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OLEGan [10]
3 years ago
6

Kayla was asked to rewrite the polynomial expression, x^2+6x+9 How could she rewrite the polynomial?

Mathematics
2 answers:
AURORKA [14]3 years ago
3 0

You may use the quadratic formula to look for the solutions x_1,x_2 of this equation, and then factor the polynomial as (x-x_1)(x-x_2)

In this case, though, you can see that the polynomial follows the rule

x^2+2ax+a^2

if a=3

And since we have

x^2+2ax+a^2 = (x+a)^2

You can rewrite the polynomial as

x^2+6x+9=(x+3)^2

Kipish [7]3 years ago
3 0

Answer:

We can write as (x+3)².

Step-by-step explanation:

Given  : x²+6x+9.

To find : How could she rewrite the polynomial.

Solution : We have given that x²+6x+9.

By factoring

x²+3x+3x +9.

Taking common x from first two terms and 3 from last two terms.

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

On grouping

(x+3) (x+3)

(x+3)².

Therefore, We can write as (x+3)².

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Firdavs [7]

Answer:

Emma spend 8 hours in homework in a week and Jared  spends 16 hours in homework in 2 weeks.

Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

\frac{P}{Q}  = k

Here, k : PROPORTIONALITY CONSTANT

Case: 1

5 hour piano practice in 1 week.

So, the piano practice in 2 weeks( 1 x 2) =   2 x  5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

70 words in 60 seconds.

So, the words typed in 210 seconds ( 60 x 3.5) =   70  x  3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

8 hour homework in 1 week.

So, the homework done in 2 weeks( 1 x 2) =   2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence,  PROPORTIONAL.

Case: 4

15 miles  in 78 minutes.

So, the distance covered in 102 minutes (78 x 1.3) =  15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

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Case: 5

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6 0
3 years ago
Read 2 more answers
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

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