Explanation

The value that should be added to the polynomial to make it perfectly divisible by x + 1 is 0.

Explanation

Solution

|x+3|+21=9 

 |x+3|=9-21

 |x+3|= -12

x = -12-3

x=-15

Explanation

To add 3/5 and 1/5, you can follow these steps:

1. Add the numerators (top numbers) together: 3 + 1 = 4.

2. Keep the denominator (bottom number) the same: 5.

Therefore, 3/5 + 1/5 = 4/5.

Explanation

Explanation

To simplify the expression 5x = 3y - 2x - 8y, we can start by combining like terms on the right side of the equation.

Given:

5x = 3y - 2x - 8y

Combining like terms:

5x + 2x = 3y - 8y

Simplifying the expression:

7x = -5y

7x + 5y =0

Explanation

To find the value of 2x + 3y when x = 3 and y = 2, we substitute these values into the expression and perform the calculations.

Given:

x = 3

y = 2

Substituting these values into the expression:

2x + 3y = 2(3) + 3(2)

Simplifying the expression:

2x + 3y = 6 + 6

Calculating the sum:

2x + 3y = 12

Therefore, when x = 3 and y = 2, 2x + 3y equals 12.

Explanation

To find the value of y in the equation 3x+y=2, we can substitute the given value of x into the equation and solve for y.

1. Given value of x: x = 4.

2. Substitute the value of x into the equation: 3(4) + y = 2.

3. Simplify the equation: 12 + y = 2.

4. Solve for y by isolating the variable: y = 2 - 12.

5. Simplify the right side of the equation: y = -10.

Therefore, when the value of x is 4 in the equation 3x+y=2, the value of y is -10.

Explanation

• The number  is a decimal number without repetition, that is, it has infinite decimal places, thus it is irrational.

Explanation

a - b = 3

a2 + b2 = 2

the formula used: (a-b)2 = a2 +b2 -2ab

Calculation:

a - b = 3

squaring both sides 

a2 + b2 - 2ab = 9 

2 - 2ab = 9

2 - 9 - 2ab = 0 

-7/2 = ab

Explanation

subtract 4 from both sides:

a/2 + 4 - 4 = 7/2 - 4

a/2 = 7/2 - 8/2

 Simplify the right side of the equation by subtracting the fractions:

a/2 = (7 - 8)/2

a/2 = -1/2

Multiply both sides of the equation by 2 to eliminate the fraction:

2 * (a/2) = 2 * (-1/2)

a = -1