All Questions ⁺⁰235551 Questions

0

22

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+2653

Counting

Find the number of ways that Magnus can give out $12$ identical stickers to $2$ of his friends. (Not everyone has to get a sticker.)

LiIIiam0216 Apr 15, 2024

0

17

0

+830

Algebra

What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates read more ..

magenta Apr 15, 2024

0

18

0

+830

Algebra

Let $a$ and $b$ be real numbers, where $a < b$, and let $A = (a,a^2)$ and $B = (b,b^2)$. The line $\overline{AB}$ (meaning the unique line that contains the point $A$ and the point $B$) has slope $2$. Find $a + b$.

magenta Apr 15, 2024

0

25

0

+830

Algebra

Find all points (x,y) that are 5 units away from the point (2,7) and that lie on the line x + y = 13.

magenta Apr 15, 2024

0

20

0

+830

Algebra

Assume that f(3) = 4. Name a point that must be on the graph of y= (5 + f(2x/3))/11$.

magenta Apr 15, 2024

0

23

0

+1525

Counting

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, so that at least one square is yellow, and at least one square read more ..

parmen Apr 15, 2024

0

24

0

+1525

Counting

In the Olympic women's skating competition, the gold medal goes to first place, silver to second, and bronze to third. If there are 19 skaters, including 2 Americans and 5 Canadians, in how many ways can the medals be awarded to three of the 19 skaters read more ..

parmen Apr 15, 2024

0

28

0

+1525

Probability

A stick is broken at two points, chosen at random. If the length of the stick is 6 units, then what is the probability that all three resulting pieces are shorter than 2 units?

parmen Apr 15, 2024

0

27

0

+1525

Counting

A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile read more ..

parmen Apr 15, 2024

0

31

0

+1525

Counting

In how many ways can $4$ balls be placed in $8$ boxes if neither the balls nor the boxes are distinguishable?

parmen Apr 15, 2024

0

32

0

+1525

Counting

a) A baking club wants to form an executive committee. There are 12 people in the baking club, including Mark. In how many ways can the baking club form an executive committee with 2 people?
b) A baking club wants to form read more ..

parmen Apr 15, 2024

+1

11

1

+280

Geometric Series

Evaluate the infinite geometric series
Express your answer as a fraction with integer numerator and denominator.

ABJelly Apr 15, 2024

+1

24

1

+280

Geometric Series

What is the tenth term in the geometric sequence 9, 3, 1, 1/3,...?

ABJelly Apr 15, 2024

+4

14

2

+58

Find the area of triangle ABC if AB = 6, BC=8, and angle ABC = 135 degrees.

Find the area of triangle ABC if AB = 6, BC=8, and angle ABC = 135 degrees.

Starry Apr 15, 2024

0

19

0

+2653

Algebra

The line $y = mx$ bisects the angle between the two lines shown below. Find $m$.
The two lines are y = x and y = 2x.

LiIIiam0216 Apr 15, 2024

0

31

0

+2653

Algebra

Let $x$ and $y$ be real numbers. If $x$ and $y$ satisfy
x^2 + y^2 = 4x + 2y
then find the largest possible value of $x.$ Give your answer in exact form using radicals, simplified as far as possible.

LiIIiam0216 Apr 15, 2024

0

20

0

+2653

Coordinates

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The circle is x^2 + y^2 = 20.
The line is y = -4.

LiIIiam0216 Apr 15, 2024

0

25

1

+595

Algebra

The function $f(x)$ is defined only on domain $[-1,2]$, and is defined on this domain by the formula
$$f(x) = 2x^2-8x+1.$$
What is the range of $f(x)$? Express your answer as an interval or as a union of intervals.

siIviajendeukie Apr 15, 2024

0

15

1

+595

Algebra

Let
$$f(x) = \frac{1}{1+\frac{2}{1+\frac 3x}}.$$
There are three real numbers $x$ that are not in the domain of $f(x)$. What is the sum of those three numbers?

siIviajendeukie Apr 15, 2024

0

9

1

+595

Algebra

If $f(x)$ is a function whose domain is $[-8,8]$, and $g(x)=f\left((x^2 - 2)/(x + 1)\right)$, then the domain of $g(x)$ is an interval of what width?

siIviajendeukie Apr 15, 2024

+4

26

2

+58

Geometry

In triangle ABC, point D is on side AC such that line segment BD bisects angle ABC. If angle A = 30 degrees, angle C = 90 degrees, and AC = 12, then find the area of triangle ABD.
I've been trying and still can't read more ..

Starry Apr 15, 2024

0

24

0

+595

Algebra

Find the sum of all real numbers $x$ that are not in the domain of the function $$f(x) = \frac{1}{x^2+7} + \frac{1}{x^3 - x^4} + \frac{1}{x^2 - 3x + 2}.$$

siIviajendeukie Apr 15, 2024

0

31

0

+595

Algebra

Find the number of real numbers that are not in the domain of the function $$f(x) = \frac{1}{x} + \frac{1}{x^2} + \frac{1}{x^3}.$$

siIviajendeukie Apr 15, 2024

0

22

0

+595

Algebra

Find the smallest real number $x$ in the domain of the function $$f(x) = \sqrt{(x-3)^2-(x+3)^2}.$$

siIviajendeukie Apr 15, 2024

0

14

1

+12

Geometry

Please try to solve these
1.

2.
<#> 3.<#> read more ..

wendigo Apr 15, 2024

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