All Questions ⁺⁰237783 Questions

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295

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Algebra

Find all real numbers a that satisfy
1/(a^3 + 7) = -a^3/(a^3 + 7)

Guest Jun 21, 2022

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288

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word problem

Five times a number is divided by 7 more than that number. If the result is -8, then what was the original number?

Guest Jun 21, 2022

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298

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Equation

Solve for x: (3x + 12)(x + 4) = (4x^2 + 8x + 8x^2)/(2x).

Guest Jun 21, 2022

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297

1

Algebra

An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/3 full. What is the total capacity of the aquarium tank, in gallons?

Guest Jun 21, 2022

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235

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number theory

Let S be the set of all numbers of the form abc(a + b + c) where (a,b,c) is a Pythagorean triple. Find the GCD of all elements of S.

Guest Jun 21, 2022

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333

1

help number theory

How many integers n can be used such that the quantity |2n^2 + 3n + 11 - n^2 + 9n| results in a prime number?

Guest Jun 21, 2022

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204

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Domain

What is the smallest integer value of c such that the function f(x) = (2x^2 + x + 5)/(x^2 + 14x + c) has a domain of all real numbers?

Guest Jun 21, 2022

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267

1

Function

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 21, 2022

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310

2

Parabola

How many y-intercepts does the graph of the parabola x = -y^2 + 4y - 4 - 2y + 7 have?

BuilderBoi ●●

Guest Jun 21, 2022

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323

2

Polynomial

If f is a polynomial of degree 3, such that f(0) = f(2) = f(3) = 1 and f(1) = 0, find f(4).

Guest Jun 21, 2022

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303

1

+100

Help pls

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects BAC and let the perpendicular bisector of AB intersect AD at E If AB=44, AC=30 and ME=10 then find the area of triangle ACE

Wsai12 Jun 21, 2022

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219

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Algebra

Assuming that y neq 1/2, simplify the expression (4y^2 - 1)/(2y - 1).

Guest Jun 21, 2022

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327

1

The line $x = k$ intersects the graph of the parabola $x = -2y^2 - 3y + 5$ at exactly one point. What is $k$?

The line $x = k$ intersects the graph of the parabola $x = -2y^2 - 3y + 5$ at exactly one point. What is $k$?

Guest Jun 21, 2022

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286

1

geometry

Let XY be a tangent to a circle, and let XBA be a secant of the circle, as shown below. If AX = 16 and XY = 9, then what is AB?

read more ..

Guest Jun 21, 2022

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291

1

circle geo

Let AB and CD be chords of a circle, that meet at point Q inside the circle. If AQ = 6, BQ = 15, and CD = 38, then find the minimum length of CQ.

Guest Jun 21, 2022

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241

1

Parabola

Find the vertex of the parabola x = -2y^2 + 12y - 15.

Guest Jun 21, 2022

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302

1

+164

Math

5 balloons = 1/8 of a heart
____ balloons = 1/4 of a heart

RunningManZZ Jun 21, 2022

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308

1

+164

Math

The sum of a number and 1/2 is 1. What is the number?

RunningManZZ Jun 21, 2022

Jun 20, 2022

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203

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help quadratic

Each solution to x^2 + 5x + 8 = x + 1 can be written in the form x = a+bi, where a and b are real numbers. What is a + b^2?

Guest Jun 20, 2022

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268

1

Math

A+B=17 (1)
B+C=16 (2)
(1)-(2)
A+B-B-C = 17-16 read more ..

Guest Jun 20, 2022

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271

1

help plz

Consider the complex numbers in the complex plane below:

For each of the complex numbers
\[s, t, u, v, w, z,\]
figure read more ..

Guest Jun 20, 2022

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312

1

Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 14 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

Guest Jun 20, 2022

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271

1

Math

25% of Aaron's beads is equal to 40% of Bobby's beads. If Bobby has 24 more beads than Aaron, what is the total number of beads Aaron and Bobby have?

Guest Jun 20, 2022

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274

1

Quadratic

Find the values of k for which (k + 4)x^2 + (k + 1)x = -1 has equal roots.

Guest Jun 20, 2022

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