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3 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

£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time

Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

$z = \frac{y}{3}$ ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

$2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21$

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0

3 years ago

Slope = 2/5; passes through (-3,1)

nydimaria [60]

Presumably we're after the line with that slope through that point. In general the line through $(a,b)$ with slope $m$ is

$y-b = m(x-a)$

Here we have $a=-3, b=1, m=\frac 2 5$

$y - 1 = \frac 2 5 (x--3)$

$y = \frac 2 5 x + \frac 6 5 + 1$

$y = \frac 2 5 x + \frac{11}{5}$

Check: The slope is clearly $\frac 2 5$
so we check

$y = \frac 2 5 (-3) +\frac{11}{5} = \frac 5 5 = 1 \quad\checkmark$

8 0

3 years ago

Find the equation of a line in slope intercept form going through the point (-2, 9) with a slope of -4.

bija089 [108]

Answer

4x+y=11

Step-by-step explanation:

8 0

3 years ago

Add. Write your answer in scientific notation. (8×106)+(7.92×109)

Anettt [7]

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression is given below.

8 × 10⁶ and 7.92 × 10⁹

The addition of both terms 8 × 10⁶ and 7.92 × 10⁹ will be

⇒ 8 × 10⁶ + 7.92 × 10⁹

⇒ 8 × 10⁶ + 7920 × 10⁶

⇒ 7928 × 10⁶

⇒ 7.928 × 10⁹

The sum of the numbers 8 × 10⁶ and 7.92 × 10⁹ in the form of scientific notation will be 7.928 × 10⁹.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

5 0

1 year ago

A spherical balloon has a 22-inch diameter when it's fully inflated. Half of the air is let out but remains sphere-shaped.

UNO [17]

Answer:

8.7 inches rlly hope it helps

Step-by-step explanation:

8 0

3 years ago