Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
Answer:
4 ounces per cup
Step-by-step explanation:
To find the unit rate, we take the ounces and divide by cups. We want a 1 in the denominator
3 ounces÷3/4 cup
Copy dot flip
3 ounces * 4/3 per cup
4 ounces per cup
Answer: 31.98 cups
Step-by-step explanation:
- if there's 5.33 cups in 1 pie
then there is x cups in 6 pies.
set up a proportion:
5.33 cups = 1 pie
x cups = 6 pies
<em>cross multiplication.</em>
31.98 = x
therefore there are 31.98 cups of apples in 6 pies.
<span>-4(X+2)-1/2(2X-6)
-4*x + -4*2 - (1/2)*2x -(1/2)*(-6)
-4x - 8 - x + 3
-4x - x - 8 + 3
-4x - x + 3 - 8
-5x - 5
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