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4 years ago

What is the coefficient of x2 in the expansion of (x + 2)3?

1 answer:

4 0

One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get $x^2+4x+4$ .
Then do $(x^2+4x+4)$ * $(x+2)$
That will be $x^3+6x^2+12x+8$
So the answer is 6

You might be interested in

How is the graph of y=log(x) transformed to produce the graph of y=log(2x)+3

V125BC [204]

Answer:

horizontally compressed by a factor of 2 and translated upward by 3 units.

Step-by-step explanation:

A multiplier of x in a function transformation is effectively a compression factor. That is f(2x) will have half the horizontal extent of f(x) for the same values of x.

Addition of a constant the the value of a function effectively translates the graph upward by that amount. The graph of y = log(2x) +3 has been translated upward 3 units.

The graph of y=log(x) has been horizontally compressed and translated upward to produce the graph of y = log(2x) +3.

6 0

3 years ago

!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10

inysia [295]

Answer:

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

8 0

3 years ago

A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

$x^2+16^2=34^2$

$x^2=34^2-16^2$

$x^2=900\\\\x=30$

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

$x^2+16^2=y^2$

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

$2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}$

We have been given that $\frac{dx}{dt}=5$ , $y=34$ and $x=30$ .

$2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}$

$300=68\cdot \frac{dy}{dt}$

$\frac{dy}{dt}=\frac{300}{68}$

$\frac{dy}{dt}=4.4117647058823529$

$\frac{dy}{dt}\approx 4.41$

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0

4 years ago

An expression equivalent to -4(2k-6)

Aleksandr [31]

Answer:

-8k + 24

Step-by-step explanation:

Is your expression.

6 0

3 years ago

(I need help as soon as i can! :-) Can you find the third angle measure in a triangle, if you know the other 2 angel measure?

belka [17]

Answer: Yes you can using the sum of internal angles in a triangle they add up to 180, so if you add the two given angle measures and them substract the result from 180 you will have the measure of the third angle. Hope this helps. :)

Step-by-step explanation:

5 0

3 years ago