These equations are already in vertex form. So, we can easily find the vertex of each equation.
f(x) = -(x-1)^2 - 2
Vertex: (1,-2)
The vertex in this equation is the maximum because it faces down (a=-1).
g(x) = (x+2)^2 + 1
Vertex: (-2,1)
The vertex in this equation is the minimum because it faces up (a=1).
Answer:
You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .
Step-by-step explanation:
The given data : 3, 6, 9, 11, 15, 16
Total number of data values : n = 6
The mean of data is given by :-

The standard deviation is given by :-

The range of the data : Maximum value -Minimum value

Answer:
30-60-90
Step-by-step explanation:
A 30-60-90 triangle is a right angled triangle
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Answered by Gauthmath
Answer: X =5/2, 15/2 x=2.5, 7.5
Step-by-step explanation: