" a
    8·2 answers
  • If x/y = -2 find square root of x^2/y^2+y^2/x^2​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!