I need help with a question

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 2 and a root of multiplicity 1 at x = − 3 . The y -in

lesya [120]

Answer:

P ( x ) = -0.7 (x - 2)²(x + 3)

Step-by-step explanation:

<u>We are given</u> :

P ( x ) , has a root of multiplicity 2 at x = 2

and a root of multiplicity 1 at x = − 3

Then

P ( x ) = a (x - 2)²(x + 3) ; where ‘a’ is a real number.

P ( x ) = a (x - 2)²(x + 3)

= a (x² - 4x + 4)(x + 3)

= a [x³ - 4x² + 4x + 3x² - 12x + 12]

P (0) = -8.4

⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4

⇔ 12 a = -8.4

⇔ a = (-8,4) ÷ 12

⇔ a = -0,7

<u>Conclusion</u> :

P ( x ) = -0.7 (x - 2)²(x + 3)

4 0

2 years ago

Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la

sattari [20]

Answer:

C

Step-by-step explanation:

4x-5+x=180. Add 5 to both sides

5x=185. Divide by 6

X=37

180-37=143

143

4 0

3 years ago

Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has

zlopas [31]

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

7 0

3 years ago

Which equals 23 kilograms?

Harlamova29_29 [7]

Answer:

C

Step-by-step explanation:

To convert kilograms into grams, you need to multiply the number you are converting by 1000.

I hope my answer helpe! :)

4 0

3 years ago

Hey hey hey. help pls

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.

Hence, NOT PROPORTIONAL.

Case: 5

18 miles in 45 minutes.

So, the distance covered in 55 minutes (45 x 1.2) = 18 x 1.2 = 21.6 miles

But here, it is given to be 22 miles in 55 minutes.

Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a week and Jared spends 16 hours in homework in 2 weeks.

6 0

3 years ago

Read 2 more answers