Simplify the expression given below.
X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9
A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)
Answers
Answer:
D
Step-by-step explanation: your welcome have a good day
Answer:
C. [tex] \dfrac{1}{3x + 1} [/tex]
Step-by-step explanation:
[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]
Factor all polynomials.
[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]
To divide by a fraction, multiply by its reciprocal.
[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]
Cancel out common factors in the numerator and denominator.
[tex] = \dfrac{1}{3x + 1} [/tex]
Related Questions
1. Use the points in the diagram to name the figure
1)JS↔️
2JS➡️
3)JS—
4)JS
Answers
Answer:
The correct option is;
[tex]\ \underset{JS}{\rightarrow} \right |[/tex]
Step-by-step explanation:
The given diagram consists of a a starting point, J having a direction passing through the point S and the line has one arrowhead on the right pointing to infinity, which is the symbol for a ray, JS
The denotation of a ray is made by the name of the ray having an overhead arrow as follows;
ray [tex]\ \underset{JS}{\rightarrow} \right |[/tex]
Option B is correct that is [tex]\overrightarrow{JS}[/tex].
VectorIt has magnitude, direction, and follows the law of vector addition.
How to find the direction of vectro?As the direction is given from J to S. our JS vector becomes [tex]\overrightarrow{JS}[/tex].
Thus, option B is correct that is [tex]\overrightarrow{JS}[/tex].
More about the vector link is given below.
https://brainly.com/question/13188123
i need help pleaseee
screen shot attatched
Answers
Answer:
1,200 cubic cm
Step-by-step explanation:
First, you separate it into two prisms, which gives you two different volume formulas.
14*20*2 = 560
20*4*8 = 640
You then add the two volumes together, which equals 1,200
Answer:
sorry wish i could help....
Step-by-step explanation:
Help please ASAP please I’ll mark you as brainlister
Answers
Answer:
a = 4
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]
[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]
[tex]4 = a[/tex]
[tex]a = 4[/tex]
5
True or False:
a = 6 is a solution to the inequality a > 6
----
A) True
B
False
Answers
Answer:
False.
Step-by-step explanation:
If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answers
Answer:
associative property
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints (-4,4),(-2,2)
Answers
Answer:
(-3,3)
Step-by-step explanation:
use the midpoint formula
Find x =
-47
-27
-73
-33
Answers
I do draws a blueprint of a house using the scale 1 in equals 6 ft in the kitchen has a length of 24 ft what is the length of the kitchen on the blueprint
Answers
Answer:
Length of kitchen on blueprint = 4 in.
Step-by-step explanation:
Scale used to draw a blueprint of a house :
6 feet = 1 in.
Therefore, 1 feet = [tex]\frac{1}{6}[/tex] in.
If the length of kitchen = 24 feet
Then the length of kitchen on the blueprint will be
= [tex]\frac{1}{6}\times 24[/tex]
= 4 in.
Therefore, length of kitchen on blueprint is 4 in.
A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?
Answers
Answer:
15 feet
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b represents the legs of the triangle
c represents the hypotenuse (which is the chain)
Answer: 15ft chain length
Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom
12^2+9^2=c^2
225=c^2
15=c
What is -3 + 4 is it 1, -1, 7 or -7?
Answers
Answer:
The Answer Is 1
Step-by-step explanation:
Because if you take -3+4 you get 1
Find the x- and y-intercepts of
3x – 4y = 24
Answers
and
x= 8
i hope that helps :)
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answers
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
which number line shows the best solution for n>3
Answers
Answer:
Open circle on 3 and an arrow going to the right of 3
Step-by-step explanation:
A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.
Answers
Answer:
15 + 1.50x
Step-by-step explanation:
Which value for s will make this equation true?
s(11 - s) = 24
Answers
3(11-3)=24
33-9=24
24=24
8(11-8)=24
88-64=24
24=24
14+x = -9
X equals what?
