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3 years ago

Solve 3x^2=-12-6x by completing the square

Mathematics

1 answer:

Lelu [443]3 years ago

3 0

Answer:

x = - 1 ± i $\sqrt{3}$

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± $\sqrt{-3}$ = ± i $\sqrt{3}$ ( subtract 1 from both sides )

x = - 1 ± i $\sqrt{3}$

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We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the stu

Molodets [167]

Answer:

The correct option is (c).

Step-by-step explanation:

The complete question is:

The data for the student enrollment at a college in Southern California is:

Traditional Accelerated Total

Math-pathway Math-pathway

Female 1244 116 1360

Male 1054 54 1108

Total 2298 170 2468

We want to determine if the probability that a student enrolled in an accelerated math pathway is independent of whether the student is female. Which of the following pairs of probabilities is not a useful comparison?

a. 1360/2468 and 116/170

b. 170/2468 and 116/1360

c. 1360/2468 and 170/2468

Solution:

If two events <em>A</em> and <em>B</em> are independent then:

$P(A|B)=P(A)\\\\\&\\\\P(B|A)=P(B)$

In this case we need to determine whether a student enrolled in an accelerated math pathway is independent of the student being a female.

Consider the following probabilities:

$P (F|A) = \farc{116}{170}\\\\P(A|F)=\frac{116}{1360}\\\\P(A)=\frac{170}{2468}\\\\P(F)=\frac{1360}{2468}$

If the two events are independent then:

P (F|A) = P(F)

P (A|F) = P (A)

But what would not be a valid comparison is:

P (A) = P(F)

Thus, the correct option is (c).

4 0

2 years ago

The width of a rectangle is 9 cm. The perimeter is 40 cm. What is the length of the rectangle?

Keith_Richards [23]

Answer:

Step-by-step explanation:

2(l+w)

40= 2(9+x)

40= 18+2x

Subtract 18 from 40

22=2x

Divide 2x by itself and 22

11=x or x=11

6 0

3 years ago

Read 2 more answers

Guys please help.

ANTONII [103]

Start at (0, 72), then (1, 64), (2, 56), ETC. I hope you see the pattern! Do it until you reach (9, 0)

3 0

2 years ago

Read 2 more answers

Simplify x + 3x – 36.

Katena32 [7]

Hey there!!

Equation Given : x + 3x - 36

In order to solve this, we will need to combine the like terms.

What are like terms?

Like terms are terms which have the same variable, in the equation given, the variable mentioned is x and hence, the like terms are x and 3x.

Now, we will need to combine x and 3x.

Let's take x as 1x and 3x as 3x.

Now, we will need to add both these like terms.

1x + 3x

x will be common, we will need to add 1 and 3

1 + 3 is 4 and hence, 1x + 3x = 4x

Hence, the final equation would be :

4x - 36

Hence, the answer is option ( c )

Hope my answer helps!

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2 years ago

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SCORPION-xisa [38]

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3 years ago

Solve 3x^2=-12-6x by completing the square​

Solve 3x^2=-12-6x by completing the square