All Questions ⁺⁰237827 Questions

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189

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plz help

Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school.
* 62 have blue ribbons, 65 have read more ..

Guest Oct 8, 2022

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195

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precalc

Find the smallest positive -intercepts of the graph of
y = cos (12x) + cos(16x) + cos(20x)
and list them in increasing order.
Submit your answer as a list of x-coordinates from least to greatest.

Guest Oct 8, 2022

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195

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precalc

Calculate
\[ \arccos \sqrt{\cfrac{1-\sqrt{\cfrac{1-\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}.\]
As usual, the output of an inverse trig function should be in radians.

Guest Oct 8, 2022

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189

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Counting question

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color and there must be at least 2 red squares. How many ways are there to color the five squares?

Guest Oct 8, 2022

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187

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Algebra

Let u and v be the solutions to 3x^2 + 5x + 7 = -2x^2 - 7x + 1. Find u/v +v/u.

Guest Oct 8, 2022

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290

2

help

If f is a function satisfying f(x)+xf(1-x) = 1+x^2 for all real x, then f(6) may be written in the form -p/q for relativley prime positive integers p and q. Find p+q.

Guest Oct 8, 2022

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247

1

Question

Let . Then there exists unique real numbers p,q, and r such that find p + q + r.

Guest Oct 8, 2022

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227

1

Counting problem

How many 11 -digit positive integers can be written using only the digits 1,2 and 3 and have exactly three 1’s and exactly two 2's as digits?

Guest Oct 8, 2022

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185

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Algebra

Suppose
(1 - 6x)/(x^3 - x^2 - 21x + 45) = A/(x + 5) + B/(x - 3) + C/(x - 3)^2
where A, B, and C are real constants. What is A?

Guest Oct 8, 2022

Oct 7, 2022

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202

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Algebra

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 41
2a + 3b + 4c + 5d + e = 57
3a + 4b + 5c + d + 2e = 34 read more ..

Guest Oct 7, 2022

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192

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Quadratic Inequality

What is the value of b+c if x^2+bx+c>0 only when x\in (-\infty, -2)\cup(2,\infty)?

Guest Oct 7, 2022

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180

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Polynomials

When a polynomial p(x) is divided by x + 1, the remainder is -5. When p(x) is divided by x + 5, the remainder is -7. Find the remainder when p(x) is divided by (x + 1)(x + 5).

Guest Oct 7, 2022

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245

4

Help, please...

1. In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step one letter in any direction (up, down, left, right, or diagonal). LINK: https://latex.artofproblemsolving.com/1/a/b/1ab54d90fa697bd6fc4f71ee1860e48d88dfc83c.png read more ..

Guest Oct 7, 2022

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230

3

Help, pls!!

We call a number peachy if every digit in the number is either a 3 or next to a 3 For example, the numbers 333, 83, 303 and 3773 are all peachy, but the numbers 32523, 786, and 3999 are not peachy. How read more ..

Guest Oct 7, 2022

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242

0

+180

Pls Help

Write a function of degree 2 that has an average rate of change of -2 on the interval" 1 ≤ x ≤ 3

DumbDude05 Oct 7, 2022

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252

1

help plz

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 7, 2022

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195

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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 7, 2022

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191

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Algebra

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 7, 2022

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188

0

help algebra

Find all real values of x such that
(x^2 + 2x + 5 - x - 4)(3x^2 - x - 4 + 2x + 8) >= 0

Guest Oct 7, 2022

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188

0

Algebra

Consider the two expressions (6x^3 + 9x^2 + 4x + 7 - 17x^2 - 8x + 8)/(2x + 3 - 7x - 11) and 4x^2 - 7 + 1/(2x + 3 - 7x - 11)
a) Show that the two expressions represent equal numbers when x = 10
b) Explain why these two expressions do not represent read more ..

Guest Oct 7, 2022

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199

1

algebra help

Let's take a look at (x + y)^2 (x - y)^2 and (x^2 + y^2)(x^2 - y^2). While Beeker believes that these two expressions are equal for all real numbers x and y Clod believes they are not! Let's get to the bottom of this!
a) Evaluate (x + y)^2 (x - read more ..

Guest Oct 7, 2022

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202

0

Algebra

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 7, 2022

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179

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Algebra

Find all real numbers x such that (3x - 27)^3 + (27x - 3)^3 = (3x + 27x - 30).

Guest Oct 7, 2022

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239

1

I need help

4r to the second power times 5r

Guest Oct 7, 2022

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274

1

Please Help me

2/3+(-5/12)+(-7/15)+(-0.2)

Guest Oct 7, 2022

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