find n. (n!)²- 4n! - 12 = 0​

Answers

Answer 1

Answer:

n=6 , n=-2

Step-by-step explanation:

[tex]n^{2}-4n-12=0[/tex]

Factorise to give:

[tex](n-6)(n+2)[/tex]

Set first one to equal 0:

[tex]n-6=0[/tex]

[tex]n=6[/tex]

Set second one to equal 0:

[tex]n+2=0[/tex]

[tex]n=-2[/tex]

Reason for 2 solutions:

All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.

The solution(s) is the point where the graph crosses the x-axis

The image below shows the graph of the equation:

[tex]n^{2}-4n-12[/tex]

When y=0:

It intercepts the x-axis at 6 and -2 giving why n has 2 solutions

Find N. (n!)- 4n! - 12 = 0

Related Questions

What is the perimeter of the triangle?

Answers

Answer:

34

Step-by-step explanation:

12 on two of the sides and 10 on bottom

There is a problem with the question since it is supposed to say how much length does each box in the graph consider. But assuming that each box length is 1 unit...

The pythagorean formula states a^2 + b^2 equals c^2 .... Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)

So, lets just divide the blue triangle in half, symmetrically so that we can get a 90 degree angle. "a" is height of the half triangle and "b" is base of the half triangle so we have to find "c" (the hypotenuse) Now that we already can count and find the value of a is 12 unit and b is 5 unit.

So, 12^2 + 5^2 equals c^2 ... now if we solve the formula, the value of "c" comes 13 (it also comes -13 but negative number can not be counted in the diagram)

The triangle is a isoceles triangle which means both the sides of "c" are equal so... one side is 13 then the other side is also 13. and we already know the base is 10 units. So just add them up-   13+13+11 comes 37 units. (Its kinda complicated and i am bad at making someone understand so just learn the pythagorean theorum...)

SO THE FINAL ANSWER IS 37 UNITS. i am not sure so let me know if am correct. And if i m wrong... pls forgive me T-T

What is the value of x? Enter your answer in the
box.

Answers

Answer:

70⁰ + 30⁰ + x = 180 ( angle sum property (

100⁰ + x = 180

x = 80⁰

Select the best estimate for the quotient.75.1÷9=

Answers

Answer:

8.3 44444 is the answer

Step-by-step explanation:

Easy question about multiplication? unsure why not getting full marks

Answers

i think that you have forgot to divide at the end, like the first one would be 28 because you would divide by an estimate of 2

What is the greatest exponent in the expression 8x-x^2+9-3x^4+5x?

Answers

Answer:

4

Step-by-step explanation:

What is the slope of the line?
1/2 2 1 -2

Answers

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Simplify. Show all steps
-25y - (5y - 41)

Answers

the answer is -30y + 41

steps:

•distribute the negative sign within the numbers in the parenthesis (you can also input a one to that negative sign for an easier visual)

-25y - 5y + 41

•next, combine your like terms. so add 25y and 5y, but keep the negative sign.

-30y + 41

•there are no more like terms so that is your final answer! hope this helps :)

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answers

Answer: f(x) and g(x) are inverses of each other

========================================================

Explanation:

Start with the f(x) function. Then plug in g(x) like so

[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]

----------------------------

Now we'll start with the g(x) function and then plug in f(x)

[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]

----------------------------

We've shown that the two equations are true

f(g(x)) = xg(f(x)) = x

Therefore, f and g are inverses of each other.

Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula I=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
PLEASE HURRYYYY!

Answers

I = P x R x T

I = $4500 x 5% x 4

5% = .5

4500 x .5 x 4 = 9,000

I think this should be correct .

3 movie tickets cost 36$. at this rate, the cost per ticket is $..

Answers

Answer: The cost per ticket is $12.

Step-by-step explanation:

write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4

Answers

Answer:

[tex]x^3-2x^2-8x[/tex]

Step-by-step explanation:

[tex]x(x+2)(x-4)[/tex]

[tex]x(x^2-2x-8)[/tex]

[tex]x^3-2x^2-8x[/tex]

HELP ME OUT PLEASE!!!

Determine which graph shows y as a function of x.​

Answers

bottom right graph. it’s the only one that passes the vertical line test, making it the only function

how many seconds are there in 3 minute By the process ​

Answers

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15

Answers

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the equations are √75 , √25 x √3 and √15 x √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 5√3   be equation (1)

On simplifying the equation , we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the equations are √75 , √25 x √3 and √15 x √5

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Estimate the quotient. 2,506 / 2

Answers

Answer:

1253

Step-by-step explanation:

2500/2 is 1250.

so 2506/2 will be a bit above.

1253 is an estimate

At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *

Answers

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

           

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!

Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||

Answers

Answer:

i think its b.

Step-by-step explanation:

correct me if im wrong. and it was worth 10 points instead of 20.

joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?

Answers

Step-by-step explanation:

I don't know the answer really

-1⅓ + 2⅓ what is answer ​

Answers

The answer to -1 1/3 + 2 1/3 is 1
Ok done. Thank to me :>

99 points


solve the system of equations by graphing

k12 test interim checkpoint 4

Answers

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

Question 3 of 10
Find tan 0

Answers

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

the permiter of one face of cube is 60 cm then its volume :​

Answers

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10

Answers

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company

Answers

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

A fair coin is tossed four times. What is the probability of obtaining at least three tails?

Answers

The probability of obtaining at least three tails is; 5/16

When tossing a coin four times, the number of possibilities since one is either a tail or head is;

Total number of possibilities = 2⁴ = 16

Now, various ways of getting at least three tails are;

TTTH, TTHT, THTT, HTTT, and TTTT.

This is a total of 5 different ways.

Thus;

P(obtaining at least 3 tails) = 5/16

Read more about probability when a coin is tossed at; https://brainly.com/question/1334780

Describe how to find your x-intercepts ?

Answers

The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane. You welcome!

find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years

Answers

Step-by-step explanation:

hope it will help you......

What is the opposite of 3.5? Write your answer as a decimal

Answers

The opposite of 3.5 is -3.5
Other Questions
I am on my knees begging for help i will mark brainlist please hear my cries Part A: Which of the following pairs of coordinates would represent the missing values in the table? options:(3, $2560) & (4, $2048)(3, $640) & (4, $128)(3, $2560) & (4, $512)(3, $640) & (4, $512)Question 6 (4 points) Part B: Write an equation that can be used to find the value of the piano, v, after t years Please help me with the math below Spindle fibers begin to form. A piece of metal with a length of 2.83 cm was measured using four different devices. Which of the following measurements is the most accurate? O 2.812 cm O 2.837 cm O 2.805 cm 0 2.829 cm Three more than the product of 24 and Matt's height Answers plz fast ????? :D pls help i need help if you help me with this ill mark you brainlest if you are the first to answer. please explain to me how to solve for x and y please answer this (fill in the blank) what is the main difference between the cephalothorax and abdomen On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday? It is possible for an individual to exercise too much.Please select the best answer from the choices provided.TF If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x). Which of the following values are in the range of the function graphed below?Check all thatapply. What is the distance between -10 and 17 on the number line? A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why? help please like desperately in need of help Henlo, wutt comes next?a=6a+6-1a=6a+5=? A student creates a hypothesis about their upcoming experiment. What must thestudent do in their experiment with relationship to their hypothesis?create a law based on the hypothesischange the experiment to make the hypothesis correctignore the hypothesismake observations to prove or disprove the hypothesis