All Questions ⁺⁰237807 Questions

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equation in standard form x^+y^ - 10y = -13

equation in standard form x^+y^ - 10y = -13

Guest Jun 21, 2021

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410

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help algebra

Find the largest integer k such that the equation 5x^2 - kx + 88 = 0 has no real solutions.

Guest Jun 21, 2021

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482

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Algebraic Identities

Let a and b with a > b > 0 be real numbers satisfying a^3 + b^3 = a + b. Find $\frac{(a + b)^2 - 1}{ab}$ .

Guest Jun 21, 2021

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489

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Number Theory question

When N is divided by 10, the remainder is a. When N is divided by 11, the remainder is b. What is N modulo 110, in terms of a and b?

Guest Jun 21, 2021

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484

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+106

Help!

If x is a real number, what is the maximum possible value of the expression -x^2 + 8t -4?

QuestionableBean Jun 21, 2021

Jun 20, 2021

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474

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0 divided by 0

Guest Jun 20, 2021

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442

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help math problem

The product of all digits of positive integer M is 105. How many such Ms are there with four digits?

Guest Jun 20, 2021

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437

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geometry

Two sides of a parallelogram are 30 and 20. One diagonal has a length of 40. What is the length of the other diagonal?

Guest Jun 20, 2021

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440

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Polynomial

There is a unique polynomial P(x) of degree 4 with rational coefficients and leading coefficient 1 which has sqrt(2) + sqrt(15) as a root. What is P(1)?

Guest Jun 20, 2021

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292

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Algebra

Find all the values of a for which the equations

x^2 + ax + 1 = 0
x^2 - x - a = 2 read more ..

Guest Jun 20, 2021

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288

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help plz

A unit fractionis a fraction of the form 1/n for some nonzero integer n. Compute the number of ways we can write 1/16 as the sum of two distinct positive unit fractions. (The order of the fractions in the sum does not matter, so 1/2+1/3 would be considered read more ..

Guest Jun 20, 2021

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423

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math problem

2k is a perfect square, 3k is a perfect cube, and 5k is a perfect 4th power. What is the sum of the exponents in the prime factorization of the smallest such positive integer k ?

Guest Jun 20, 2021

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415

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counting problem

Two boys and three girls are going to sit around a table with 5 different chairs. If the two boys want to sit next to Jill, in how many possible ways can they be seated?

Guest Jun 20, 2021

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453

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Complex Numbers

Suppose that a and b are positive integers such that (a-bi)^2 = 8 - 6i + 13 - 4i. What is a-bi?

Guest Jun 20, 2021

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430

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Help pls

How many four digit numbers are divisible by all of the following: 2, 3, 5, 7, and 19?

Guest Jun 20, 2021

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432

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how to solve

If g(x) = (x + 3)/4, for what value of x will g(2x) = 2(g(x)) ? Express your answer in simplest form.

Guest Jun 20, 2021

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441

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number theory

Find the sum of the positive square free divisors of 54000.
Note: A natural number is square free if it is not the multiple of any perfect square greater than 1.

Guest Jun 20, 2021

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502

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3d geometry

Rectangle ABCD is the base of pyramid PABCD. If AB = 8, BC = 4, $PA \perp AD$, $PA \perp AB$, and PB = 19, then what is the volume of PABCD?

Guest Jun 20, 2021

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480

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+179

Functional Equations

Let be the set of nonzero real numbers. Let be a function such that

(i)
read more ..

EnchantedLava68 Jun 20, 2021

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523

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number theory problem

Compute the sum of all positive integers k for which the number k*1984*2 has exactly 21 positive divisors.

Guest Jun 20, 2021

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457

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Coordinates

Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 6y = 18.

Guest Jun 20, 2021

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574

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+876

Hints on Algebra?

Given: $x_n = (x_{n - 1})^2 + x_{n - 1}$ for $x \geq 2,$ and $x_1 = \frac{1}{2}.$

Problem: Prove that $(\frac{1- x_1}{x_1})(\frac{1- x_2}{x_2}) \cdots (\frac{1- x_{n-1}}{x_{n-1}}) < 2$ for all $x \geq 1.$

MathProblemSolver101 Jun 20, 2021

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432

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polygon

The interior angles of a convex polygon are in arithmetic progression. The smallest angle is 120 degrees and the common difference is 5 degrees. Find the number of sides of the polygon.

Guest Jun 20, 2021

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474

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Help with function

For real numbers x, let
f(x) = x + 2 if x > 3,
f(x) = 2x^2 + 3x + a if x <= 3.
read more ..

Guest Jun 20, 2021

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466

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+4

solve

Kage789 Jun 20, 2021

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