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265

help numbers

Suppose that x, y, z are positive integers satisfying x <= y <= z, and such that the product of all three numbers is twice their sum plus 8. What is the sum of all possible values of z?

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Guest Jun 30, 2022

348

Pre-calc problem

Calculate As usual, the output of an inverse trig function should be in radians.
Thanks in advance!

Alan ●●●●●●

Turt12345 Jun 30, 2022

305

Coordinates

The graph of x^2 - 2x + y^2 = 24 is a circle. Find the center and radius of this circle.

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Guest Jun 30, 2022

Jun 29, 2022

313

help quadratic

When the expression 3x^2-24x+55-x^2-49 is written in the form a(x+d)^2+e, where a, d, and e are constants, then what is the sum a+d+e?

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Guest Jun 29, 2022

350

+491

Help Please

I cant figure this out

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Elijah Jun 29, 2022

301

Function

The function f satisfies f(x + 1) = 1/x for all $x \ge -1,$ $x\neq 0.$ Find f(2).

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Guest Jun 29, 2022

290

coordinates

A circle is centered at (5,15) and has a radius of sqrt130 units. Point Q = (x,y) is on the circle, has integer coordinates, and the value of the x-coordinate is equal to the value of the y-coordinate. What is the maximum possible value for read more ..

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Guest Jun 29, 2022

301

Algebra

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia but some of the mixture will be drained and replaced with pure water. If a five gallon mixture of sixty percent ammonia is desired, how many quarts read more ..

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Guest Jun 29, 2022

294

Algebra

Given two real numbers p and q such that 1/p + 1/q = 1 and pq = 9, what is p + q?

BuilderBoi ●

Guest Jun 29, 2022

217

Function

The range of the function g(x) = 2/(x^2 + 10) can be written as an interval (a,b]. What is a + b?

Guest Jun 29, 2022

227

Coordinates

Given points P(–2, 7) and Q(4, y) in a coordinate plane, for what value of y is the slope of the line through P and Q equal to -3/2?

Guest Jun 29, 2022

318

completing the square

Complete the square x^2 + 12x + 9
Enter your answer in the form a(x + u)^2 + v, where a, u, and v are replaced by numbers.

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Guest Jun 29, 2022

297

Algebra problem

Let a and b be real numbers such that a + b = -1. Compute a^2 - b^2 + 2a.

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Guest Jun 29, 2022

298

System

One ordered pair (a,b) satisfies the two equations ab^4 = 384 and ab^5 = 4608. What is the value of a in this ordered pair?

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Guest Jun 29, 2022

231

Range

Suppose that f(x) and g(x) are functions on R such that the range of f is [-5,3], and the range of g is [-2,1]. The range of f(x) + g(x) is [a,b]. What is the largest possible value of b?

Guest Jun 29, 2022

316

Domain

What is the sum of all values of y for which the expression (y + 6)/(y^2 - 5) is undefined?

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Guest Jun 29, 2022

225

Graphing question

The graphs of y = 3 - x^2 + x^3 and y = x^3 - 3x + 5 intersect in multiple points. Find the maximum difference between the -coordinates of these intersection points.

Guest Jun 29, 2022

306

Algebra

Let x be a positive number such that 2x^2=4x+9-2x+1. If x can be written in simplified form as (a + sqrt(b))/c such that a, b, and c are positive integers, what is a+b+c?

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Guest Jun 29, 2022

285

Polynomial

If (x + 2)(3x^2 + x + 5) = Ax^2 + Bx^2 + Cx + D, what is the value of A + B - C - D?

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Guest Jun 29, 2022

285

quadratic

The quadratic ax^2+bx+c can be expressed in the form 2(x-4)^2+8. When the quadratic 3ax^2+2bx+c is expressed in the form n(x-h)^2+k, what is h?

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Guest Jun 29, 2022

299

There exist constants $a,$ $h,$ and $k$ such that \[3x^2 + 12x + 4 = a(x - h)^2 + k\]for all real numbers $x.$ Enter the ordered triple $(a,

There exist constants and such that
for all real numbers Enter the ordered triple

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Guest Jun 29, 2022

299

Algebra

Alula has the following quiz scores: 17, 10, 9, 14, 16, 8, 10, and 10. What must the sum of her next three quiz scores be in order to have an overall average of 14?

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Guest Jun 29, 2022

305

need help

How many integers n, 1 <= n <= 4000, are multiples of 16 or 30 or both?

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Guest Jun 29, 2022

315

+42

HELP DUE IN 5 MINS

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Point M (4,4) is the midpoint of AB. If point A has coordinates read more ..

BuilderBoi ●●

itsTim77 Jun 29, 2022

288

+42

HELP

A line segment of length 5 has one endpoint at (1,2) and the other endpoint at (4,b). Find all possible values of b, separated by commas.

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itsTim77 Jun 29, 2022

All Questions ⁺⁰237687 Questions

help numbers

Pre-calc problem

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help quadratic

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coordinates

Algebra

Algebra

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completing the square

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Algebra

Polynomial

quadratic

There exist constants $a,$ $h,$ and $k$ such that \[3x^2 + 12x + 4 = a(x - h)^2 + k\]for all real numbers $x.$ Enter the ordered triple $(a,

Algebra

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