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
elena-14-01-66 [18.8K]
3 years ago
14

Solve for x. 3x^2-6x-2=0

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

Answer:

$x=\frac{3\pm\sqrt{15}}{3}$

Step-by-step explanation:

3x^2-6x-2=0

Using the quadratic formula to solve:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(-2)}}{2(3)}$

$x=\frac{6\pm\sqrt{36+24}}{6}$

$x=\frac{6\pm\sqrt{60}}{6}$

$x=\frac{6\pm2\sqrt{15}}{6}$

$x=\frac{3\pm\sqrt{15}}{3}$

$x\approx{-0.291}, x\approx{2.291}$

ikadub [295]3 years ago
4 0

Answer:

x=-4.5 or x=-2/9(fraction)

Step-by-step explanation:

3x^2-6x-2=0 simplify so add 3 minus 6 then do ^2

-9x-2=0 Add 2 on both sides

-9x=2 divide by -9 on both sides

x=-4.5 or x=-2/9

You might be interested in
Name the value of each 2 in 222,222
marshall27 [118]

200,000

20,000

2,000

200

20

2

Hope I helped!!

4 0
3 years ago
Read 2 more answers
Joe completed 7 pages of homework over 3 hours. Nina completed 5 pages over two hours. Who was completing the work at a faster p
bonufazy [111]

Answer:

Joe

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2. Step 1: (4.3 − 6.7) − 1.2 Step 2: 4.3 − (6.7 + 1.2) Step
Fynjy0 [20]

Answer:

Option (C)

Step-by-step explanation:

This question is incomplete; here is the complete question.

Morris is showing his work in simplifying,

(-6.7 + 4.3) - 1.2

Step 1: (4.3 - 6.7) - 1.2

Step 2: 4.3 - (6.7 + 1.2)

Step 3: 4.3 - 7.9

Step 4: -3.6

Which statement is true ?

A). Step 1, Morris used the commutative property.

B). Step 2, Morris used the distributive property.

C). Step 3, Morris used the associative property.

D). Step 4, Morris's answer is incorrect.

In associative property,

a + (b + c) = (a + b) + c

By this property,

(-6.7 + 4.3) - 1.2

Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2

Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]

Step 3, 4.3 - 7.9

Step 4, -3.6

4 0
4 years ago
How do you do exponents
andrew11 [14]
When you multiply terms with like bases you add the exponents together. The base stays the same. When you divide terms with like bases you subtract the exponent of the denominator from the exponent of the numerator. This is called getting the power of a power.
8 0
3 years ago
The daily production cost, C, for x units is modeled by the equation:<br> C = 200 – 7x + 0.345x2
lina2011 [118]
C(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
8 0
3 years ago
Other questions:
  • Which of the following fraction is larger?<br> 2/5,1/3,1/15
    8·2 answers
  • Find the value of x pls
    14·2 answers
  • What is the discriminant of the polynomial below
    14·1 answer
  • Choose the point slope form of the equation below that represents the line that passes through the points -3, 2 and 2, 1
    11·2 answers
  • How many ways can 8 items be arranged? *
    6·1 answer
  • 50 POINT QUESTION!! A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. W
    10·1 answer
  • Select the correct answer from each drop-down menu.
    6·1 answer
  • PLEASE IM BEGGING ILL GIVE YOU BRAINIEST:
    5·2 answers
  • A parking lot owner sold 20% of the area of his lot to his neighbor. Later that year, he sold 20% of the remainder to another ne
    11·1 answer
  • Helen Ming receives a travel allowance of $180 each week from her company for time away from home. If this allowance is taxable
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!