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2 years ago

1. f(x) = x(x-6)(x+3)

Mathematics

1 answer:

maks197457 [2]2 years ago

5 0

Answer:

x3squared-3x2squared-18x

Step-by-step explanation:

1 Expand by distributing terms.

({x}^{2}-6x)(x+3)(x

−6x)(x+3)

2 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.

{x}^{3}+3{x}^{2}-6{x}^{2}-18xx

+3x

−6x

−18x

3 Collect like terms.

{x}^{3}+(3{x}^{2}-6{x}^{2})-18xx

+(3x

−6x

)−18x

4 Simplify.

{x}^{3}-3{x}^{2}-18xx

−3x

−18x

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Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in

algol [13]

5 People can be chosen in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

$nCr=\frac{(n)!}{(n-r)!(r)!}$

So here , n =13 and r=5 ,

So after putting the value of n and r , the equation will be

$13C_5=\frac{(13)!}{(13-5)!(5)!}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{154440}{120}$

$13C_5= 1287$

8 0

3 years ago

The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl

Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

$f(x)=\frac{1}{2}x+\frac{3}{2}$

Option 1

$f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}$

$=-\frac{1}{4}+\frac{3}{2}$

$=-\frac{1}{4}+1+\frac{1}{2}$

$=1+\frac{1}{4}$

$=1\frac{1}{4}$

So, $f(-\frac{1}{2} )=-2$ is false.

Option 2

f(0) = $\frac{1}{2}(0)+\frac{3}{2}$

= $\frac{3}{2}$

True.

Option 3

f(1) = $\frac{1}{2}(1)+\frac{3}{2}$

= $\frac{3+1}{2}$

= 2

Therefore, f(1) = -1 is false.

Option 4

$f(2)=\frac{1}{2}(2)+\frac{3}{2}$

$=1+1+\frac{1}{2}$

$=2\frac{1}{2}$

Therefore, f(2) = 1 is false.

Option 5

f(4) $=\frac{1}{2}(4)+\frac{3}{2}$

$=2+\frac{3}{2}$

$=\frac{4+3}{2}$

$=\frac{7}{2}$

True.

Options (1) and (5) are the correct options.

5 0

3 years ago

6²•8² = [?]<br>Enter the value that goes in the box

Damm [24]

Answer:

36 * 64

= 2304

Hope it help

3 0

2 years ago

If you're good at bearings please help meeeeee with full working out tyyyyyy

Serhud [2]

Letter B. Have a nice day

8 0

3 years ago

Read 2 more answers

How to convert nonlinear equation to linear equation?

9966 [12]

Let's take the non-linear equation:
${x}^{2} = \sqrt{3} y$
First Make The Equation To Be In Terms of Y

*Divide Both sides by
$\sqrt{3}$
$\frac{ {x}^{2} }{ \sqrt{3} } = \frac{ \sqrt{3} y}{ \sqrt{3} }$
*Simplify
$\frac{ {x}^{2} }{ \sqrt{3} } = y$
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.

*Take The Reciprocal Of Both Sides
$\frac{ \sqrt{3} }{ {x}^{2} } = \frac{1}{y}$
A Linear Equation Takes The Format:
$y = mx + b$
So,
$\frac{1}{y} = y$
$b = 0$
$m(slope) = \frac{ \sqrt{3} }{x}$
$x = \frac{1}{x}$
Resulting in :
$\frac{1}{y} = \frac{ \sqrt{3} }{x} (\frac{1}{x} ) + 0$

4 0

3 years ago