You do this by converting to vertex form a(x - b)^2 + c where the axis of symmetry is x = b
the correct function to have a symmetry x = 3 will be the one which includes -6x
which is the last one
x^2 - 6x - 1 = (x - 3)^2 -9-1
the last option is the correct one
Answer:
h=−6, k=−30
Step-by-step explanation:
did on edge
Answer:
The correct answer is Non-representative.
Explanation:
When a non-representative study is conducted. The researchers face or seek random samples in order to make their studies. On the other hand, a representative study is conducted with the purpose of looking for more specific or accurate samples.
Answer:
Step-by-step explanation:
Let a is the width of the window and diameter of the semicircle and let h be height of the rectangular portion of the window
:
Perimeter:
2h + a + .5x*pi = 21
2h + 2.57a = 21
2h = 21 - 2.57a
h = (10.5-1.285a)
:
What would be the window with the greatest area;
Area = semicircle + rectangle
Radius = .5a
A = (.5*pi*(.5a)^2) + h*a
Replace h with (10.5-1.285a
A = (1.57*.25a^2) + x(10.5-1.285a)
A = .3927a^2 - 1.285a^2 + 10.5a
A = -.8923a^2 + 10.5a
Find the max area by finding the axis of symmetry; x = -b/(2a)
a = 5.88 meter is the width with the greatest area
:
Find the max area
A = -.8923(5.88^2) + 10.5(5.88)
A = -.8923(5.88^2) + 10.5(5.88)
A = -30.85 + 61.74
A = 30.89 sq/ft is max area
