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VMariaS [17]
2 years ago
15

Determine the axis of symmetry and the vertex of the given function. y = 2x2 - 12x + 21

Mathematics
1 answer:
mestny [16]2 years ago
4 0

Answer:

the vertex is ( 3 , 3)

Symetric axis‘s equation: x = 3

Step-by-step explanation:

Let‘s name the function ” f ”

f(x) = y = 2x² - 12x + 21

the vertex has coordinates of ( -b/2a , f(-b/2a) )

-b/2a = 12/2(2) = 12/4 = 3

f(-b/2a) = f(3) = 2(3)² - 12(3) + 21 = 3

then the vertex is ( 3 , 3)

the symetric axis has the equation :

x = -b/2a

then

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Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is
dimulka [17.4K]

Answer:

  • 3/8 in/ft
  • 1/32 . . . (pure number, no units)

Step-by-step explanation:

The ratio can be expressed directly as ...

... (6 in)/(16 ft) = 3/8 in/ft

This can be read or used in different ways:

  • 3/8 in = 1 ft
  • 3 in = 8 ft

Or, the units can be made compatible and the ratio expressed as a pure number.

... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32

This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.

4 0
3 years ago
If you double a number and add 1 you get 11 what is the number
Anna35 [415]

Answer:

Should be 5, hopes this helps

Step-by-step explanation:

That's it.

7 0
3 years ago
A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
r-ruslan [8.4K]
The bicyclist starts at the camp and travels 12 km/h. So in t hours, the bicyclist travels 12t km.  The remaining distance (from the bicyclist to the station) is 60 - 12t, the whole distance, 60 km minus the distance the bicyclist has traveled.

s=60-12t

Now you can answer questions such as "how far was the bicyclist from the station after 3 hours?"  Substitute 3 for t.  s = 60 - 12(3) = 60 - 36 = 24 km.

8 0
3 years ago
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A mechanic bought bolts of three sizes. The smallest bolts cost 15 cents each. The next largest sized bolts cost 20 cents each,
erica [24]
He spent the same amount on each bolt size...so we need to find the lowest common multiple of 0.15, 0.20, and 0.30....and that would be 0.60

so he spent 0.60 on each bolt
3 0
3 years ago
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