All Questions ⁺⁰237784 Questions

0

46

0

+381

Algebra

Let A, B, and C be constants so that
\frac{1}{x^3-2x^2-5x+9}=\frac{A}{x+5}+\frac{B}{x-3} + \frac{C}{(x - 3)^2}
holds for all real numbers $x$ other than $-5$ and $3.$ What is $A$?

cwimie Jan 11, 2025

0

40

0

+381

Algebra

The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.

cwimie Jan 11, 2025

0

7

1

+4

How to Get Free CoD: Black Ops 6 Bot Lobbies: Everything You Need to Know

How to Get Free CoD: Black Ops 6 Bot Lobbies: Everything You Need to Know
The Call of Duty franchise has been a fan favorite for years, offering action-packed multiplayer modes that have kept players coming back for more. Black Ops 6 (or CoD: BO6), read more ..

Myramillan Jan 11, 2025

Jan 10, 2025

0

30

1

+381

Algebra

Let $x$ and $y$ be real numbers such that $x^2 + y^2 = 4x + 12y.$ Find the largest possible value of $x + y.$ Give your answer in exact form using radicals, simplified as far as possible.

cwimie Jan 10, 2025

0

52

0

+381

Algebra

For an integer n, the inequality
x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x. Find the number of different possible values of n.

cwimie Jan 10, 2025

Jan 9, 2025

0

36

0

+84

Algebra

Let
f(x) = \sqrt[3]{x + \sqrt[3]{x}}
Find the largest three-digit value of x such that f(x) is an integer.

hemiiI8675 Jan 9, 2025

0

45

0

+84

Counting

There is a group of five children, where two of the children are twins. In how many ways can I distribute $8$ identical pieces of candy to the children, if the twins must get at least one piece of candy each?

hemiiI8675 Jan 9, 2025

0

27

2

+84

Counting

In how many ways can you distribute $8$ indistinguishable balls among $2$ distinguishable boxes, if at least one of the boxes must be empty?

hemiiI8675 Jan 9, 2025

0

41

0

+84

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

hemiiI8675 Jan 9, 2025

Jan 8, 2025

0

40

0

+823

Geometry

In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure read more ..

crimefightingvigiI Jan 8, 2025

0

30

1

+823

Geometry

In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.

crimefightingvigiI Jan 8, 2025

0

33

1

+84

Algebra

Let a be a real number such that a - \frac{1}{a} = 1. Compute a^3.

hemiiI8675 Jan 8, 2025

0

40

1

+84

Algebra

Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + 2}}

hemiiI8675 Jan 8, 2025

2 Online Users