All Questions

283

Which is the best way to solve the equation sqrt(x) = n?

Which is the best way to solve the equation ?
A. Divide both sides of the equation by n.
B. Multiply both sides of the equation by n.
C. Take the square root of both sides of the equation. read more ..

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Guest Feb 2, 2022

315

system

Assuming x, y, and z are positive real numbers satisfying

xy - z = 15
xz - y = 15 read more ..

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Guest Feb 2, 2022

316

What is the solution to the inequality below?

What is the solution to the inequality below?

x2 < 25
read more ..

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Guest Feb 2, 2022

184

Which is the best way to solve the equation sqre(x) = k?

Which is the best way to solve the equation sqre(x) = k?

A. Take the square root of both sides of the equation.
B. Multiply both sides of the equation by k. read more ..

Guest Feb 2, 2022

217

The surface area A of a sphere is a function of its radius r. The formula below describes this relationship.

The surface area A of a sphere is a function of its radius r. The formula below describes this relationship.

A(r) = 4 pi r^2
read more ..

Guest Feb 2, 2022

273

Geometry

In the diagram. angle A is right, E is the midpoint of AB, D is the mipoint of AC, AB = 16 and AC = .

What is the area of AEFGD, where EF and GD are perpendicular to BC?
read more ..

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Guest Feb 2, 2022

231

Algebra

Consider all the points in the plane that solve the equation x^2 + 2y^2 = 16. Find the maximum value of the product x*y^2 on this graph. (This graph is an example of an "ellipse".)

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Guest Feb 2, 2022

320

Sequences

Let a_1, a_2, a_3 be an arithmetic sequence. If a_4/a_2 = 2, find a_5/a_3.

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Guest Feb 2, 2022

348

Number Theory

Given a = 1 (mod 7), b = 2 (mod 7), and c = 6 (mod 7), what is the remainder when a^{81}*b^{91}*c^2 is divided by 7?

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Guest Feb 2, 2022

373

+1632

counting and probability help

How many three-digit whole numbers have at least one 7 or at least one 9 as digits?

No overcounting, so for example, 179 or 197 is counted ONCE and not TWICE.
Thanks!

Coordinates

If the slope-intercept form of the line through (0,5) and perpendicular to the line 3y+7x=4 is y=mx+b, find m⋅b.

Guest Feb 2, 2022

216

Counting problem

I run a book club with n people, not including myself. Every day, for 365 days, I invite $2$ members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having the exact same group of three members over all 365 read more ..

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Guest Feb 2, 2022

195

logarithm

what is
-ln(a-x) + ln(a)?
and what would be the answer if it was
ln(a-x) + ln(a)? read more ..

Guest Feb 2, 2022

272

Polynomial problem

Suppose f(x) is a polynomial of degree 4 or greater such that f(1) = 2, f(2) = 3, and f(3) = -4. Find the remainder when f(x) is divided by (x - 1)(x - 2)(x - 3).

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Guest Feb 2, 2022

255

Function

Given that f(x) = 1/sqrt(x), what is the range of f(x) on the interval (0,inf) ?

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Guest Feb 2, 2022

242

Digit question

In each blank below a single digit is inserted such that the following six three-digit numbers in this order, form an arithmetic sequence:

125, 129, 1_ _, 1_ _, 1_ _, 1_ _
<read more ..

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Guest Feb 2, 2022

200

Algebra

Find all positive integer values of c such that the equation x^2 - 11x + c = 0 only has roots that are real and rational. Express them in decreasing order, separated by commas.

Guest Feb 2, 2022

251

Digit question

Let a, b, c be three (not necessarily distinct) nonzero digits. Given that the positive integer N always divides the sum of six three-digit number abc, acb, bac, bca, cab, cba, what is the maximum possible value of N?

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Guest Feb 2, 2022

341

Vectors problem

Let and be two perpendicular unit vectors.

(a) Find a formula for the magnitude of an arbitrary linear combination of and in terms of and .
read more ..

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Guest Feb 2, 2022

312

Graphs

A and B are constants such that the graphs of xy = B and y = Ax^2 + B intersect at the point (2,8). Write the ordered pair (A,B).

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Guest Feb 2, 2022

306

Solve following equations:

Solve following equations:

1) x2 = 16
2) read more ..

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Guest Feb 2, 2022

387

help

If $888x + 889y = 890$ and $891x + 892y = 893$, what is the value of $x - y$ ?

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Guest Feb 2, 2022

338

HALP MEEE

Solve the following system of equations: \begin{align*} 3x-5y&=-1.5,\\ 7x+2y&=4.7. \end{align*}Express your answer as an ordered pair $(x,y)$ of decimals.

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Guest Feb 2, 2022

291

Geometry

In triangle ABC, the measure of angle A is x degrees, the measure of angle B is 2x degrees and the measure of angle C is 8x degrees. What is the value of x? Express your answer as a decimal to the nearest tenth.

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Guest Feb 2, 2022

301

Digit problem

How many integers between 200 and 300 have the sum of their digits equal to 16?

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Guest Feb 2, 2022

All Questions ⁺⁰235535 Questions

Which is the best way to solve the equation sqrt(x) = n?

system

What is the solution to the inequality below?

Which is the best way to solve the equation sqre(x) = k?

The surface area A of a sphere is a function of its radius r. The formula below describes this relationship.

Geometry

Algebra

Sequences

Number Theory

counting and probability help

Coordinates

Counting problem

logarithm

Polynomial problem

Function

Digit question

Algebra

Digit question

Vectors problem

Graphs

Solve following equations:

help

HALP MEEE

Geometry

Digit problem

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