Answer:
f(x) = 3x² - 6x + 12
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
- Standard Form: f(x) = ax² + bx + c
- Vertex Form: f(x) = a(bx + c)² + d
Step-by-step explanation:
<u>Step 1: Define function</u>
Vertex Form: f(x) = 3(x - 1)² + 9
<u>Step 2: Find Standard Form</u>
- Expand by FOILing: f(x) = 3(x² - 2x + 1) + 9
- Distribute 3: f(x) = 3x² - 6x + 3 + 9
- Combine like terms (constants): f(x) = 3x² - 6x + 12
Answer:
p=2
Step-by-step explanation:
9p-10=6+p
Subtract p from each side
9p-p-10=6+p-p
8p -10 =6
Add 10 to each side
8p -10+10 =6+10
8p =16
Divide each side by 8
8p/8 = 16/8
p =2
Answer:
C. 28.26
May I have brainliest please? :)
It's a quadratic so the parent function will be
We can see that it has been shifted to the right 5 units, which gives us a new function
It has also been shifted up 9 units:
But it has also been flipped across the y-axis which makes this the final change we need to do:
Answer:
Lacrosse = 62 students
Swimming = 62 students
Soccer = 124 students
Football = 186 students
Step-by-step explanation:
Based on the information, we can draw some equations
<em>1.</em> Lacrosse = Swimming
<em>2.</em> Soccer = 2 * Lacrosse
<em>3.</em> Football = 3 * Swimming
<em>4.</em> Football + Soccer + Swimming + Lacrosse = 434
Lets solve for once sport at a time, I will start with Football.
I will put equation 1, 2 and 3 into equation 4
3Sw + 2L + L + L = 434
We can now again put equation 1 into the new equation 4
3L + 2L + L + L = 434
Simplify
7L = 434
L = 434 ÷ 7
L = 62 students
Since L = Sw, 62 students did swimming also
We can put L into equation 2 to solve for So
So = 2 * 62
So = 124 students
And now we can put Sw into equation 3 to solve for F
F = 3 * 62
F = 186 students
