All categories

3 years ago

What is the discriminant of 9x^2+2=10x^2

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

Step-by-step explanation:

To find the discriminant, we need to get the equation in standard form

9x^2+2=10x^2

Subtract 10x^2 from each side

9x^2-10x^2+2=10x^2-10x^2

-x^2 +2 =0

This is in the form ax^2+bx +c =0

where a=-1 b=0 and c=2

The discriminant is

b^2 -4ac

0^2 -4*(-1)*2

0+8

The discriminant is 8

You might be interested in

If a box holds 24 cubes what is the total volume of the box?

Ymorist [56]

24 cubes.

Volume is the measure of capacity, as in how much something can hold or contain.

(Please consider marking this answer as Brainliest to help me advance.)

5 0

4 years ago

Exercise 5.2. Suppose that X has moment generating function

soldi70 [24.7K]

Answer:

a) Mean, E(X) = - 0.5

Variance = = 9.25

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

⇒ $=\sum e^{tx}p(x)$

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

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,

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

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

also,

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

Thus,

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

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

Therefore,

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

Mean, E(X) = - 0.5

and

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

$E(X^{2})$ = 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,

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

⇒ $=\sum e^{tx}p(x)$

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

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

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

PLEASE HELP ASAP!!!!!!!!! PLEASE

Elanso [62]

The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent.

The triangles also share one common side, CA. Since, this side is between the angles the postulate that will prove the congruence of the triangles is ASA.

The answer to this item is the third choice.

7 0

3 years ago

If (-1, y) lies on the graph of y = 3^x+1, then y =

anyanavicka [17]

Answer:

y = 4/3

Step-by-step explanation:

y = 3^x+1

Substitute -1 for x.

y = 3^(-1)+1

y = 1/3 + 1

y = 1/3 + 3/3

y = 4/3

5 0

3 years ago

Read 2 more answers

Answer this question:)

Wittaler [7]

Answer:

p=2(l+b)

=42mm

A=l*b

=108mm to the power 2

5 0

3 years ago