An equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).
The given denominator are (x+3), (x−4) and (x+4).
What is a rational expressions?A mathematical expression that may be rewritten to a rational fraction, an algebraic fraction such that both the numerator and the denominator are polynomials.
Here, an equivalent rational expressions is
[tex]\frac{1}{x+3}+\frac{1}{x-4} +\frac{1}{x+4}[/tex]
The LCM of denominators is (x+3)(x-4)(x+4)
= (x+3)(x²-16)
= x(x²-16)+3(x²-16)
= x³-16x+3x²-48
= x³+3x²-16x-48
Now, [tex]\frac{(x-4((x+4)+(x+3)(x+4)+(x+3)(x-4)}{x^3+3x^2-16x-48}[/tex]
= (x²-16+x²+7x+12+x²-x-12)/(x³+3x²-16x-48)
= (3x²+6x-16)/(x³+3x²-16x-48)
Hence, an equivalent rational expressions with denominator (x+3), (x−4) and (x+4) is (3x²+6x-16)/(x³+3x²-16x-48).
Learn more about the rational expressions here:
https://brainly.com/question/19585906.
#SPJ1
8th Grade Math! Help Please.
Answer:
bolded
Step-by-step explanation:
2. 11= 3z +5
6 = 3z z= 2
3. 2s - 4 = 6
2s=10 s= 5
4. 5r + 8 = -12
5r = -20 r= -4
5. -6p - 3 = 9
-6p = 12 p= -2
6. 3x + x -2 = -14
4x = -12 x= -3
7. 5c + 2 -3c = 10
2c = 8 c=4
8. 3 + 7n +2n = 21
9n = 18 n=2
9. 6r + 5 - 7r =21
-1r =16 r= -16
10. 8 - 5b= -7
-5b = -15 b= 3
11. 6 - 4m= -10
-4m = -4 m= 1
12. -3t + 4 =19
-3t = 15 t= -5
13. a= 18
Questions 1-14of 14
Which expression is equivalent to the quotient of 4 and t?
4+t
4
t
4xt
Od
4-t.
Please help.
A principal investment of $2,000 earned $200 of simple interest over 4 years. Use the appropriate formula to find the interest rate.
I’m soooo grateful for you guys that’s helping me!!!
Answer:
52
Step-by-step explanation:
Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.
The triangle is rotated in a _________
direction.
On a coordinate plane, triangle B C D is rotated clockwise to form triangle B prime C prime D prime.
Answer:
clockwise
Step-by-step explanation:
Answer:
Clockwise
Step-by-step explanation:
What would be the area of the TRIANGLE if the base of
the triangle was 67 units long and it's height is 3 units
long?
Answer:
jjggaiidyusipdyyakkgffaulfrraiiiguua
a.When the numerator and the denominator have no common factor other than 1; he fraction is either a proper fraction or mixed number
Answer:
The fraction is a proper fraction (and irreducible)
Step-by-step explanation:
Given
[tex]x = Numerator[/tex]
[tex]y = Denominator[/tex]
[tex]Common\ factor = 1[/tex]
Required
The type of fraction
A fraction with the given features is a proper fraction and cannot be further reduced.
Take for instance:
[tex]x = 2[/tex]
[tex]y = 7[/tex]
The only common factor between [tex]2\ and\ 7[/tex] is 1
[tex]\frac{x}{y} = \frac{2}{7}[/tex]
See that 2/7 is a proper fraction and also 2/7 cannot be reduced (simplified)
The above logic is applicable to all fraction that have the attribute stated in the question (e.g. 3/7, 3/8, 4/9, 7/10, etc.)
1.) Mr. Sno-Cone tracked how many snow cones he sold during a week. What is the range of
his data?
25
30
28
22
32
40
31
Number
Sold
Which equation is equivalent to 5x – 4y = 8?
Answer:
you got it right
Step-by-step explanation:
you mathaway to get the answer
What is the lateral surface area of the triangular prism?
