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3 years ago

Expand and simplify (x+2)(x+4)(x+6)

Mathematics

1 answer:

Deffense [45]3 years ago

5 0

Answer:

Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).

(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8

Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:

(x^² + 6x + 8) (x + 4)

= x^³ + 4x^² + 6x^² + 24x + 8x + 32

Collect the like terms together to give you:

x^³ + 10x^² + 32x + 32

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95 is described as what

jonny [76]

0.95 is rational number

answer is option 2

a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction
</span>
so 0.95 = 95/100

hope that helps

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3 years ago

Solve the following system of equations for X..

guajiro [1.7K]

Answer:

x = 3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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4 years ago

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A fair eight-sided die with the sides numbered 1 to 8 is rolled twice.

ryzh [129]

A - rolling an odd prime number followed by an even prime number

B - two numbers are consecutive numbers in ascending order

$|\Omega|=8^2=64\\\\ |A|=\underbrace{3}_{\text{3,5,7}}\cdot\underbrace{1}_{\text{2}}=3\\ |B|=\underbrace{7}_{\text{(1,2),(2,3),\ldots(7,8)}}\\\\\\ P(A)=\dfrac{3}{64}\approx5\%\\ P(B)=\dfrac{7}{64}\approx11\%$

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4 years ago

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four di

ivanzaharov [21]

The number of ways for which she could pick four colours if green must be one of them is; 10 ways.

<h3>How many ways can she picks four colours if green must be there?</h3>

It follows from the task that there are 6 colours in total that she could pick from.

Hence, since she needs four colours with green being one of them, it follows that she only has 3 colours to pick from 5.

Hence, the numbers of possible combinations is; 5C3 = 10 ways.

Read more on combinations;

brainly.com/question/2280043

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2 years ago

A square has a perimeter of 8 cm. What is its area?

serious [3.7K]

A square has four sides which all have the same length.

So if we call the length of each side of the square 'a'

The sum of length of all the sides (the perimeter) will be ,

a + a + a + a = 4a

Now let's equal this to the perimeter to find the length of each side 'a'

$4a\quad =\quad 8\\ \\ a\quad =\quad \frac { 8 }{ 4 } \\ \\ a\quad =\quad 2$

So the length of each side of the square is 2 cm

To find area of a square we multiply the length of its two sides

So,

$a\cdot a$ is the area of the square,

$a\cdot a=\quad 2\cdot 2\quad =\quad 4\\ \\ 4\quad c{ m }^{ 2 }$

The answer :

$\boxed { 4\quad c{ m }^{ 2 } }$

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4 years ago

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