Answer:
The minimum value of y=-6 ----> is not ok. The axis of symmetry is x=3 ----> is ok. case 4) we have. This a vertical parabola open upward (the leading coefficient is positive)---> is ok. The vertex represent a minimum ---> is ok. The vertex is the point (3,3) The minimum value of y=3 ----> is ok. The axis of symmetry is x=3 ----> is ok
Step-by-step explanation:
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
9514 1404 393
Answer:
a) turning point: (-2, -1)
b) roots: (-3, 0), (-1, 0)
Step-by-step explanation:
The turning point is correctly identified as the vertex in the problem picture.
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The roots are the x-intercept points: (-3, 0) and (-1, 0).
Answer:
what do we answer? you did not attach anything at all? pls attatch a picture or screenshot that way we can help.
Answer:
a. 28.
b 20.78.
Step-by-step explanation:
a. f(x) = 0.001(x - 10)(x + 20)(x - 40)
When x = 50
Height = f(40) = 0.001(50-10)(50+20)(50-40)
= 0.001(40*70*10)
= 0.001 * 28,000
= 28 units.
b.
Expanding the function we get
f(x) = 0.001(x - 10)(x^2 - 20x - 800)
f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)
f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8
Finding the derivative
f'(x) = 0.003x^2 - 0.06x - 0.6
This is zero for maxm/minm values:
0.003x^2 - 0.06x - 0.6 = 0
x = 27.32, - 7.32.
The values of the heights corresponding to these values of x are:
0.001(27.32-10)(27.32+20)(27.32-40)
= -10.39. and
0.001(-7.32-10)(-7.32+20)(-7.32-40)
= 10.39.
So the distance between A and B = 10.39 - (-10.39)
= 20.78.