Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
4
Step-by-step explanation:
Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.
# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days
8 - 4 = 4
Answer:
0.3333 (the three continues)
Step-by-step explanation:
If you put 1/3 or 1 divided by 3 in the calculator, then it'll show the decimal form of the fraction.
Answer:
(2, -5)
Step-by-step explanation:
x is defined by the first equation as x = -3y – 13. Substitute -3y – 13 for x in the second equation:
2( -3y – 13) + 2y = -6.
Performing the indicated multiplication, we get:
-6y - 26 + 2y = -6
Combining like terms results in:
-4y = 20, so that y = -5
Using the first equation, we find x for y = -5:
x = -3(-5) - 13 = 2
The solution is thus (2, -5) (Answer C)
