Answers
Answer:
[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringAlgebra II
DiscontinuitiesDomain RestrictionsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.
Related Questions
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers please help
Answers
Answer:
(-,+)
Step-by-step explanation:
Q2 is on the top left, with answer in form of (x,y). Top right is Q1, bottom left is Q3, and bottom right is Q4.
I really need help on this I also have a test on functions anyone willing to help
Answers
Answer: -4≤x≤6 (3rd option)
Step-by-step explanation:
Domain basically means the farthest x values going left and right on a graph. in this case x could be between -4 and 6 as well as equal to both -4 and 6
Find the inverse function of the function f(x) = zx + 7.
Answers
Answer:
Division
Step-by-step explanation:
You divide f by x and since you have to do the same thing you did to f on the other side you divide zx by x which also cancels out x on both sides. which would leave you with f = z + 7. (I'm sorry if i'm wrong)
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answers
Answer:
[tex]468 {in}^{2} [/tex]
Step-by-step explanation:
see attached image, surface area is the area of each surface added together
plz help me with steps by steps asap its due in few minutes BRAINLIST and THANKS to the correct answer
Answers
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x
Since both shapes are similar, then:
[tex]LM : KN = RV : SP[/tex]
This gives:
[tex]4x + 4 : 7x - 9 = 48 : 60[/tex]
As fraction:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{48 }{ 60}[/tex]
Simplify:
[tex]\frac{4x + 4 }{ 7x - 9} = \frac{4 }{ 5}[/tex]
Cross Multiply:
[tex]5(4x + 4) = 4(7x - 9)[/tex]
[tex]20x + 20 = 28x - 36[/tex]
Collect Like Terms
[tex]28x - 20x = 20 + 36[/tex]
[tex]8x = 56[/tex]
[tex]x = 7[/tex]
can someone help me?
Answers
9514 1404 393
Answer:
tan B = 12/5cos B = 5/13sin B = 12/13Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Find the length of AC.
Answers
Answer:
D. 8 cm
Step-by-step explanation:
Reference angle = 60°
Opposite side = BC = 8√3
Adjacent side = AC = ?
Thus:
Tan (60) = opp/adj
Tan (60) = (8√3)/AC
AC*Tan(60) = 8√3
Divide both sides by tan (60)
AC = (8√3)/Tan(60)
AC = (8√3)/√3 (tan 60 = √3)
AC = 8 cm
What is the value of sin 60
Answers
Answer:
-0.3048106211
Six out of the 12 members of the school choir boys. In the simplest form, what fraction of the choir is boys? Pls help out with this question
Answers
Hope that helps :)
A typical roulette wheel used in a casino has 38 slots that are numbered 1, 2, 3, ... , 36, 0, 00, respectively The 0 and 00 slots are colored green. Half of the remain ing slots are red and half are black. Also, half of the integers between 1 and 36 inclusive are odd, half are even, and 0 and 00 are defined to be neither odd nor even. A ball is rolled around the wheel and ends up in one of the slots; we assume that each slot has equal probability of 1/38, and we are interested in the number of the slot into which the ball falls.
a. Define the sample space S.
b. Let A = {0, 00}. Give the value of P(A).
c. Let B = {14, 15, 17, 18}. Give the value of P(B).
d. Let D = {x : x is odd}. Give the value of P(D).
Answers
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
For point a:
Space for results All possible outcomes are:
[tex]\to O = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,}[/tex]
[tex]17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, \\ 29, 30, 31, 32, 33, 34, 35, 36, 0, 00}[/tex]
For point b:
[tex]\to P(A) = \frac{ \text{ \# of outcomes in A}}{ \text{ \# Total outcomes}} = \frac{2}{38} = 0.052[/tex]
For point c:
[tex]\to P(B) = \frac{ \text{ \# of outcomes in B}}{\text{ \# Total outcomes}} = \frac{4}{38} = 0.105[/tex]
For point d:
We consider that in D there are 18 elements (only Odd numbers in the range 1 to 36)
[tex]\to P(D) = \frac{ \text{\# of outcomes in D}}{\text{\# Total outcomes}} = \frac{18}{38} = 0.473[/tex]
common demominator of 1/3 and 3/4
Answers
Answer:12 is a common denominator!
Step-by-step explanation:
BRAINLIEST ! Find the equation of the line.
Answers
Answer:
y=-3x+7
Step-by-step explanation:
m=gradient=-3
About 4 out of every 804 people in the world are citizens of Canada. Write this number
as a percent. Round to the nearest hundredth of a percent.
Answers
Answer: .5%
Step-by-step explanation: 4/804 reduces to 1/201, which is 0.5%
What is the surface area of this 3-D solid?
