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2 years ago

What is the answer? Expand and simplify 6(2x-3)-2(2x+1)

Mathematics

1 answer:

vitfil [10]2 years ago

7 0

Answer:

8x-20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

=8x−20

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Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )

OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))

Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )

Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))

x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x

x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2

6 0

2 years ago

Which expression is equivalent to 8 (9 + x)?

jasenka [17]

Answer:

72 + 8x

you would multiply 8 by 9 + x

5 0

2 years ago

Graph points (- 4, - 1)(4, 3) . Write the equation of the line that passes through the points in slope-intercept form

Reika [66]

Answer:

y = 0.5x + 1

Step-by-step explanation:

4 up, 8 right

rise over run

slope = 4/8 or 1/2

y-int = 1

6 0

2 years ago

Prove that the value of the expression does not depend on the variable x:

Leviafan [203]

Answer:

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

$(x-5)(x+8)-(x+4)(x-1)=\\=x^2-5x+8x-40-x^2-4x+x+4=-36$

Indeed, does not depend on x!

And (b)

$x^4-(x^2-1)(x^2+1)=x^4-x^4+x^2-x^2+1=1$

Again, does not depend on x.

8 0

2 years ago

Graph<img src="https://tex.z-dn.net/?f=fx%3D%20%7Cx%2B1%7C%20%2B2" id="TexFormula1" title="fx= |x+1| +2" alt="fx= |x+1| +2" alig

AURORKA [14]

Answer:

The graph is shown in the following image

Step-by-step explanation:

The parent function of $f(x) = | x + 1 | +2$ is $y = | x |$

The graph of $y = | x |$ is the union of two lines:

$y = x$ for $x\geq0$

$y = -x$ for $x$

The vertex of this graph is in point (0,0)

<em>The graphic is shown in the attached image</em>.

Then, if we do $y = f(x + 1)$ to the parent function we get:

$y = | x + 1 |$

This transformation shifts the graph of $y = |x|$ 1 unit to the left

Then, if we make the transformation $y = f(x) + 2$ to the function $y = | x + 1 |$ we obtain:

$y = | x + 1 | +2$

This transformation displaces the graph of the function $y = | x + 1 |$ 2 units up on the y axis.

So, if the vertex of the main function $y = | x |$ was at point (0,0), the vertex of the function $f(x) = |x + 1| +2$ has its vertex in the point (-1, 2).

<em>The graph is shown in the following image</em>

5 0

3 years ago