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Alexeev081 [22]
3 years ago
14

Which of the following is the result of completing the square for x2 + 8x - 6 ?

Mathematics
2 answers:
sergey [27]3 years ago
7 0
X^2+8x-6=0
(x+8/2)^2-(8/2)^2-6=0
(x+4)^2-16-6=0
(x+4)^2-22=0

x+4= ± square root 22

x=-4 + square root 22 or x=-4 - square root 22
=0.6904 =-8.6904
melamori03 [73]3 years ago
5 0
STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x 
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4) 
STEP 4- simplify the equation
x^2-8x+16=10 
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10

 
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Answer:

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Step-by-step explanation:

We have a piesewise function composed of three pieces. two line segments and one point.

The first line cuts at point (0,0) and ends at point (3, -1)

If we use these two points we can find the equation of the line.

The slope m is:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-1 - (0)}{3-0}\\\\m = -\frac{1}{3}

So the equation is:

y = -\frac{1}{3}x + b

As the line cuts in (0,0) then b = 0 and the equation is:

y = -\frac{1}{3}x

The equation of the second line is:

y = -4

Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)

f(x) = -\frac{1}{3}x   if  x;  f(x)=-4   if   x> 3;   f(x)= 7   if   x = 3.

The limit of f(x) when x tends to 3 from the left  \lim_{x\to 3^-} f(x) is the limit of the function  when x approaches 3 from the left. If x approaches 3 from the left then x. If x then f(x) is given by the line y = -\frac{1}{3}x . Then the limit is -1  as seen in the graph

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3 years ago
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sesenic [268]
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5 0
3 years ago
Read 2 more answers
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jeka57 [31]
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Answer:

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Step-by-step explanation:

CollegeBoard

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Answer:

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