Answers
Answer:
I think its flat sorry if it's wrong
Find the sum:
1. 23.456 + 3.0034
Answers
Answer:
26.4594
Step-by-step explanation:
I mean im not sure i can teach you addition
You deposit $3000 in an account earning 5% interest compounded monthly. How much will you have in the account in 15 years?
Answers
Answer:
9000
Step-by-step explanation:
Answer:
6236.78454 or 6236.78
Step-by-step explanation:
Use formula A=P(1+r)^t
A=3000(1+0.05)^180/12
*convert 15 years to moths* 180 months
A=3000(1.05)^180/12
A=3000(2.07892818 )
A=6236.78454 or 6236.78
Hope this helps ^-^
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 8 student tickets for a total of $56. The school took in $14 on the second day by selling 1 adult ticket and 1 student ticket. What is the price of each of on adult ticket and one student ticket
Answers
Answer:
Step-by-step explanation:
a+s=14
a=14-s
a+8s=56, using a from above in this equation gives
14-s+8s=56
14+7s=56
7s=42
s=6
a=14-s
a=14-6=8
So student tickets cost $6 and adult tickets cost $8.
can someone help me i lost
Answers
find the value of y plzzzz
Answers
Answer:
The exterior angles of a triangle will always add up to be 360. Since there are 2 angles 100 and 135, that's a total of 235. You would then subtract 360 - 235 which is 125.
y = 125
Hunter took a test With 28 questions. If he answered of 2/7 of the questions correctly, how many did he
get wrong?
Answers
Answer:20
Step-by-step explanation: If you have a calculator its easy
Answer:
28.5% or you can divide to get your answer
Step-by-step explanation:
so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%
fill in the three answer below for the area of the composite shape
Answers
Answer:
A) 3 x 6 = 18 in^2
B) 11 x 8 x 0.5 = 44 in^2
C) 18 + 44 = 62 in^2
There is 4/5 pound of paper clips to share equally with 3 employees. What amount of paperclips will each employee receive?
Answers
Answer: 4/15
Step-by-step explanation: 4/5 divided by 3 is the same as 4/5 times 1/3 wich is the reciprocal of 3
The sum of the opposite of a number and six is less than or equal to five.
Answers
Answer:
-x+6< 5
there is a line under the less than symbol
Step-by-step explanation:
The mathematical expression is;
⇒ - x + 6 ≤ 5
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The algebraic expression is,
''The sum of the opposite of a number and six is less than or equal to
five.''
Now,
Let a number = x
The, The opposite of a number = - x
So, We can formulate;
⇒ - x + 6 ≤ 5
Thus, The mathematical expression is;
⇒ - x + 6 ≤ 5
Learn more about the inequality visit:
https://brainly.com/question/23945265
#SPJ2
Find 2/3 of 24
Help ASAP plz!! Got to get finished tonight
Answers
Please mark Brainliest
If u need an explanation lemme know
Answer:
16
Step-by-step explanation:
[tex](\frac{2}{3} )*24=16[/tex]
Three angles on a line have a ratio of 3:4:5. What are the measures of the three angles
Answers
Answer:
3 + 4 + 5 = 12
180÷12 = 15
for 3 it will be 3×15=45
for 4 it will be 4×15 =60
for 5 it will be 5×15 =75
Find the area please :))))))
Answers
Answer:
86.60 units²
Step-by-step explanation:
It’s composed of two equilateral triangles (60-60-60).
(10√3)/2=8.66 (the height of each triangle
area = 1/2bh
1/2(10)(8.66)=43.30127
43.30127x2=86.60254
geometry please help :( so stuck in this topic
Answers
Answer:
a (6,-3)
b (9,0)
c (5,1)
Step-by-step explanation:
d − 32 = 65 play android
Answers
Answer:
d = 97Step-by-step explanation:
When you look at the equation, you can tell that it's asking for the difference of a number and 32. Add together 65 and 32 to get 97.
45% of the population of a city are men
and 15% are children. If the number of
women is 64,400, find the number of
children.
Answers
Answer:
[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]
Step-by-step explanation:
Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,
[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]
So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .
So let us take the total number of people be x . So ,
[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]
[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]
[tex]\rule{200}2[/tex]
The percentage of children = 15% :-
[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]
Two cross roads, each of width Sm, run at right angles through the
centre of a rectangular park of length 70m and breadth 45m and
parallel to its sides
On the basis of the above information, answer any four of the
following questions
Answers
Answer:
Rs 57750
Step-by-step explanation:
width =5 m
length of first parallel road 70 m
area of first road 70×5=350 sq.m
length of second road 45 m
area of second road =45×5=225 sq.m
area of the common part of cross road with 5 m width that lies at the
center of the park 5×5 = 225 sq.m
area of roads = area of first road +area of second cross road−common area
=(350+225)−25
=575−25
=550sqm
cost of the construction per sq.m =Rs.105
total cost =550×105=Rs 57750
