find n. (n!)²- 4n! - 12 = 0
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 the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!
Answer:
20
Step-by-step explanation:
This is the formula for a combination. Substitute the values and evaluate the expression.
[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]
7 2/5= 2/3x -4 1/2 plz helpp
Answer:
3 :)
Step-by-step explanation:
i need help btw im 6th grader
what is 2/3 times 3/7
Answer: 2/3 time 3/7 it would be 6/21
Step-by-step explanation: because you would multiply bot the numerator and denominater.
Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles
Answer:
24/2
Step-by-step explanation:
Three times the sum of a number and 7 is equivalent to 57.
Answer:
3(x+7)=57
Step-by-step explanation:
3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.
-hope it helps
Equivalent expressions are expressions that have the same values.
The expression is [tex]3(x + 7) = 57[/tex] and the number is 12
Represent the number with x.
So, the sum of a number (x) and 7 would be represented as: x + 7
Three times the sum would be represented as: 3(x + 7)
This expression is equivalent to 57.
So, we have:
[tex]3(x + 7) = 57[/tex]
Divide both sides of the equation by 57
[tex]x + 7 = 19[/tex]
Subtract 7 from both sides of the equation
[tex]x + 7 - 7 = 19 - 7[/tex]
[tex]x = 12[/tex]
Hence, the number is 12
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Help help help help help help
[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]
Step-by-step explanation:
Co interior angles' sum is 180°
So, 180-67=133133°Two linear equations are represented by using the tables below.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
What is the solution to the system of equations?
A. (–6, –4)
B. (–5, –4)
C. (–3, –2)
D. (0, 1)
Answer:(-3,-2)
Step-by-step explanation:i did the test
Answer: C -3,-2
Step-by-step explanation:
Help pls!!!! Help PLs Help pls
Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Please Like!
A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?
Answer:
6
Step-by-step explanation:
Isn't it 6 because that the distance between 30 and 24
Which of the following function pairs are inverses?
I will give Brainliest, plz help!!
Answer:
with what?
Step-by-step explanation:
??
The table and graph both represent the same relationship. which equation also represents that relationship?
Answer:
I think it's y= 2x
Step-by-step explanation:
For every number in y, x increases by 2
Answer:
y=x2
Step-by-step explanation:
The first one because 2x2 is 4 .
4x2 is 8
6x2 is 12
HELPPPP I WILL GIVE POINTS AND BRAINLIEST
Answer:
11 mm, 21 mm, and 16 mm.
Step-by-step explanation:
since 11+21>16, 11+ 16>21>11, You can form a triangle with 11,21,16
Help help help help help help pelsss
Answer:
angle 4 is also 75 degrees
Step-by-step explanation:
Martha has 2 apples if she buys 2 more how much does she have?
whats .8421 rounded to the nearest tenth
Answer:
8420
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Does the table show a proportional relationship between x and y? Explain.
x y
2 4
4 16
7 79
10 100
Answer:
no
Step-by-step explanation:
if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.
$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?
Answer:
$1,538.00
Step-by-step explanation:
Write five other iterated integrals that are equal to the given iterated integral. 8 0 x2 0 y f(x, y, z) dz dy dx 0
An iterated integral is the outcome of taking integrals toward a function of more than one variable in such a way that part of the variables is treated as constants for each of the integrals.
From the given parameters, we are to write out five iterations for a triple integral;
[tex]\mathbf{\int ^8_0\ \int^{x^2}_{0} \ \int^y_0 \ \ f(x, y, z) \ dz dy dx }[/tex]
where;
the region is bounded by 0 ≤ z ≤ y, 0 ≤ y ≤ x², 0 ≤ x ≤ 8.Thus, since x, y, z are functions of at least one variable, we can have the following iterations:
[tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{y}} \ \int^{y}_{0} \ \ f(x,y,z) dz dxdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{y}_{0} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdzdy}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{64}_{z} \ \int^{8}_{\sqrt{y}} \ \ f(x,y,z)\ dxdydz}[/tex] [tex]\mathbf{\int^{8}_{0} \ \int^{x^2}_{0} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydzdx}[/tex] [tex]\mathbf{\int^{64}_{0} \ \int^{8}_{\sqrt{z}} \ \int^{x^2}_{z} \ \ f(x,y,z)\ dydxdz}[/tex]Learn more about iterated integrals here:
https://brainly.com/question/7009095
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answer:
12
Step-by-step explanation:
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−15x+3≤7
−20, −10, 0, 10, and 20 only
0, 10, and 20 only
−30, −20, and −10 only
−30 and −20 only
Answer:
0, 10, and 20 only
Step-by-step explanation:
−15x + 3 ≤ 7
−15x + 3 - 3 ≤ 7 - 3
−15x ≤ 4
−15x / -15 ≥ 4 /- 15 multiplying by a negative number reverses the sign.
x ≥ -4 / 15
probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.
Anna spent 8 hours reading a book. This is twice as long as Kim spent reading her book. Write an
equation that can be used to find the number of hours, h, Kim spent reading her book.
Answer:
8x2=h
Step-by-step explanation:
Answer:
8 ÷ 2 = h
Step-by-step explanation:
Since we know that 8 hours is two times the amount of time Kim read her book we know we have to divide 8 by 2 to get the answer for h.
have a good day/night
What is 7*1893/2? Help please
Multiply first then divide:
7*1893 = 13251
13251/2 = 6625.5
Answer: 6625.5
ANSWER FOR 30 POINTS
Answer:
one solution.
Step-by-step explanation:
using elimination, u can get one solution
$22.66 is 2% of what number
Answer:
1,133
Step-by-step explanation:
2%=0.02
$22.66÷0.02=$1,133
what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining
Answer:
24.010
Step-by-step explanation:
hope it helps
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation: