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Anastaziya [24]
3 years ago
6

What is vertex of the graph of the function below y=x^2-10x+21

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

(-4,5)

Step-by-step explanation:

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Which equation is the inverse of y = 16x2 + 1?
Llana [10]

Answer:

y=\frac{\sqrt{x-1} }{4}

Step-by-step explanation:

The given equation is

y=16x^2+1

For this function to have an inverse, we must restrict the domain, say x\ge0

We interchange x and y to get,

x=16y^2+1


We now make y the subject to get;


x-1=16y^2


x-1=16y^2

We divide through by 16 to get;


\frac{x-1}{16}=y^2


We now take the square root of both sides to get;

\pm \sqrt{\frac{x-1}{16}}=y


y=\pm \frac{\sqrt{x-1} }{4}


Since  x\ge 0, the inverse function is


y=\frac{\sqrt{x-1} }{4}


6 0
3 years ago
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police
Lyrx [107]

Answer:

Option 3 - 4 miles

Step-by-step explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police  station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station.

i.e. 2x-3

The distance between the library and the police station is 5 miles.

i.e. 2x-3=5

2x=5+3

2x=8

x=4

Therefore, The police and fire stations is 4 miles apart.

So, Option 3 is correct.

3 0
3 years ago
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A demand ___ is a graphic representation of the law of demand
yan [13]

Answer:

I think it is b. Curve

Step-by-step explanation:

7 0
3 years ago
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In the figure, 
Vitek1552 [10]
Angles 1,7 and 2,8 are alternate exterior angle.
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3 years ago
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How to find BE and BH
ohaa [14]

Use the Pythagoras Theorem in the corresponding right angled triangles.

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3 years ago
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