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3 years ago

2x^(2)+12x+8 using completing square

Mathematics

1 answer:

gayaneshka [121]3 years ago

8 0

Answer:

${2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5$

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Write an equation through the points (-3,7) and (1,-1)

Aliun [14]

The slope is -2.

The slope is the rise over the run. Because the line goes down from left to right, it makes the value negative. For every one the it moves to the right, the line goes down two units.

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3 years ago

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Effectus [21]

Answer:

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3 years ago

What is the range of the function f(x) = 3x2 6x – 8?

blsea [12.9K]

The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

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f(x) = 3(x² + 2x + 1) – 11

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Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

brainly.com/question/12208715

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2 years ago

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Charra [1.4K]

Answer:

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2 years ago

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The Correct option is D). y=1x+1 And y=2x+2

Step-by-step explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m= $\frac{(Y2-Y1)}{(X2-X1)}$

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Redline is m= $\frac{(1-0)}{(0-(-1))}$

The slope of Redline is m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m= $\frac{(Y2-Y1)}{(X2-X1)}$

The slope of Blue-line is m= $\frac{(2-0)}{(0-(-1))}$

The slope of Blue-line is m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2

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3 years ago