All Questions ⁺⁰237827 Questions

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183

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system

Solve each of the following systems of equations. Find all solutions.

(a) x + y = -1
3x = 4- 3y + 5x - 2 read more ..

Guest Oct 30, 2022

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282

2

Drive distence

If driven at 80km/h for 2.4 day how long will travel

Guest Oct 30, 2022

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243

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need help

If A, b, and c are the roots of the equation 2x^3-6x^2-15x-3=0, then find a^2 + b^2 + c^2.

Guest Oct 30, 2022

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181

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polynomials

Let a, b, c be the roots of the equation 2x^3+4x^2-5x-3=0. Build a cubic equation which has roots a^2, b^2, c^2.

Guest Oct 30, 2022

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274

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Algebra

What real value of t produces the smallest value of the quadratic t^2 -9t - 36 + t^2 - t + 24?

Guest Oct 30, 2022

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196

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inequality

Let a be the smallest integer satisfying the inequality x^2 - 15 < 2x + 7x - 40, and let b be the largest integer satisfying the same inequality. What is b-a?

Guest Oct 30, 2022

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191

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help quadratic

If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 3t^2 - 11?

Guest Oct 30, 2022

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247

1

help needed

For a real number r, let s(r) denote the set of real numbers that can be expressed in the form
a1 r + a2 r^2 + a3 r^3 + ...
with an infinite number of terms, where ai in {0,1}
(a) Show that 1/2 an element in S(1/4)
(b) Show that 1/5 read more ..

Guest Oct 30, 2022

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238

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system

If the system of equations
3x + y = a
2x + 5y = 2a
has a solution (x,y) when x = -2, compute a read more ..

Guest Oct 30, 2022

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226

1

I really need help

Find f(t) such that x=f(t), y=4t-3 is the same as the graph of 2x+3y=5

Guest Oct 30, 2022

Oct 29, 2022

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239

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help

I want to be able to buy a car with cash in 3 years. I have $10,000 that I can invest today. I can get a bond earning 2%. How much will I have for the purchase?

Guest Oct 29, 2022

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223

2

help algebra

The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 - y^2 + 9y - 11 at exactly one point. What is k?

Guest Oct 29, 2022

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231

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geometry

In triangle ABC, CA = 4sqrt2, CB = 4sqrt3, and angle A = 45 degrees. What is B in degrees?

Guest Oct 29, 2022

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236

2

plz help

There are two distinct solutions x to the equation 18 + 5x^2 = 30x. If each solution is rounded to the nearest integer, and then these two integers are multiplied together, what is the result?

Guest Oct 29, 2022

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224

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need help with algebra

Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.

Guest Oct 29, 2022

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184

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help quadratic

Let c be a real number, and consider the system of quadratic equations
y = 6x^2 - 9x + c - x^2 - x
y = 5x^2 - 3x + x^2 + 2x

For which values of c does this system have:
(a) Exactly one real solution (x,y)
(b) More than read more ..

Guest Oct 29, 2022

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229

1

Algebra

Let a and b be real numbers such that a + b = 4 and a^4 + b^4 = 16.
(a) Find all possible values of ab
(b) Find all possible values of a + b
(c) Find all possible values of a and b

Guest Oct 29, 2022

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187

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need help quick

Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 - 14x + 1. Compute a^3 + b^3.

Guest Oct 29, 2022

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198

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help plz

Let a and b be the roots of the quadratic x^2 - 5x + 3 = 2x^2 - 11x + 14. Find the quadratic whose roots are a^2 and b^2.

Guest Oct 29, 2022

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201

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i need help

In November's Math Meet, the Little Monsters of Beast Academy solved 1/3 of the problems. In March's Math Meet, they solved 2/7 of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters read more ..

Guest Oct 29, 2022

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196

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counting problem

In the array below, in how many different ways can we start with the letter A and move from letter to letter (horizontally, vertically, or diagonally), to spell the word "ARCH"?

A
RRR read more ..

Guest Oct 29, 2022

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204

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Inequality

My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team read more ..

Guest Oct 29, 2022

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236

1

Algebra

Jeri finds a pile of money with at least $200. If she puts $80 of the pile in her left pocket, gives away 1/5 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away $200 of the read more ..

Guest Oct 29, 2022

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229

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Triangles

In triangle ABC, point M is the midpoint of segment AB Let D be the point on segment BC such that segment AD bisects angle BAC, and let the perpendicular bisector of segment AB intersect segment AD at point E. If AB = 45, AC = 25, and read more ..

Guest Oct 29, 2022

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220

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triangle geo

In triangle ABC let the angle bisectors be segment BY and CZ . Given AB = 8, AY = 5, and CY = 3, find BZ,

Guest Oct 29, 2022

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