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3 years ago

What does the symbol for factorial function (n) mean

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The meaning of n factorial → n !

n ! = n(n - 1)(n - 2)........ × 3 × 2 × 1

For example

7 !

= 7 × 6 × 5 × 4 × 3 × 2 × 1

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Use the line of best fit to predict the percentage sales increase when the

agasfer [191]

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

107%

or?

we use the two points and with that we find the slope first

$\frac{y2-y1}{x2-x1}$

plug in (20,62) and (10,32)

$\frac{32-62}{10-20}$

equals

$\frac{-30}{-10}$

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2 = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

6 0

2 years ago

Read 2 more answers

3 po

Stolb23 [73]

Answer: 360minutes

Step-by-step explanation:

Speed = space/time ; time = space/speed

space = 600km

speed: 100km/h

time = 600km/100km/h = 6hours

Since 1hour = 60minutes

6hours = 6x60minutes = 360 minutes

Answer: 360minutes

<h2><em>Spymore</em></h2>

3 0

3 years ago

A set of ordered pairs is called ordered pairs is called

Amiraneli [1.4K]

A set of ordered pairs is called a relation. The set of all first components of the ordered pairs of a relation is the domain of the relation, and the set of all second components of the ordered pairs is the range of the relation. :)

4 0

3 years ago

Is -2(-3) a positive or negative answer???

Natalija [7]

Answer: positive

Step-by-step explanation: it’s positive because if you multiply two negative numbers they cancel each other out and it makes a positive number

5 0

3 years ago

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Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\

motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in $\sqrt{7}$ , $1 - \sqrt{6}$ and -3. The last root gives us the factor (x+3). Hence, our polynomial is

$P(x) =(x+3)q(x)$

where $q$ is a polynomial with rational coefficients and roots $\sqrt{7}$ and $1 - \sqrt{6}$ . The root $\sqrt{7}$ gives us a factor $x-\sqrt{7}$ , but in order to obtain rational coefficients we must consider the factor $x^2-7$ .

An analogue idea works with $1 - \sqrt{6}$ . For convenience write $x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}$ . This gives the factor $(x-1)^2-6$ . Hence,

$P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105$

Notice that $P(-1)=24$ . So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

$P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35$

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type $x-\sqrt7$ will introduce in the expression, we need to multiply by its conjugate $x+\sqrt7$ . Hence, we will obtain $x^2-7$ that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

4 0

2 years ago