All Questions

420

+677

Merry Christmas everyone!

I wish you all a Merry Christmas and a Happy New Year!

off-topic

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Straight Dec 24, 2021

480

+11

Let $a$ and $b$ be the solutions of the equation $2x^2-10x+5=0$. What is the value of $(2a-3)(4b-6)$?

Let $a$ and $b$ be the solutions of the equation $2x^2-10x+5=0$. What is the value of $(2a-3)(4b-6)$?

Please halp me im dum read more ..

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oTechz Dec 24, 2021

215

Number Theory

As n ranges over the positive integers, what is the sum of all possible values of the greatest common divisor of 3n + 4 and n + 16?

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Guest Dec 24, 2021

213

coordinates

The length of the segment between the points (2a, a - 4) and (4,-7) is sqrt(18) units. What is the product of all possible values for a?

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Guest Dec 24, 2021

237

help

The radius of a circle is x+6 and its diameter is 3x+5 . What is the circumference of the circle, in terms of π? (Do not include the variable in your answer.)

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Guest Dec 24, 2021

195

Plz help

What is the sum of all positive integer solutions less than or equal to to the congruence ?

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Guest Dec 24, 2021

343

+72

Area under projectile's curve

Here is a problem from lecture notes:
Projectile is fired with initial velocity v from the ground, at an angle of theta. Its trajectory is parameterized:
x = vt cos theta
y = vt sin theta - 1/2 gt^2 read more ..

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jsaddern Dec 24, 2021

228

HI! Plz solv da queestion

Wat is 2^23? Is et 98234958723495?

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Guest Dec 24, 2021

302

Graphing

Let y = f(x) be the function defined on -1 <= x <= 1 by the formula
This is a graph of y = f(x):

read more ..

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Guest Dec 24, 2021

201

Algebra

What is the sum of all values of y for which the expression (y + 6)/(y^2 - 3y - 2) is undefined?

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Guest Dec 24, 2021

209

Proportion

The value of y varies inversely as x and when x=25, y=15. What is x when y=3?

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Guest Dec 24, 2021

212

Quadratic

What is minimum positive value of p so that the quadratic polynomial
\[\dfrac34 x^2 - (2p+2)x + p^2 +2 = 0\]
has real roots?

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Guest Dec 24, 2021

291

Logarithm HELP! THX!!

How do you express (log 24)^2 - (log 12)^2 - (log 8)^2 + (log 4)^2 in the form A(log B)(log C), where A, B, C are prime numbers? By the way, this is a problem from AoPS alcumus.

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Guest Dec 24, 2021

Dec 23, 2021

346

+483

Please Help

A polynomial product of the form
where the are positive integers, has the surprising property that if we multiply it out and discard all terms involving to a power larger than 32, what is left is just Determine
You read more ..

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abcdefghijklmnopqrst Dec 23, 2021

329

Proportion

Suppose c and d are inversely proportional. If c=9 when d=8, find the value of d when c=8.

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Guest Dec 23, 2021

207

Math problem

Find the number of positive integers n such that 4 < sqrt(n) < 100

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Guest Dec 23, 2021

216

Functions

If P(x) = 4 + 2*sqrt(x + 2) and G(x) = 4 + 8x, then what is the largest constant a such that P(G(a)) is defined?

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Guest Dec 23, 2021

224

HELP ASAP

Let be the set of real numbers. Let be a function such that for all real numbers and
Let
Determine the number of possible values of

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Guest Dec 23, 2021

208

Inverse Functions

Suppose that is f a function and f^{-1} is the inverse of f. If f(3) = 4, f(5) = 1, and f(2) = 5, evaluate $f(5) + f^{-1}(4)$.

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Guest Dec 23, 2021

198

Inverse Functions

Suppose that $g(x) = f^{-1}(x)$. If g(-15) = 0, g(0) = 4, g(3) = 9, and g(9) = 3, what is f(f(9))?

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Guest Dec 23, 2021

328

help me pls I don't understand

What is the ratio of the numerical value of the area, in square units, of an equilateral triangle of side length 4 units to the numerical value of its perimeter, in units? Express your answer as a common fraction in simplest radical form.

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Guest Dec 23, 2021

381

+874

Recursion

There is a function that is defined the following

What is

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MathProblemSolver101 Dec 23, 2021

218

Probability

A box contains tiles, numbered 1, 2, 3,..., 49, 50. Only tiles which are marked with a number congruent to 2 mod 8 are blue. One tile is chosen randomly from the box. What is the probability that the tile is blue?

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Guest Dec 23, 2021

389

Altitudes and of acute triangle ABC intersect at point H. If and , then what is in degrees?

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Guest Dec 23, 2021

379

+874

Simple Algebra + Counting

A function is defined as the product of its positive digits. For example,
We let . Find

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MathProblemSolver101 Dec 23, 2021

All Questions ⁺⁰230706 Questions

Merry Christmas everyone!

Let $a$ and $b$ be the solutions of the equation $2x^2-10x+5=0$. What is the value of $(2a-3)(4b-6)$?

Number Theory

coordinates

help

Plz help

Area under projectile's curve

HI! Plz solv da queestion

Graphing

Algebra

Proportion

Quadratic

Logarithm HELP! THX!!

Please Help

Proportion

Math problem

Functions

HELP ASAP

Inverse Functions

Inverse Functions

help me pls I don't understand

Recursion

Probability

Altitudes and of acute triangle ABC intersect at point H. If and , then what is in degrees?

Simple Algebra + Counting

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