Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Vertex Form: f(x) = a(bx - c)² + d
- Completing the Square: (b/2)²
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 14x + 63
<u>Step 2: Rewrite</u>
- Separate: f(x) = (x² - 14x) + 63
- Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
- Simplify: f(x) = (x - 7)² - 14
We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.
So:
5(x+6)/15 = 30/15 + 3(x-2)/15
(5x+6)/15 - (30/15) - (3x - 6)/15
As you already know the answer, I'm assuming you can do the rest.
Hope this helps!
<h3>A glass of lemonade took 2 1/2 scoops of sugar to make in it. If you wanted to make 3 glasses how many scoops of sugar would you need</h3>
<h3>
</h3>
<h3>First,</h3><h3>Change the fraction to decimal. 2½=2.5</h3><h3 /><h3>Second,</h3><h3>Simply Multiply it by 3! 2.5×3=7.5</h3>
<h3>Therefore, you need 7.5 (7½) scoop of sugar to make 3 glasses of lemonade.</h3>
