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Post New Question
All Questions
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234777 Questions
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337
2
+6
Number Theory Help!
Solve the congruence , as a residue modulo 47. (Give an answer between 0 and 46.)
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Allygator0777
Aug 15, 2021
0
209
0
Counting
A committee is to be made up from a group of eight candidates. The committee must consist of at least two people, but at most four people. How many ways can the committee be chosen?
Guest
Aug 15, 2021
0
233
0
help urgent
Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?
Guest
Aug 15, 2021
0
372
1
+31
HALP PLEASE
Find all complex numbers z such that z^4=-4
Note: All solutions should be expressed in the form ab+i, where a and b are real numbers.
read more ..
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soccerfan123
Aug 15, 2021
0
312
1
Quadratic
The quadratic equation 2x^2 + bx + 2 = 0 has a double root. Find all possible values of b.
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Guest
Aug 15, 2021
+1
318
0
+88
Counting paths in a grid?
Given a 3 x 5 grid, where point A is the lower left corner and B is the upper right corner, how many ways can a spider travel on the grid, given that it can travel one unit right, up, or down each move and cannot revisit an edge or vertex?
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grs75
Aug 15, 2021
0
246
1
Inequality
Let a_1, a_2, ..., a_n be real numbers such that a_1 + 2a_2 + ... + na_n = 1. Find the minimum value of a_1^2 + 2a_2^2 + ... + na_n^2.
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Guest
Aug 15, 2021
0
308
1
Inequality
If w, x, y, and z are positive real numbers such that w + 2x + 3y + 4z = 8, then what is the maximum value of wxyz?
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Guest
Aug 15, 2021
0
300
1
help with sequence
If the second, fifth, and ninth terms of a nonconstant arithmetic sequence are in geometric sequence, then what is the common ratio of the geometric sequence.
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Guest
Aug 15, 2021
0
544
1
+45
help
1. Let $a,$ $b,$ $c$ be the roots of $x^3 - x + 4 = 0.$ Compute \[(a^2 - 1)(b^2 - 1)(c^2 - 1).\]
2. The fourth degree polynomial $P(x)$ satisfies $P(1) = 1,$ $P(2) = 2,$ $P(3) = 3,$ $P(4) = 4,$ and $P(5) = 125.$ What is $P(6)?$
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Penguin
Aug 15, 2021
0
181
0
please help
Let t(x) = \sqrt{3x+1} and f(x)=5-t(x). What is t(f(5))?
Guest
Aug 15, 2021
0
225
0
Help counting
Let K be the number of pairs of positive integers (a, b) with 1 <= a, b <= 10. Let L be the number of pairs of positive integers (c, d) with 1 <= c, d <= 10. Let M be the number of pairs of positive integers (e, f) with 1 <= e <= f <=
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Guest
Aug 15, 2021
0
430
2
Probability
The sum of two dice rolls is 6. What is the probability that the number 3 appeared at least once?
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Guest
Aug 15, 2021
0
214
0
help coordinates
A triangle in the coordinate plane is determined by the line y = 1, x + y = 6, and y - 3x + 2 = 0. Find the orthocenter of the triangle.
Guest
Aug 15, 2021
0
362
3
+140
Counting and Probability
How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable but the boxes are not?
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sherwyo
Aug 15, 2021
0
205
0
help coordinates
Find the points of intersection of the line 4x - 3y - 10 = 0 and the circle x^2 + y^2 - 2x + 4y - 20 = 0.
Guest
Aug 15, 2021
0
369
3
Quadratic
Let 7x^2 + 5x = h + 3x^2 - 11x. What value of will h give us exactly one solution for x?
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Guest
Aug 15, 2021
0
211
0
help algebra
Suppose that a is inversely proportional to b. If a = -3 when b = 8, find a when b = 6. Express your answer as a fraction.
Guest
Aug 15, 2021
Aug 14, 2021
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355
1
Algebra
What is the sum of all values of z such that z^2 = 12z - 7 - 12z + 14?
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Guest
Aug 14, 2021
0
337
3
help with triangle
The sides of a triangle are 7, 12, and x. What are all possible values of x?
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Guest
Aug 14, 2021
0
361
1
Polynomials
Suppose that f is a polynomial such that (x -1 ) f(x) = 3x^8 + x^3 - 25x^2 + 38x - 17. What is the degree of f?
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Guest
Aug 14, 2021
0
330
1
help math
How many distinct sums can be obtained by adding three different numbers from the set {3, 6, 9, ... ,27 , 30, 33, 36, 39}?
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Guest
Aug 14, 2021
0
348
1
Polynomials
What is the coefficient of x^3 when 24x^4 + 6x^3 + 4x^2 + 7x - 5 is multiplied by 6x^3 + 3x^2 - 3x + 4 and the like terms are combined?
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Guest
Aug 14, 2021
0
289
1
counting question
At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty students plan to participate in track and cross country; six students in cross country and basketball; and eight students in
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Guest
Aug 14, 2021
+1
480
7
+140
Advanced Conic Sections
A lattice point in the -plane is a point both of whose coordinates are integers (not necessarily positive). How many lattice points lie on the graph of the equation ?
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sherwyo
Aug 14, 2021
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