Answers
Answer:
x=−23
Step-by-step explanation:
14+x=−9
Step 1: Simplify both sides of the equation.
x+14=−9
Step 2: Subtract 14 from both sides.
x+14−14=−9−14
x=−23
Answer:
-23
Step-by-step explanation:
14+x =-9
-14 -14
x = -23
Super Grocery Store paid its cashiers $6.75 an hour. Since the store has come under new management, the cashiers make 25% more an hour. How much do the cashiers currently make an hour? Round answer to the nearest hundredth
Answers
Answer:
The current hourly pay is $8.44 approx
Step-by-step explanation:
Step one:
given data
Super Grocery Store paid its cashiers $6.75 an hour
We are told that the cashiers make 25% more an hour
Required
The cashier's current hourly pay
Step two:
the current hourly pay will be
former pay + 25% of former pay
=6.75+0.25*6.75
=6.75+1.6875
$8.437
=$8.44 approx
need help plz, completely don’t understand :(
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
In each empty table square, fill in the value that is computed by replacing 'n' in the rule to the left with the value of 'n' above that square.
For example:
The upper left empty square will be filled with ...
n -5 . . . . with n replaced by 1
1 - 5 = -4 . . . . the value that goes in the upper left square.
__
Another example:
The lower right square will be filled with ...
4n -3 . . . . with n replaced by 100
4·100 -3 = 400 -3 = 397 . . . . the value that goes in the lower right square
_____
Additional comment
When there are numerous table values to fill, it can be convenient to let a spreadsheet do the calculations. Here, each formula was entered once, then filled to the right.
Andrew paid $40 for a pizza. He forgot that he had a coupon for 10% off the pizza. What would the sale price have been if he used his coupon?
Answers
Answer:
The pizza would have been $36
Answer:
The pizza is 36 dollars if he had used the coupon.
Step-by-step explanation:
Gracelyn has 3 more children than Ella has. Gracelyn has 9 children.
How any children does Ella have?
Pick an equation and then solve
a3-x=9
b9x=3
c3/x=9 (fraction)
dx+9=3
ex-3=9
f3x=9
gx+3=9
h.x/3=9 (fraction)
Answers
It could simply be 9-3 or 3+x=9
How could Grace handle those children?!? My parents have trouble handling 4 kids
6) Find the quotient
Answers
1/2 x 1/5 = 1/10
Answer 2 1/10
look at the picture please help
Answers
Answer:
69
Step-by-step explanation:
7 times 6=30+? Anyone help please do
Answers
Answer:
12
Step-by-step explanation:
7(6)=30+x
42=30+x
12=x
PLS HELP OMG ITS ALGEBRA 1 im gonna drop out at this point
Answers
Answer: h≈3.42in
Good luck!
[2.1 + (9.2 x 3.3)] x 0.8
Answers
Answer:
the answer is 25.96800
Help? I’ll mark u brainliest
Answers
Answer:
11 because adjacent is basically next to and NKL is 12
Step-by-step explanation:
Clear selection
If I double a number, subtract 3 and the answer is 7, what number did I start 1 point
with?
10
5
4
6
Answers
Answer:
5
Step-by-step explanation:
if you double 5 you get 10 and if you remove 3 you get 7
Answer:
5
Step-by-step explanation:
since 5 +5 = 10 then you'd subtract 3 u would end up with 7
A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20
Answers
Answer:
c. $10.56
Step-by-step explanation:
$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64
$13.20 - $2.64 = $10.56
I NEED HELP NOW ITS DUE TOMORROW!
A farmer owns a total of 14 acres in land. The land is separated into 5 5/6 equally sized sections. How many acres are in each section?
Write your answer as a mixed number in simplest form.
Answers
Answer:
2 2/5
Step-by-step explanation:
14 divided by 5/6 is 2 2/5
Simplify:
2 11/12 + 5 1/2 + 3 3/8
Write you answer as a mixed number.
Answers
Answer:
[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)
[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)
[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)
[tex]\frac{283}{24}[/tex] (this is improper, so you need to convert back to mixed by dividing)
[tex]11\frac{19}{24}[/tex] (this is your answer)