The domain of F(x) is the set of all numbers greater than or equal to 0 and

Expand the following using either the Binomial Theorem You must show

n200080 [17]

<h2><u><em>Answer:</em></u></h2><h2><em>A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64 </em></h2><h2><em></em></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><em>Before even trying to put this into the binomial form, we must figure out the coefficients. If we go by the Pascal's Triangles way we should end up with: </em></h2><h2><em> </em></h2><h2><em> 1 </em></h2><h2><em> </em></h2><h2><em> 1 1 </em></h2><h2><em> </em></h2><h2><em> 1 2 1 </em></h2><h2><em> </em></h2><h2><em>1 3 3 1 </em></h2><h2><em> </em></h2><h2><em>Going by the last level (which is the third level) we get 3C0:1, 3C1:3, 3C2:3, 3C3:1. </em></h2><h2><em> </em></h2><h2><em>Now with the equation: (a+b)^3 = 3C0a^3 + 3C1a^2 b + 3C2a b^2 + 3C3b^3 we just plug in all the values and simplify </em></h2><h2><em> </em></h2><h2><em>(2x+4)^3 = 2x^3 + 3(2x)^2 (4) + 3(2x) (4)^2 + (4)^3 </em></h2><h2><em> </em></h2><h2><em>(2x+4)^3 = 8x^3 + (3)(4x^2)(4) + (3)(2x)(16) + 64 </em></h2><h2><em> </em></h2><h2><em>Then we finally end with: (2x+4)^3 = 8x^3 48x^2 + 96x +64 </em></h2>

4 0

3 years ago

Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all

Dmitriy789 [7]

Answer:

$tan(-\theta)=-tan\theta$

Odd function

Step-by-step explanation:

We are given that

$tan(-\theta)$

We have to determine the value of $tan(-\theta)$ and find tangent function is odd,even or neither.

$tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}$

$tan\theta=\frac{sin\theta}{cos\theta}$

We know that

$sin(-\theta)=-sin\theta$

$cos(-\theta)=cos\theta$

By using identities

Then, we get

$tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta$

$tan(-\theta)=-tan\theta$

Odd function: If $f(-x)=-f(x)$

Even function:If $f(-x)=f(x)$

$tan(-\theta)=-tan\theta$

Therefore, function is an odd function.

7 0

3 years ago

Select the representation that does not change the location of the given point. (4, 110°)

miss Akunina [59]

Answer:

(4,470°)

Step-by-step explanation:

The representation that does not change the location of (4, 110°) in polar coordinates are all points that are coterminal with the given point.

The only point among the given options that is coterminal with (4, 110°) is (4, 470)°

The two points have the same magnitude and 470°-360°=110°.

Since 110° is coterminal with 470° and the two points have the same magnitude with the same sign, the two points represent the same location in polar coordinates.

The correct choice is (4,470°)

3 0

3 years ago

Find the value of "x" in the figure shown.

nasty-shy [4]

X is equal to 62 because it has to equal to 180

7 0

3 years ago

Read 2 more answers

Please could you help me with this. 132 people took a driving test. 80 people predicted they would pass. 64 people

GenaCL600 [577]

You have to do 64 x 3 and that equals 192 the answer is 192 if that was what you was asking! Respond if not!

3 0

2 years ago