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:
Step-by-step explanation:
We can write an relationship for this as:
3
:
2
→
24
:
b
Where
b
is the number of burgers sold without cheese.
We can rewrite the relationship as an equation and solve for
b
:
3
2
=
24
b
2
3
=
b
24
24
×
2
3
=
24
×
b
24
48
3
=
24
×
b
24
16
=
b
b
=
16
The restaurant would of sold
16
burgers without cheese with the information provided in the problem.
Answer:
There are 2 cups in a pint is correct
Improper because the top is supposed to be lower than the bottom
If m1 and m2 are the slopes of each line, for them to be perpendicular you gotta solve
m1 * m2 = -1
