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
cupoosta [38]
3 years ago
5

Consider the quadratic function f(x)=x2-5x+6

Mathematics
1 answer:
expeople1 [14]3 years ago
8 0

Answer:

2 and 3

Step-by-step explanation:

To solve the quadratic, factor and set its factors equal to 0. Factoring is the action of breaking up a polynomial into pieces which multiply to make it. The factors are found by multiplying numbers to make C and add to B of ax^2+bx+c.

Here c = 6 and b = -5. The numbers -3 and -2 multiply to 6 and add to -5. These are the factors (x-3)(x-2).

Set each equal to 0 and solve for x.

x-3 = 0

x = 3

x-2 =0

x = 2

You might be interested in
PLEASE HELP<br> 8m+4n+7m-2n<br> 1. 17mn<br> 2. 15m+2n<br> 3. m+2n<br> 4. 15m+6n
cupoosta [38]
It would be the second anser: 15m+2n
3 0
3 years ago
Read 2 more answers
Exercise 5.2. Suppose that X has moment generating function
soldi70 [24.7K]

Answer:

a) Mean, E(X) = - 0.5

Variance = = 9.25

b) M_{X}(t)=E(e^{tX})

or

⇒ =\sum e^{tx}p(x)

⇒ =\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}

Step-by-step explanation:

Given:

moment generating function  of X as:

MX(t) = \frac{1}{2} + \frac{1}{3}e^{-4t} + \frac{1}{6} e^{5t}

a)  Now

Mean, E(X) = M_{X}'(t=0)

Thus,

M_{X}'(t)=\frac{1}{3}(-4)e^{-4t}+\frac{1}{6}(5)e^{5t}

or

M_{X}'(t)=\frac{-4}{3}e^{-4t}+\frac{5}{6}e^{5t}

also,

E(X^{2})=M_{X}''(t=0)

Thus,

M_{X}''(t)=\frac{-4}{3}(-4)e^{-4t}+\frac{5}{6}(5)e^{5t}

or

M_{X}''(t)=\frac{16}{3}e^{-4t}+\frac{25}{6}e^{5t}

Therefore,

Mean, E(X) = M_{X}'(t=0)=\frac{-4}{3}e^{-4(0)}+\frac{5}{6}e^{5(0)}

or

Mean, E(X) = - 0.5

and

E(X^{2})=M_{X}''(t=0)=\frac{16}{3}e^{-4(0)}+\frac{25}{6}e^{5(0)}

or

E(X^{2}) = 9.5

also,

Variance(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

b) Now,

Let f(x) be the PMF of X

Thus,

M_{X}(t)=E(e^{tX})

or

⇒ =\sum e^{tx}p(x)

⇒ =\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}

Therefore,

at x = 0, P(x) = \frac{1}{2}

at x= - 4 ,P(x) = \frac{1}{3}

at x = 5, P(x) = \frac{1}{6}

Thus,

E(X) =\sum xP(x)=0(\frac{1}{2})+(-4)(\frac{1}{3})+5(\frac{1}{6})

or

E(X) = - 0.5

also,E(X^{2})=\sum x^{2}P(x)=0^{2}(\frac{1}{2})+(-4)^{2}(\frac{1}{3})+5^{2}(\frac{1}{6})

E(X^{2})  = 9.5

Hence,

Var(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

4 0
4 years ago
Which expression represent the approximate length of BC HEEEEELLLLPPP!!!
Bumek [7]

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

\frac{sinA}{BC} = \frac{sin38}{AB} , substitute values

\frac{sin66}{BC} = \frac{sin38}{3} ( cross- multiply )

BC sin38° = 3 sin66° ( divide both sides by sin38° )

BC = \frac{3sin66}{sin38} → A

5 0
3 years ago
Which equation could be used to find the length of the hypotenuse?
Komok [63]

Answer:

<h3>(base)² + (altitude)² = (hypotenuse) ²</h3>

Therefore,

2²+5² = c² will be matched.

7 0
3 years ago
What can you do to be sure you sell the most muffins possible
Vinvika [58]
To make sure you sell the most muffins possible, make a lot, make sure they are ready, taste only one, and set it up in a place popular but make sure that you are not trespassing.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A machine can manufacture 24,000 plastic balls in 8 hours. Find the unit rate in balls per hour.
    7·2 answers
  • Solve the equation for the given domain. Graph the solution set. 3x – y = 1 for x = {–1, 0, 1, 3}
    13·1 answer
  • What is five eighths of 84​
    9·2 answers
  • How I slove 34+4?i need step by step
    13·2 answers
  • A pitcher is 1/4 full of juice. A serving of juice is 1/16 of the pitcher. Enter the number of servings of juice that are in the
    14·1 answer
  • A rectangular fish tank has a base that is 9 inches
    14·1 answer
  • 2. The following data set shows the number of points scored by rugby team in season of matches: (5
    15·1 answer
  • Hii!! please help!!
    9·1 answer
  • Can u help me plsssssssss
    13·1 answer
  • Its all on the picture giving brainiest and 100 points its also math
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!