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3 years ago

Factor the polynomial x2 + 18x + 81 as the product of two binomials

Mathematics

1 answer:

hram777 [196]3 years ago

3 0

Answer:

$(x+9)^2$

Step-by-step explanation:

We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.

A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).

So what two numbers when :

A. Multiplied make 81

B. Added make 18

This would be 9.

Now that we have the answer, we can put it into binomials.

(x + 9)(x + 9)

Since these are the same, we can combine it and make it into one.

$(x+9)^2$

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Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria

TiliK225 [7]

GIVEN

The following values are given:

$\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}$

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

$z=\frac{x-\mu}{\sigma}$

For x = 9:

$\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}$

For x = 14:

$\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}$

The probability can be calculated as follows:

$P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671$

The probability is 0.4671.

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1 year ago

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Katyanochek1 [597]

Answer:

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Step-by-step explanation:

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3 years ago

What are polynomials?

Ira Lisetskai [31]

Answer: Polynomials are algebraic expressions that include real numbers and variables.

Step-by-step explanation:

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3 years ago

How many solutions does -3x+15=3(5-x) have

S_A_V [24]

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

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Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

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3 years ago

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Answer:

PR Method

Step-by-step explanation:

q^2=p^2+r^2-2

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2 years ago