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Elena-2011 [213]
4 years ago
13

Using the completing-the-square method, rewrite f(x) = x2 − 6x + 2 in vertex form.

Mathematics
1 answer:
Irina18 [472]4 years ago
8 0

Answer:

f(x)=(x-3)^2-7

Step-by-step explanation:

Vertex form: f(x) = a(x-h)^2+k

x^2-6x+9+2=f(x)+9

(x-3)^2+2=f(x)+9

f(x)=(x-3)^2-7



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If you help ill give you some of my banana milk...
snow_tiger [21]

Given:

The function is:

f(x)=4x^2-25x-21

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

f(x)=4x^2-25x-21

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

3 0
3 years ago
Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?
VladimirAG [237]
First, we start off with the nth term formula for an arithmetic sequence, which is 
a_{n} =a_{1}+(n-1)d

plug in the sequence numbers where they belong

a_{n}=5+(n-1)*(-4)

a_{n}=5+(-4n+4)
a_{n}=5-4n+4
a_{n}=-4n+9

And this is the final answer
-4n+9
4 0
3 years ago
299,792,458 rounded to the greatest place value
andrew11 [14]

Answer:

300,000,000

Step-by-step explanation:

299,792,458

2 rounded to 9 is the answer

4 0
3 years ago
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The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If
alex41 [277]

Answer:

B) w\approx3.12 pounds

Step-by-step explanation:

w=0.9\sqrt{E}

w=0.9\sqrt{12}

w\approx3.12

6 0
2 years ago
In order to select new board members, the French club held an election. 50% of the 52 members of the club voted. How many member
kiruha [24]

Answer:

26 Members Voted

Step-by-step explanation:

50 % is 50/100

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3 0
3 years ago
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