Explanation

Let correct answers = x and wrong answers = 34 − x.

Score equation: 2.5x − 1(34 − x) = 67

Therefore: 3.5x − 34 = 67 → 3.5x = 101 → x = 28.857

Since the number of correct answers must be a whole number, the stated score of 67 is impossible.

Last verified on 10-09-2026

Explanation

The equation |-x| = 0 simplifies to x = 0 since the absolute value of any number is zero only when the number itself is zero.

Therefore, the solution set contains only {0}.

Last verified on 05-09-2026

Explanation

Put x = -2 and y = 3 in x³y² + x²y  

x³ = (-2)³ = -8  

x² = (-2)² = 4  

y² = 3² = 9  

So x³y² = -8 x 9 = -72  

And x²y = 4 x 3 = 12  

Now add both: -72 + 12 = -60  

Last verified on 05-09-2026

Explanation

When we divide numbers with same base we subtract the powers. 

First 2^40 / 2^19 gives 2^(40-19) = 2^21. 

Then 2^21 / 2^13 gives 2^(21-13) = 2^8.

Last verified on 04-09-2026

Explanation

Solve: (2x + 3) / (x - 1) = 3

2x + 3 = 3(x - 1)  

2x + 3 = 3x - 3  

3 + 3 = 3x - 2x  

x = 6

Last verified on 04-05-2026