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4 years ago

(4w + 9)^2 Multipy polynomials

1 answer:

4 0

Hi there!

To multiply these polynomials, we need to multiply all of its values with each other.

(4w + 9) (4w + 9)
= 4w × 4w + 4w × 9 + 9 × 4w + 9 × 9
= 4w^2 + 36w + 36w + 81

= 4w^2 + 72w + 81

Hope this helps!

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Given that <br> f(n) = n^2 - 4n + 3 <br> & g(n) = 2n - 1<br> find gf(-2)

icang [17]

Answer:

The value of $gf\left(-2\right)$ will be:

$gf\left(-2\right)=29$

Step-by-step explanation:

Given the functions

$f(n) = n^2 - 4n + 3$

$g\left(n\right)\:=\:2n\:-\:1$

$f\left(-2\right)\:=\:\left(-2\right)^2\:-\:4\left(-2\right)\:+\:3$

$=\left(-2\right)^2+4\cdot \:2+3$

$=2^2+4\cdot \:2+3$

$=2^2+8+3$

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$gf\left(-2\right)=29$

3 0

3 years ago

2. A geological study indicates that an exploratory oil well drilled in a particular region should strike oil with probability 0

yKpoI14uk [10]

Answer:

3.07% probability that the third oil strike comes on the fifth well drilled.

Step-by-step explanation:

For each oil drill, there are only two possible outcomes. Either there is a strike, or there is not. The probability that oil is striken in a trial is independent of other trials. So we use the binomial probability distribution to solve this question.

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.

Strike oil with probability 0.20.

This means that $p = 0.2$

Find the probability that the third oil strike comes on the fifth well drilled.

2 strikes on the first four drills(P(X = 2) when n = 4) and strike on the fifth(0.2 probability).

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

$P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536$

0.2*0.1536 = 0.0307

3.07% probability that the third oil strike comes on the fifth well drilled.

8 0

3 years ago