Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11 <-- The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88 <-- The profit the restaurant makes per egg is 88 cents.
Hope this helps.
Answer: 2 1/4
Step-by-step explanation:
Answer:
4 x 5
Step-by-step explanation:
Answer:
2x -6
Step-by-step explanation:
2x is slope
-6 is y intercept
The function passes though -6
a slope of 2 means the function goes up 2 and over 1 unit for every 1 x unit
