All Questions ⁺⁰235690 Questions

0

55

0

+1678

Minimum

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

wiseowl Nov 2, 2023

0

66

0

+1678

sum

Let f(x) = \left \lfloor \frac{2 - 3x}{x + 3} + x^2 \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).

wiseowl Nov 2, 2023

0

62

0

+1678

Floor

Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.

wiseowl Nov 2, 2023

0

39

0

+1678

Function

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

wiseowl Nov 2, 2023

+8

23

3

+180

please help!

A sphere passes through all four vertices of one face of a unit cube, and is tangent to the opposite face of the cube. Find the radius of the sphere.
Points A B and C are on a sphere whose radius is 5. If AB = BC = 6, what is the longest read more ..

itsash Nov 2, 2023

Nov 1, 2023

0

45

1

+817

help me plz

All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than $50$ read more ..

maximum Nov 1, 2023

0

64

0

+817

linear inequality

Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in the form $ax+by>c$ or $ax+by\geq c$ where $a,$ $b,$ and $c$ are integers with no common factor other than $1$.) read more ..

maximum Nov 1, 2023

0

63

0

+817

linear inequality

Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in the form $ax+by>c$ or $ax+by\geq c$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.) read more ..

maximum Nov 1, 2023

0

66

0

+817

graphing inequalities

Select all the points that satisfy y < 2x - 3.
(-8,0)
(1,-5)
(2,-6) read more ..

maximum Nov 1, 2023

0

51

0

+817

need to solve

Solve $\frac{1}{3} t - 5 < 2t + 1 \le 5t + 13 < -8t + 7$ Give your answer as an interval.

maximum Nov 1, 2023

0

61

0

+817

help inequality

Jeri finds a pile of money with at least 200. If she puts 60 of the pile in her left pocket, gives away $\frac25$ of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away 200 of the read more ..

maximum Nov 1, 2023

0

56

0

+817

Inequality problem

My street hockey team plays three games each week. My team lost all $12$ games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to $2$ wins and $13$ losses. Each week after that, my team read more ..

maximum Nov 1, 2023

0

35

1

+817

help algebra

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48a^2 b$ and $a^2 b^5 = 6a^3 b$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

maximum Nov 1, 2023

0

34

1

+817

system

Real numbers $a$ and $b$ satisfy
a + ab^2 = 250ab + ab^3
a - ab^2 = 240ab - 50b^2
Enter all possible values of a, separated by commas.

maximum Nov 1, 2023

0

58

1

+817

help geometry

In traingle ABC, point X is on side BC such that AX=13, BX=10, and CX=6, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

maximum Nov 1, 2023

0

39

1

+817

geometry problem

Let R be the circle centered at (0,0) with radius 10. The lines x=6 and y=4 divide R into four regions R1, R2, R3 , and R4. Let R_i denote the area of region R_i If R1>R2>R3>R4, then find R1 + R2 + R3 + read more ..

maximum Nov 1, 2023

0

32

3

+28

Please help, I don’t know how to do this

A)
In this multi-part problem, we will consider this system of simultaneous equations:
Let , , and . Determine the monic cubic polynomial in terms of a variable whose roots are, , and . Make sure to enter your answer in read more ..

WaterPheonix Nov 1, 2023

Oct 31, 2023

0

21

1

+20

Algebra 1

Autumn buys eggs and apples at the store.
She pays a total of $34.14.
She pays a total of $5.76 for the eggs.
She buys 6 bags of apples that each cost the same amount. read more ..

LM2027 Oct 31, 2023

0

64

0

+1911

help with percent

In a store window, there was a box of berries having a total weight of $200$ kg. The berries were $95\%$ water, by weight. After two days in the sun, the water content of the berries was only $90\%$, by weight. What was the total weight read more ..

tomtom Oct 31, 2023

0

45

0

+1911

algebra

Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $10$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $4$ times as much money as read more ..

tomtom Oct 31, 2023

0

64

0

+1911

system

The system of equations
\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 1, \quad \frac{yz}{y + z} = 5
has exactly one solution. What is $z$ in this solution?

tomtom Oct 31, 2023

0

59

0

+1911

percent question

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is $50\%$ magical syrup by volume (and the rest is just water), and blue potion, read more ..

tomtom Oct 31, 2023

0

47

1

+68

help :3

In square ABCD, P is on BC such that BP=4 and PC=1, and Q is on CD such that DQ=4 and QC=1. Find sin of angle PAQ.

LearningCat Oct 31, 2023

-1

46

0

+1443

solutions

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 <= 20
in nonnegative integers, where x_3 is even and x_4 >= 11.

blackpanther Oct 31, 2023

-1

63

0

+1443

help plz

In how many ways can you distribute 8 indistinguishable balls among 15 distinguishable boxes, if at least three of the boxes must be empty?

blackpanther Oct 31, 2023

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