Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
b c d e
Step-by-step explanation:
Answer:
228 hydrogen atoms
Step-by-step explanation:
In a water molecule,
1/3rd is oxygen atoms, and
2/3rd (1 - 1/3 = 2/3) is hydrogen atoms
If there are 114 water molecules,
Total number of atoms would be:
3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)
Out of these, 2/3rd would be hydrogen atoms, so:
There would be 228 hydrogen atoms
There’s an invisible 1 in front of the minus sign and an invisible 1 in front of the variable.
-1(r+4)=-3 —> -1 times 1r = -1r. -1 times 4 = -4
Multiply inside the parentheses.
-1r-4=-3
Now add 4 to both sides.
-1r-4=-3
+4=+4
-1r = 1
Now divide
R= -1
