coIinqiu

28 Questions
1 Answers

+1

4

2

+116

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 11.03.2025

+1

4

1

+116

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 11.03.2025

0

6

2

+116

Algebra

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

coIinqiu 11.03.2025

+1

7

0

+116

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 11.03.2025

0

11

0

+116

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 11.03.2025

0

3

1

+116

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 05.03.2025

0

7

1

+116

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 05.03.2025

0

5

1

+116

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 05.03.2025

0

12

1

+116

Algebra

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

coIinqiu 04.03.2025

0

8

1

+116

Algebra

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

coIinqiu 04.03.2025