Explanation

Given the equation:

78.36 = 78.36xy

Dividing both sides by 78.36:

1 = xy

The only option that satisfies xy = 1 is:

x = 1 and y = 1

Since 1 × 1 = 1.

The answer is x = 1 and y = 1.

Explanation

A monoid is a set with an associative binary operation and an identity element.

A group is a monoid where every element has an inverse.

Explanation

The standard form of a quadratic equation is ax^2 + bx + c = 0.

It represents a quadratic polynomial set equal to zero, where a, b, and c are constants.

Explanation

Explanation

• The formula 5*n!/(n-2) can be expanded as:
• 5 * (n * (n-1) * (n-2) * ... ) / (n-2)
• The (n-2) terms cancel out, leaving: 5 * n * (n-1)
  

Explanation

The point with coordinates (-5, 0) lies on the X-axis. 

It is not in any of the quadrants since its y-coordinate is 0, placing it directly on the horizontal axis.

Explanation

One root = 2  

Equation: 2x² + ax + 6 = 0

Using factor theorem, substitute x = 2:

2(2)² + a(2) + 6 = 0  

⇒ 8 + 2a + 6 = 0  

⇒ 2a + 14 = 0  

⇒ 2a = -14  

⇒ a = -7

Explanation

If log3x = 4, then:

3^4 = x

81 = x

So, the value of x is 81.

Explanation

Explanation

(1) Solve for x in the first equation.

7x + 4 = -19 + 5x

(2)Subtract 5x from both sides

7x - 5x + 4 = -19 + 5x - 5x

2x + 4 = -19

(3) Subtract 4 from both sides

2x + 4 - 4 = -19 - 4

2x = -23

(4) Divide both sides by 2.

2x/2 = -23/2

x = -23/2

(5) Replace x with -23/2 in the second equation.

2x - 14

2(-23/2) - 14

-23 - 14

-37