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vodka [1.7K]
3 years ago
8

Solve the Inequality.

Mathematics
2 answers:
Sholpan [36]3 years ago
8 0

16(1/4x-1/2)>24-2x

Use the distributive property on the left side:

4x -8 > 24-2x

Add 2x to each side:

6x -8 > 24

Add 8 to each side:

6x >32

Divide both sides by 6:

x > 32/6 reduces to 16/3

Not sure if there is a typo in any of your answers, but I do not see the correct answer listed.

MA_775_DIABLO [31]3 years ago
8 0

Answer:

x>16\3

Step-by-step explanation:

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What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?
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Answer:

<h2>A) y = -5x - 8</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)

Convert to the slope-intercept form (y = mx + b):

y+3=-5(x+1)          <em>use the distributive property</em>

y+3=-5x-5            <em>subtract 3 from both sides</em>

y=-5x-8

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How to Determine the type of triangle that is drawn below
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Answer:

???

Step-by-step explanation:

theres no triangle

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Answer:

The factor form of given expression is (x-4)(x-2i)(x+2i).

Step-by-step explanation:

The given expression is

x^3-4x^2+4x-16

It can be written as

f(x)=x^3-4x^2+4x-16

According to the rational root theorem, all possible rational roots are in the form of

\frac{a_0}{a_n}

Where, a₀ is constant term and a_n is leading coefficient.

f(4)=4^3-4(4)^2+4(4)-16=0

Since the value of f(x) is 0 at x=4, therefore 4 is a root of the function and (x-4) is a factor of given expression.

Use synthetic method to find the remaining factors.

(x^3-4x^2+4x-16)=(x-4)(x^2+4)

(x^3-4x^2+4x-16)=(x-4)(x^2-(2i)^2)

(x^3-4x^2+4x-16)=(x-4)(x-2i)(x+2i)

Therefore the factor form of given expression is (x-4)(x-2i)(x+2i).

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What is the equation of the line that is parallel to the
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y=1/5x+12/5

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The slope is the same

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