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Dima020 [189]
3 years ago
13

Factor the trinomial below.9x^2+12x+4

Mathematics
2 answers:
Travka [436]3 years ago
7 0

Answer:

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

Step-by-step explanation:

9x²+12x+4         Find two numbers that multiply to 9 and to other numbers that add to 4.

This numbers would be 3 and 2.

Since the 9 has an x², the 3 must be put with the x. Also the 2 must be positive because of all of the numbers being positive.

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

If this answer is correct, please make me Brainliest!

stich3 [128]3 years ago
6 0

Answer:

9x^2+12x+4 = (3x+2)(3x+2)

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One half of the sum of 7 and k
igomit [66]
The answer could be (7+k)÷2
4 0
3 years ago
A sphere has a diameter of 14 ft. What is its surface​ area? The surface area of the sphere is ft squared. ​(Type an exact answe
-BARSIC- [3]

Answer:

The Formula is 4 x Pi x Radius Squared . surface area of sphere = 4 x pi x radius x radius where "x" indicates multiplication and pi = approximately 3.141592654 4 * pi * r^2

Step-by-step explanation:

4 0
3 years ago
For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

E(Z) = Mpq

Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

And as we can see then we can conclude that   Z \sim Bin (M, pq)

8 0
3 years ago
What does x=??? hurry!!
elena-s [515]

Answer:

17 degrees.

There is a right angle and we know that is 90 degrees. 73 degrees has a vertical angle which is 73 degrees. The opposite vertical angle adds up to another angle which gives you 90. Subtract 73 from 90 and you get 17.

4 0
3 years ago
Please double check for me :)<br><br> Did I select the correct boxes?
geniusboy [140]

Hi there, Queen Tima! I hope you're having a great day today!!

You selected the correct boxes!

If I helped out please consider helping me out back by giving me brainliest! Thank you :DD

-Austin <3

5 0
3 years ago
Read 2 more answers
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