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3 years ago

3x^2+12x+12 solve or factor the equation

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

3(x+2) (x+2)

Step-by-step explanation:

Given 3x²+12x+12

We expand the equation

That is,

3x²+6x+6x+12

We add parentheses to factor out

(3x²+6x)+(6x+12)

3x(x+2)+6(x+2) > Taking out the

common factors.

(3x+6) (x+2)

= 3(x+2) (x+2)

sergeinik [125]3 years ago

3 0

Answer:

x = -2 (multiplicity 2).

Step-by-step explanation:

3x^2+12x+12 = 0

3(x^2 + 4x + 4) = 0

3(x + 2)(x + 2) = 0

x = -2 (multiplicity 2).

2 roots - both equal.

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3ab+2 x -a =2c a=2 b=3 c=7 True or False

ollegr [7]

Answer:

Step-by-step explanation:

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2 years ago

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KengaRu [80]

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3 years ago

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

The graph is a transformation of one of the basic functions. Find the equation that defines the function.

SCORPION-xisa [38]

Answer:

f(x) = -logx + 4.

Step-by-step explanation:

y = -log x approaches the point (0, 1) but this approaches (0, 5)

Looks like the graph of - log x + 4.

6 0

3 years ago

Read 2 more answers

Solve angle X to 1 dp

geniusboy [140]

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

$\frac{11}{sinx}$ = $\frac{8}{sin38}$ ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = $\frac{11sin38}{8}$ , then

x = $sin^{-1}$ ( $\frac{11sin38}{8}$ ) ≈ 57.8° ( to 1 dec. place )

7 0

2 years ago