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Readme [11.4K]
3 years ago
11

Find the vertex this parabola y = -x^2 - 2x + 6

Mathematics
2 answers:
miskamm [114]3 years ago
7 0
Y=-x^2-2x+6 
To find the vertex I'm going to use the axis of symmetry formula: 
x=-b/2a 
x = 2/-2 
x = -1 
To find the y-value I'm going to plug in the x value in the above equation 
y=-(-1)^2-2(-1)+6 
y = -1+2+6 
y = 7 
The vertex is : 
(-1,7) 

:D :D :D 
Charra [1.4K]3 years ago
4 0
Your answer will be (-1,7)
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Which table represents la linear function?
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I believe it would be the last table.

Step-by-step explanation:

A linear function has an equation of y=Mx+b where y and x are the variables but m (the slope) and b are constants. The slope for the last table is -8 as the y values are decreasing by 8 every time you move forward one in the x axis. None of the other tables have a constant slope which means they don’t have straight lines when you graph them. Therefore, the last table would have to be the only one representing a linear function

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Is negative 2 greater than, less than or equal to 1/2?
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Step-by-step explanation:

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A boulder falls off the top of a cliff during a storm. The cliff is 90 feet high.
andreev551 [17]

Answer:

It will take the boulder approximately 4.28 seconds to hit the road

Step-by-step explanation:

The given height of the cliff from which the boulder falls, h = 90 feet

The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²

Where;

h = The height of the cliff = 90 ft.

u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)

g - The acceleration due to gravity ≈ 9.81 m/s²

t = How long it will take for the boulder to hit the road below

Plugging in the values gives;

90 = 0 × t + (1/2)×9.81×t² = 4.905·t²

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The time it takes the boulder to hit the road, t ≈ 4.28 seconds.

7 0
3 years ago
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
Vinil7 [7]

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

   

Unknown:

Weight at the end of 8months = ?

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 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

7 0
3 years ago
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