1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natalka [10]
2 years ago
5

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

tercept is y = − 8.4 . Find a formula for P ( x ) . P ( x ) =
Mathematics
1 answer:
lesya [120]2 years ago
4 0

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)

You might be interested in
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64
zmey [24]

Answer:

The number of students who were on each bus

Step-by-step explanation:

  • Notice there are 70 students, and 70 is the sum of the equation
  • We know 6 students weren't on either bus
  • The remaining students must represented by 2b
  • So if 2b is all the students who got on buses b is half that, representing each group of students per bus
7 0
3 years ago
Read 2 more answers
How many non-congruent triangles can you draw with the given properties? a. Sides measuring 7 inches, 8 inches, and 16 inches b.
Leno4ka [110]

Answer:

The answers are;

a. None

b. None

c. Infinite

d. None

e. None

Step-by-step explanation:

The number of non congruent triangles that can be drawn depends on the uniqueness of the triangle

The parameters of a unique triangle are;

Knowing the Side Side Side (SSS)

Knowing the Side Angle Side (SAS)

Knowing the Angle Side Angle (ASA)

Knowing the Angle Angle Side (AAS)

However, knowing only the Side Side Angle it is possible to draw two non-congruent triangles

Therefore, considering each of the triangles gives;

a. Sides 7 inches, 8 in., and 16 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided properties

b. Similarly, the given triangle parameters are 4 in., 4 in., and 6 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided information

c. The parameters of the triangle given here are angles 30°, 60°, and 90° which is of the form Angle Angle Angle, or AAA for which the sides can be scaled to form an infinite number of non-congruent triangles

d. The parameters given are three angles measuring 120° which does not form a triangle as the sum of triangles in a triangle = 180°

Hence the number of non-congruent triangles that can be drawn in this case = 0

e. The parameters given are two angles measuring 45° and one side length of 10 in., hence the parameter is of the forms AAS or ASA hence the triangle is unique and it is not possible to draw two non-congruent triangle with the provided properties.

6 0
3 years ago
Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
lisov135 [29]

Answer:

b= 322.8

Step-by-step explanation:

10.50a + 3.75b = 2071.50

10.50 (82) + 3.75b = 2071.50

861 + 3.75b = 2071.50

-861                -861

3.75b = 1210.5

/3.75     /3.75

b = 322.8

4 0
3 years ago
How to solve this? Please help!
marta [7]
SinA=8/17, so arcsin(8/17) is your angle of A (around 49 degrees). 90-A is your angle for B
7 0
3 years ago
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What
Kitty [74]

We are given : Cost of a gallon of milk = $2.50.

Cost of a cup of yogurt = $1.20.

Total money Monica has = $20.

Number of cups of yogurt Monica can buy = x.

And inequality made is also correct

1.20x + 2.5 ≤ 20.

Now, we need to solve it for x.

Subtracting 2.5 from both sides, we get

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Dividing both sides by 1.20, we get

1.20x/1.20 ≤ 17.5/1.20.

x ≤ 14.5833...

Because it's less than 15, so final answer is : 14 is  greatest number of cups of yogurt Monica can buy.



3 0
3 years ago
Read 2 more answers
Other questions:
  • Divide number 1080 into two parts in a ratio of 4:1
    8·2 answers
  • Pls help me solve this
    8·1 answer
  • Bob purchased and 8 pack of hamburger buns for 2.96 not including tax.what is the cost of 1 bun?
    14·1 answer
  • 1. Find the percent of change when the price of a radio changes from $40.00 to $44.00.
    6·2 answers
  • What is the range of the discrete finite function?
    8·1 answer
  • PLease help tem points
    13·1 answer
  • Question 14 (2 points)<br> Compute: 2(8) + 5(6) =<br> O 12
    8·1 answer
  • In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun
    12·1 answer
  • Two lines, a and b, are parallel. If both of the lines aee rotated 90⁰ in the same direction and then translated to the right by
    14·1 answer
  • Solve for x and y then find the measurement of each angle ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!