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Elena L [17]
3 years ago
8

Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.

Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

See attachment

Step-by-step explanation:

We want to graph the system

2x+y=8

-x+2y=6

Let us rewrite the lines in slope intercept form:

y=-2x+8

y=\frac{1}{2}x+3

The first line has a slope of -2 and a y-intercept of 8

The second line has a slope of 1/2 and a y-intercept of 3

We can no graph the lines as shown in the attachment.

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What is the completely factored form of f(x)=x3+5x2+4x−6?
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f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
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What is the solution if the inequality shown below? a+2<-10​
daser333 [38]

Answer:

a < -12

Step-by-step explanation:

Isolate the variable, a. Treat the < as a equal sign, what you do to one side, you do to the other. Subtract 2 from both sides:

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a + 2 (-2) < -10 (-2)

Simplify:

a < -10 - 2

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a < -12 is your answer.

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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