All Questions ⁺⁰237750 Questions

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+774

Math

Complete the square: x^2 - 10x + 21 + 3x^2 - 2x + 8.

siIviajendeukie Sep 1, 2025

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+774

Math

Complete the square: 3x^2 + 8x + 9 - 4x^2 + 25x + 19

siIviajendeukie Sep 1, 2025

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+774

Math

For parts (a) through (d), let f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.
What is the vertex of the parabola y = f(x)?

siIviajendeukie Sep 1, 2025

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+774

Math

What is the equation of the line of symmetry of the parabola $y = f(x)$.
f(x) = 2x^2 - 13x + 20 - 5x^2 + 19x + 7.

siIviajendeukie Sep 1, 2025

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+230

Math

What are all solutions to the equation x^2 + 3x - 10 = 18x - 15?

HumanBemg Sep 1, 2025

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+230

Math

The solutions to the equation
6x^2 + 10x = -2x^2 - 12x - 17
can be written in the form $x=\frac{P \pm \sqrt Q}{R}$, where $P$ and $R$ are relatively prime integers and $R > 0$.

HumanBemg Sep 1, 2025

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+230

Math

Solve the system of equations
x + y + 2z = 1
-2x - 4y + 2z = 7
10x - 17x + 13z = 8 read more ..

HumanBemg Sep 1, 2025

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+230

Math

Solve the system of equations
5x + 3z = 1
-x + y - z = 0
2x - 3y + 7z = -4

HumanBemg Sep 1, 2025

Aug 31, 2025

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+980

Math

Given that
5a - 7b + 3c = 19
4a + 2b - 8c = 4
7a + 5b + 3c = -11 read more ..

booboo44 Aug 31, 2025

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+980

Math

Find all values of z such that z^4 - 4z^2 + 3 = 5z^2 + 11z^3 - 40.

booboo44 Aug 31, 2025

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+980

Math

Find all values of x satisfying
sqrt(4x - 3) + 40/sqrt(4x - 3) = 12x + 14.

booboo44 Aug 31, 2025

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+1024

Math

What is the domain of the function f(x) = sqrt(6x - 3 + x^2)?

Hi6942O Aug 31, 2025

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+1024

Math

What is the domain of the function f(x) = sqrt(5 - 8x + x^2)?

Hi6942O Aug 31, 2025

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+1024

Math

What is the range of the function f(x) = sqrt(5 - 8x + x^2)?

Hi6942O Aug 31, 2025

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+412

Math

What is the domain of the function g(x) = (6x + 7)(2x - 3)?

Stanry Aug 31, 2025

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+412

Math

What is the range of the function g(x) = (6x + 7)(2x - 3)?

Stanry Aug 31, 2025

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+412

Math

The domain of the function p(x) = x^2 + 8x + 7x^3 is (-infty,infty). What is the range?

Stanry Aug 31, 2025

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+365

Math

The domain of the function q(x) = x^4 + 8x^2 + 7x^3 is (-infty,infty). What is the range?

cwimie Aug 31, 2025

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+365

Math

The domain of the function r(x) = (x^2 + 1)/(1 - x)^2 is (-infty,1) U (1,infty). What is the range?

cwimie Aug 31, 2025

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+128

Math

Let $a$, $b$, $c$, and $n$ be positive integers. If $a + b + c = 19 \cdot 97$ and
a + 3n = b - 2n = \frac{c}{5n},
compute the value of $a$.

coIinqiu Aug 31, 2025

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+128

Math

Let N be a positive integer. The number N has three digits when expressed in base 7. When the number N is expressed in base 18, it has the same three digits, in reverse order. What is N? (Express your answer in decimal read more ..

coIinqiu Aug 31, 2025

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+1297

Math

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

AnswerscorrectIy Aug 31, 2025

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+1297

Math

A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.

AnswerscorrectIy Aug 31, 2025

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+1297

Math

Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.

AnswerscorrectIy Aug 31, 2025

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+898

Math

Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$). If the graphs of $y=f(x)$ and $y=f(x^3)$ are drawn, at how many points do they intersect?

cooIcooIcooI17 Aug 31, 2025

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