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
Leona [35]
3 years ago
9

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−2. The y-intercept is y

=−9.6 . Find a formula for P(x) . Keep the answer in factored form.
Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

Step-by-step explanation:

P(x) = a(x - 2)2(x + 4), a ≠ 0

 

Use the given point (0,-10) to find a.

 

-10 = a(0 - 2)2(0 + 5) = a(4)(5) = 20a

a = -10/20 = -1/2

 

P(x) = (-1/2)(x - 2)2(x + 5)

 

You can expand this if you wish

You might be interested in
A club has 12 members. In how many ways can we select four members to go on a trip?
ivanzaharov [21]
This is the number of combinations of 4 from 12

12C4   =        12!
                 ----------
                  4! 8!

=    12*11*10*9             11*5*9  =  495
      --------------     = 
        4*3*2*1
3 0
3 years ago
Please help me ive never done one like this
inessss [21]

Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}

$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}

Do cross multiplication.

$\Rightarrow 16( {6x-9})=14 ({4x+4} )

$\Rightarrow 96x-144=56 x+56

Add 144 on both sides.

$\Rightarrow 96x-144+144=56 x+56+144

$\Rightarrow 96x=56 x+200

Subtract 56x from both sides.

$\Rightarrow 96x-56x=56 x+200-56x

$\Rightarrow 40x=200

Divide by 40 on both sides, we get

$\Rightarrow x=5

The value of x is 5.

5 0
3 years ago
You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 y
boyakko [2]

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

4 0
3 years ago
Joaquin writes the following list of numbers.
swat32

From the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Any number that can be written in the form of p/q, where p and q are integers, and q ≠ 0, are called rational numbers.

All terminating and non-terminating recurring decimals are rational numbers.

All the numbers that cannot be represented in the rational form of p/q are irrational numbers.

All non-terminating non-recurring decimals are irrational.

All square roots of imperfect square numbers, that is, surds, are irrational numbers.

In the question, we are asked to classify the given list of numbers into rational and irrational numbers.

  • 5.737737773...: It is an irrational number, since its a non-terminating non-recurring decimal.
  • 26: It is rational as it can be represented in the p/q form (26/1).
  • √45: It is irrational as it is a square root of an imperfect square number, that is, it is a surd.
  • -3/2: It is rational as it is in the form p/q.
  • 0: It is rational as it can be represented in the p/q form (0/1).
  • 9: It is rational as it can be represented in the p/q form (9/1).

Thus, from the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Learn more about rational and irrational numbers at

brainly.com/question/14994517

#SPJ9

The provided question is incorrect. The correct question is:

Joaquin writes the following list of numbers.

5.737737773..., 26, √45, -3/2, 0, 9.

Which numbers are rational?

Which numbers are irrational?

6 0
2 years ago
What does a trillion look like in numbers?
mixer [17]
100000000
8 zeroes in a trillion
4 0
3 years ago
Other questions:
  • Simplify the following expression.
    9·1 answer
  • Use lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (16, 6, 0).
    13·1 answer
  • What is 7 1⁄5 – 6 2⁄5 = ?
    14·2 answers
  • Please answer really fast.
    10·2 answers
  • Solve the division equation using the number line.
    11·2 answers
  • X - 4 = 9<br> Can someone please help me
    15·2 answers
  • What is the point of intersection of these two lines? -4x + y = 8 2x - y = 4 (2, 0)
    6·1 answer
  • Round 78.932 to the ones,tenths,and hundredths place.​
    6·1 answer
  • What is the answer i need help
    6·1 answer
  • 45/56 divided by (-.15)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!