coIinqiu

18 Questions
1 Answers

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Algebra

Fill in the blanks with constants, to make a true equation:
\frac{x^2 - 6x - 3}{x^3 - 4x} = ___/x + ___/(x - 2) + ___/(x + 2)

coIinqiu 13 mar 2025, 15:11

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+75

Algebra

Let (x,y,z) be the real solution to the system of equations
x + y = \sqrt{4z + 3}
y + z = \sqrt{4x - 1}
z + x = \sqrt{4y + 5}
Find x + y + z.

coIinqiu 13 mar 2025, 14:38

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+75

Algebra

Find all x such that
sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.

coIinqiu 13 mar 2025, 13:59

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+75

Algebra

Simplify \frac{6 \sqrt{2]}{\sqrt{2} - \sqrt{3} - \sqrt{5}}

coIinqiu 13 mar 2025, 13:31

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2

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+75

Algebra

Fill in the blanks.
If f(x) is an even function and g(x) is an even function and h(x) is an even function, then f(x) + g(x) + h(x) is an ___ function.
If f(x) is an odd function and g(x) is an odd function and h(x) lee mas ..

coIinqiu 12 mar 2025

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1

+75

Algebra

Find the value of x that maximizes
f(x) = \log (-20x + 16 \sqrt{x} - x).

coIinqiu 12 mar 2025

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+75

Algebra

If 2^{16^x} = 128*4^x, then find 2^x.

coIinqiu 12 mar 2025

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+75

Algebra

Express 2 + sqrt(2) + 1/(2 + sqrt(3)) + 1/(sqrt(5) - 2) in simplest form.

coIinqiu 12 mar 2025

+1

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2

+75

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = sqrt{10 - x} + \sqrt{x + 10}

coIinqiu 11 mar 2025

+1

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+75

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = x^3 - 3x^2 + 10x - 15

coIinqiu 11 mar 2025

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+75

Algebra

Find all real numbers a and b such that
a + b = 14
a^3 + b^3 = 812 + a^2 + b^2

coIinqiu 11 mar 2025

+1

1

0

+75

Algebra

Factor (ab + ac + bc)^3 - a^3 b^3 - a^3 c^3 - b^3 c^3 + (a^2 + b^2 + c^2)^3 - 3(a^3 + b^3 + c^3)^2 as much as possible.

coIinqiu 11 mar 2025

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+75

Algebra

Let P = \log_8 3 and Q = \log_3 5. Express \log_{15} 72 in terms of P and Q. Your answer should no longer include any logarithms.

coIinqiu 11 mar 2025

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1

1

+75

Algebra

Let a_1, a_2, a_3, \dots be an infinite geometric series with positive terms. If a_2 = 10, then find the smallest possible value of
a_1 + a_2 + a_3.

coIinqiu 5 mar 2025

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1

+75

Algebra

Let
a + ar + ar^2 + ar^3 + \dotsb
be an infinite geometric series. The sum of the series is 9. The sum of the cubes of all the terms is 36. Find the common ratio.

coIinqiu 5 mar 2025

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1

+75

Algebra

Let A = x^4 + x^3 + x^2 + x + 1 and B = x^4 - x^3 + x^2 - x + 1. Simplify A + B.

coIinqiu 5 mar 2025

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+75

Algebra

Compute
1.11111 + 0.11111 + 0.01111 + 0.00111 + 0.00011 + 0.00001

coIinqiu 4 mar 2025

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1

+75

Algebra

Simplify (x^4 + x^3 + x^2 + x + 1) + (x^4 - x^3 + x^2 - x + 1).

coIinqiu 4 mar 2025