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suter [353]
2 years ago
14

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph? (−5,

41) (−5, 56) (−5, 76) (−5, 91)
Mathematics
2 answers:
Umnica [9.8K]2 years ago
8 0
The x-coordinate of the axis os symmetry of a quadratic is the x-coorfinate of its vertex. To find the y-coordinate of the vertex here we would substitute -5 for x in:

f(x) =   - {x}^{2}  - 10x + 16 \\ so \: we \: have \:  \\ f( - 5) =  - ( { - 5)}^{2} - 10( - 5) + 16 \\  =  - 25 + 50 + 16 = 41
The coordinates of the vertex are (-5,41)
Helen [10]2 years ago
8 0

Answer:

The answer is A

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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s/4 = a_at_a^2/2

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s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

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The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

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T_a = \sqrt{48} = 6.93 s

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4 0
2 years ago
The sale price for a bicycle is $315 dollars. The original price was first discounted by 50% and then discounted an additional 1
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<span>Let x = # of rides

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