All Questions ⁺⁰231355 Questions

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Web2.0calc, what does the score mean?

I'm kinda new to this website, but I noticed one thing.
Next to CPhill or any username's name, I see this box with a number in it, and there's a heart next to that.
For example, CPhill has this 128485.
My read more ..

NotThatSmart Apr 29, 2024

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2

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+941

Algebra

For certain values of k and m, the system
3a + 2b = 2
a + 2b = k - 8a - mb
has infinitely many solutions (a,b). What are k and m? read more ..

ABJeIIy Apr 29, 2024

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4

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+941

Algebra

Simplify the expression
\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} - \sqrt{18} + \frac{1}{\sqrt{18}} - \sqrt{9}

ABJeIIy Apr 29, 2024

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3

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+941

Algebra

Compute (1 + i)/(2 - i)(3 + i).

ABJeIIy Apr 29, 2024

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+941

Algebra

The function $f(x)$ is defined only on domain $[-1,2]$, and is defined on this domain by the formula
$$f(x) = 2x^2-8x+1.$$
What is the range of $f(x)$? Express your answer as an interval or as a union of intervals.

ABJeIIy Apr 29, 2024

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+941

Algebra

Let
$$f(x) = \frac{1}{1+\frac{2}{1+\frac 3x}}.$$
There are three real numbers $x$ that are not in the domain of $f(x)$. What is the sum of those three numbers?

ABJeIIy Apr 29, 2024

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3

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+941

Algebra

Find the domain of the function $$f(x) = \frac{\sqrt{x}}{\sqrt{x^2}}.$$ Express your answer as an interval or as a union of intervals.

ABJeIIy Apr 29, 2024

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+941

Algebra

Let $f(x) = 3x - 8 + 4x^2$ and $g(x) = 15x + c - 3x^2$. Find $c$ if $(f \circ g)(x) = (g \circ f)(x)$ for all $x$.

ABJeIIy Apr 29, 2024

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+941

Algebra

Suppose $a(x) = 2x + 5 - 3x^2 + x^3$ and $b(x) = 4 - x^2 + 4x^4$. Find $(a\circ b)(3) - (b\circ a)(3).$

ABJeIIy Apr 29, 2024

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3

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+941

Algebra

Let x and y be real numbers. If x and y satisfy x^2+y^2=4x+16y+15, then find the largest possible value of x. Give your answer in exact form using radicals, simplified as far as possible.

ABJeIIy Apr 29, 2024

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+1612

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

bader Apr 29, 2024

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+1612

help counting

Joanna has six beads that she wants to assemble into a bracelet. Four of the beads have the same color, and the other two all have different colors. In how many different ways can Joanna assemble her bracelet? (Two bracelets are considered identical read more ..

bader Apr 29, 2024

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+1612

help counting

Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $2$ steps, how many different points could Franklin end up at?

bader Apr 29, 2024

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+941

Algebra

Let
f(x) = \sqrt{x}
Find the largest three-digit value of $x$ such that $f(x)$ is an integer.

ABJeIIy Apr 29, 2024

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+941

Algebra

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a+2b+3c+4d+5e=47
2a+3b+4c+5d=15
3a+4b+5c=34 read more ..

ABJeIIy Apr 29, 2024

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+941

Algebra

For a certain value of $k$, the system
x + y + 3z &= 10, \\
6x + 4y + z &= 18 - 5y - x, \\
kx + 7z &= 8 - 14y
has no solutions. What is this value of $k$?

ABJeIIy Apr 29, 2024

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+941

Algebra

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far read more ..

ABJeIIy Apr 29, 2024

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+941

Algebra

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $4$ days earlier. If the job needs to be completed $20$ days earlier, how many additional workers should be hired?

ABJeIIy Apr 29, 2024

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3

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+941

Algebra

Find the largest value of x for which
x^2 + y^2 = 4x + 5y
has a solution, if x and y are real.

ABJeIIy Apr 29, 2024

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4

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+218

Algebra

Let Find the largest three-digit value of such that is an integer.

ABJelly Apr 29, 2024

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+218

Algebra

ABJelly Apr 29, 2024

+1

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+218

Algebra

Let be a sequence. If for all and then find

ABJelly Apr 29, 2024

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+218

Algebra

Find the ordered quintuplet $(a,b,c,d,e)$ that satisfies the system of equations

ABJelly Apr 29, 2024

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+218

Algebra

Find the value of

ABJelly Apr 29, 2024

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+218

Algebra

Compute the sum

ABJelly Apr 29, 2024

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