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:
![x=\frac{55}{72}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B55%7D%7B72%7D)
Step-by-step explanation:
![295+39x=350-33x](https://tex.z-dn.net/?f=295%2B39x%3D350-33x)
Subtract 295 from both sides:
![39x=-33x+55](https://tex.z-dn.net/?f=39x%3D-33x%2B55)
Add 33x to both sides:
![72x=55](https://tex.z-dn.net/?f=72x%3D55)
Divide both sides by 72:
![x=\frac{55}{72}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B55%7D%7B72%7D)
You need to solve 5 equations
1. 7x - 2.1 = 14.1
2. 7x - 2.1 = 30.9 and so on
1. 7x - 2.1 = 14.1
7x = 16.2
x = 2.314 so first number in the domain is 2.314
You can calculate the other 4 in the same way
Answer:
$36
Step-by-step explanation:
1.5 × 24 = 36
Hope this helps!
-MoCKEry
Answer:
(2.5*(30/5)+6)*12=252
Step-by-step explanation: