Answer:
x > 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
5x - 7 > 4x + 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: x - 7 > 8
- Add 7 on both sides: x > 15
Here we see that any value <em>x</em> that is greater than 15 would work as a solution to this inequality.
Answer:
The equation can be used to find m, the midpoint of the
two numbers is:
Step-by-step explanation:
Two numbers are 10 units away in different directions from their midpoint, m, on a number line.
Then, we can define the two numbers as:
The product of the numbers is -99. This can be written as:
X^2 + 5x - 5 = 0
This is a quadratic equation that cannot be factored. It can be solved using the quadratic formula or by completing the square.
the quadratic formula is x = (-b +-sqrt(b^2 - 4ac))/2a
a is the coefficient of the x^2, b is the coefficient of the x, and c is the constant.
a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
x = (-5 +- sqrt(45))/2
x = (-5 + - 3 sqt 5))/2
x = (-5 + 3sqrt5)/2 and x = (-5 - 3sqrt5)/2
