Answer:
Step-by-step explanation:
Given the quadratic expression x^2-2x-24, to get the values of the variable for which the expression is defined as a real number, we need to factorize the expression first as shown;
= √x^2-2x-24 = 0
= √x^2-6x+4x-24= 0
=√x(x-6)+4(x-6) = 0
=√(x+4)(x-6) =0
square both sides
= (x+4)(x-6) = 0²
(x+4)(x-6) = 0
(x+4) = 0 and (x-6) = 0
x = -4 and x = 6
Hence the interval of notation is at x = -4 and 6
Parallel lines have the same slope.
8. you can buy 7 games along with the player. you will also have $7 left over.
9. the samples will last 8 hours. ( this is the one i'm not sure about just a warning)
Answer:
x = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x - 1 = 7x - 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -1 = 3x - 16
- Add 16 to both sides: 15 = 3x
- Divide 3 on both sides: 5 = x
- Rewrite: x = 5
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(5) - 1 = 7(5) - 16
- Multiply: 20 - 1 = 35 - 16
- Subtract: 19 = 19
Here we see that 19 does indeed equal 19.
∴ x = 5 is a solution to the equation.