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victus00 [196]
2 years ago
11

X2 - 12x -6=0 Complete the square

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
8 0

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12.  We get -6.

Next, square this result:  (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42   This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

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HELP!! Given f(x)=5x squared and g(x) = x squared + 2x squared - 5x, what is F (x) * g(x)?
TEA [102]
X^2+2x^2-5x

((x^2)+2x^2)-5x

Pull the factors out

3x^2-5x=x(3x-5)

x(3x-5)

x(3x-5)*5x^2

5x(3x-5)*x^2


Final

5x^3*(3x-5)



8 0
2 years ago
Select the correct answer from each drop-down menu.
Elodia [21]

Answer:

The left end approaches to + Infinite being an exponential function, and the right end to 0

Step-by-step explanation:

we have to remember the exponential function, the best way to find the answer is plotting the graph or arranging a table of values.

As you can see in the attached graph the y axis gets closer and closer to 0 as it moves forward in the x axis, and as it moves to the left the y axis starts increasing rapidly.

Also you got to keep in mind the way that functions behave in terms of the sign of its variable. for example the 10 in this equation only makes the curve to get wider, but if you change the sign to minus, the answer would be different.

8 0
3 years ago
3 questions
frutty [35]
1) add 7 to both sides and get -5....so -5 >x
2) add 7 to both sides.....so get b<-5
3) add 17 to both side...so get z>1
6 0
3 years ago
Read 2 more answers
2Y - 1.7 =3.3 <br><br> HELP !!!!!
bogdanovich [222]

Answer:

2.5

Step-by-step explanation:

Simplifying

2y + -1.7 = 3.3

Reorder the terms:

-1.7 + 2y = 3.3

Solving

-1.7 + 2y = 3.3

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '1.7' to each side of the equation.

-1.7 + 1.7 + 2y = 3.3 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0

0.0 + 2y = 3.3 + 1.7

2y = 3.3 + 1.7

Combine like terms: 3.3 + 1.7 = 5

2y = 5

Divide each side by '2'.

y = 2.5

Simplifying

y = 2.5

3 0
3 years ago
Read 2 more answers
Which function is the inverse of g(x)3x-15
Korolek [52]

Answer:

Inverse of g(x)=x+15/3

Step-by-step explanation:

g(x)=3x-15

Let, g(x) be y

y=3x-15

Interchange x and y

x=3y-15

x+15=3y

y=x+15/3

5 0
2 years ago
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