find n. (n!)²- 4n! - 12 = 0
Answers
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
Related Questions
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:
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
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
Simplify. Show all steps
-25y - (5y - 41)
Answers
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 :)
Describe how to find your x-intercepts ?
Answers
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 = $4500 x 5% x 4
5% = .5
4500 x .5 x 4 = 9,000
I think this should be correct .
Question 3 of 10
Find tan 0
Answers
[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]
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]
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......
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!
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
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
Answers
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
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.
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
What is the opposite of 3.5? Write your answer as a decimal
Answers
Select the best estimate for the quotient.75.1÷9=
Answers
Answer:
8.3 44444 is the answer
Step-by-step explanation:
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
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.
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
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.
Easy question about multiplication? unsure why not getting full marks
Answers
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.
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.
What is the greatest exponent in the expression 8x-x^2+9-3x^4+5x?
Answers
Answer:
4
Step-by-step explanation:
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.
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answers
========================================================
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)) = xTherefore, f and g are inverses of each other.
-1⅓ + 2⅓ what is answer
Answers
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
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
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