All Questions ⁺⁰237827 Questions

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187

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geometry

Two perpendicular chords AB and CD intersect at P. If PA = 4, PB = 10, and CD = 13, calculate the length of P to the center of the circle

Guest Oct 25, 2022

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234

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Function

Find the smallest integer x where the expression sqrt (x+8)/(x^2+x+16) is defined.

Guest Oct 25, 2022

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199

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quadratic

a, b, and c are constants such that the quadratic ax^2 + bx + c can be expressed in the form 2(x-4)^2 + 8. When the quadratic 3ax^2 + 2bx + c(for the same values of a, b, and c) is expressed in the form n(x-h)^2 + k, what is h?

Guest Oct 25, 2022

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3

191

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What is the corect answer for 10 - 5 2/3? I am stumped BIG time. can you help me?

What is the corect answer for 10 - 5 2/3? I am stumped BIG time. can you help me?

read more ..

Guest Oct 25, 2022

+4

647

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+53

Hello!

Is it me or did Chpill really leave from web2.0calc ?

arturfetahu Oct 25, 2022

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191

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Quadratic equations

Let r and s be the roots of 3x^2+4x-12=0=2x^2+6x-5. Find r^2 + s^2

Guest Oct 25, 2022

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232

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number theory

In the prime factorization of 12! + 15! + 18! + 21! + 24!, what is the exponent of 3?

Guest Oct 25, 2022

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270

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polynomial

Let a and b real numbers such that x^4+2x^3-4x^2+ax+b = (Q(x))^2 for some polynomial Q(x). What is the value of a + b?

Guest Oct 25, 2022

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305

4

+1634

Tricky factorization problem help!

Given that x, y, and z are variables in the interval [0, 1], what is the maximum value of k = x + y(1 - x) + z(1 - x)(1 - y)?
Please help me find k (also [0, 1] means all real numbers between 0 and 1 inclusive)! Any help appreciated read more ..

proyaop Oct 25, 2022

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218

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algebra

What is the largest value of k such that the equation 6x - x^2 = k has at least one real solution?

Guest Oct 25, 2022

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228

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complex numbers

Let z and w be complex numbers such that |z| = 1, |w| = 7, and |5z + w| = 11. Find |3z + 4w|.

Guest Oct 25, 2022

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227

1

quadratic

Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 - 5x + 3. Compute a^3*b + a*b^3.

Guest Oct 25, 2022

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231

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Inequality

For how many integers x do we have 1/4 < x/5 < 13/2?

Guest Oct 25, 2022

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232

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need help

Let S = 1/2^3 - 1/4^3 + 1/6^3 - 1/8^3 + ...
and
T = 1/1^3 - 1/3^3 + 1/5^3 - 1/7^3 + ...
read more ..

Guest Oct 25, 2022

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187

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Parabolas

The graph of the line y = 3x + a intersects the graph of the parabola y = x^2 + x in two points. If the distance between these points is sqrt(30), what is the value of a? Express your answer as a common fraction.

Guest Oct 25, 2022

Oct 24, 2022

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193

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help quadratic

The polynomial p(x) = x^2 + ax + b has positive integer coefficients a and b. If p(80) is a perfect square and the equation p(x) = 0 has two distinct integer solutions, what is the least possible value of b? read more ..

Guest Oct 24, 2022

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193

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counting

How many different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} contain at least one element in common with each of the sets {2, 4, 6, 8, 10, 12}, {4, 8, 12} and {2, 3, 5, 7, 11}

Guest Oct 24, 2022

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190

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Functions

Let f(x)=3x+2 and g(x)=ax+b, for some constants a and b. If ab=60 and f(g(x))=g(f(x)) for x=0,1,2\ldots 9, find all possible values of a, separated by commas.

Guest Oct 24, 2022

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226

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number theory

Determine the largest possible integer n such that 942! + 120! is divisible by 60^n.

Guest Oct 24, 2022

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201

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algebra

Solve the following system of equations:
3x-5y=-11,
7x+2y=-12+3x.
Express your answer as an ordered pair (x,y). read more ..

Guest Oct 24, 2022

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210

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Searching for the Mean(ing) Task 2

Am I doing this right? I am so confused. (See the parts I didn't fill out)

Task 2: Mean Weights
Suppose you have a large amount of weights that weigh either 3kg or 8kg.
Myra claims that two 3kg weights and three read more ..

Guest Oct 24, 2022

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250

1

help algebra

The Heronian mean H(a, b) is defined as H(a,b) = (a + sqrt(ab) + b)/3. What is the least positive integer b > 4 such that H(4, b) is also a positive integer?

Guest Oct 24, 2022

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266

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Function

If f(x) is a function whose domain is [-25,5] and g(x) = f(x^2), then the domain of g(x) is an interval of what width?

Guest Oct 24, 2022

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