Select one:
96 ft
36ft
60ft
84ft²
Answer:
96 feetStep-by-step explanation:
thats the answer poSam and Dave, who are both Park Rangers, each manage a nature preserve. Devin's nature reserve is 14 hectares and Sam's nature reserve is 14\cdot 10^{6}14⋅10 6 square meters. Who manages the smaller nature preserve? Note: 1 hectare = 10,000 square meters
Answer: Devin's
Step-by-step explanation:
Given
Devin's nature reserve is 14 hectares
Sam's nature reserve is [tex]14\times 10^6\ m^2[/tex]
Also, [tex]1\ \text{hectare}=10,000\ m^2[/tex]
Devin reserve in square meter [tex]14\ \text{hectares}=14\times 10^4\ m^2[/tex]
Clearly, [tex]14\times 10^6> 14\times 10^4[/tex]
So, Devin's manages smaller area
Shawn wrote down the activities for his day on Saturday. In which situation will his activity result in a final value of zero? *
A. Shawn places four quarters in a jar of quarters which contains four quarters.
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies. By the end of the day he ate ten candies from this jar.
C. Shawn starts out on the ground and then climbs ten feet on a ladder.
D. Shawn travels east ten feet and then travels south ten feet.
NO SCAM LINKS
Answer:
B
Step-by-step explanation:
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies.
So he had 10 candies.
By the end of the day he ate ten candies from this jar.
Now he had 10-10 = 0, zero candies.
Answer:
B
Step-by-step explanation:
A 4+4=8
B 10-10=0
C 10'
D 10'E 10'S
- ( Intercepts form two points form )
If A ( a , b ) and B ( b , a ) lie in 6x-y =1 and 2x - 5y = 5 respectively , find the equation of AB. Show your workings too!
~Thanks in advance! :D
Answer:
Solution given:
A(a,b) lie in 6x-y =1
substituting value of A in equation ,we get
6a-b=1...................(1)
B(b,a) lie in 2x - 5y = 5
substituting value of B in equation ,we get
2b-5a=5
b=5(a+1)/2............(2)
substituting value of b in equation 1 ,we get
6a-5(a+1)/2=1
12a-5a-5=2
7a=2+5
a=[tex] \frac{7}{7} [/tex]=1
substituting value of a in equation 1 ,we get
6×1-b=1
6-1=b
b=5
so points are A(1,5) and B(5,1)
we have
equation of line having two points
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]
[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]
[tex](y - 5) = -1 (x - 1) [/tex]
y-5=1-x
x+y=6 is a required equation of line AB.
I cant seem to get it can you help me, please.
If y varies inversely as x, and y= 4 when x=6, then determine the value of y when x=5.
Answer:
y = 4.8
Step-by-step explanation:
y = k/x
4 = k/6
k = 24
y = 24/5
y = 4.8
A town's population is currently 30,000. If the population doubles every 45 years, what will the population be 90 years from now?
hi I need help in this math equation ASAP pls give me. an answer and don't fool around I'm serious!!
Answer:
58
nth term is 25 i think
Step-by-step explanation:
The next number is
58.
Each number is +11
So, the next number that comes after 47 is 58.
14+11= 25
25+11= 36
36+11=47
47+11=58
The nth term is 11n+3d=11a=14a= d⋅n+a-da= 11⋅n+14-11a= 11n+3Determine whether the pair of coordinate pairs will make the linear inequality true or false.(10, 6).Y ≤ -5/5x+3
Answer:
False.
Step-by-step explanation:
We have the ordered pair (10, 6) and we want to see if this ordered pair is a solution of the inequality:
y ≤ -5/5x+3
Remember that a generic ordered pair is written as (x, y)
Then for the ordered pair (10, 6) we have:
x = 10
y = 6
So we just need to replace these two values in the inequality and see if the inequality is true or false.
Replacing these values we get:
6 ≤ (-5/5*10) + 3
6 ≤ (-1/10) + 3
This is false, 6 is not less than the thing at the right, so we can conclude that (10, 6) is not a solution of the inequality.
So the coordinate pair makes the inequality false.
Which right circular cylinder has the greater volume
Answer:
the blue cylinder
Step-by-step explanation:
HELP PLEASE 14 POINTS
Answer:
To my knowledge of congruency, I would say the answer is A,
Step-by-step explanation:
Hope this helped!!!
You flipped a coin 65 times, and it landed heads side up 37 times. What is the experimental probability of it landing tails side up?
Answer:
28/65
Step-by-step explanation:
I need this done for a test, and if someone can answer one of my past questions, thank you
Answer: #1 D 60 2# H
Step-by-step explanation:
Select all the expressions that are equivalent to 20% of 150.
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
What is c the number of baseball cards in coles cole collection ? * I will give brainliest pleaseee help
Answer:
24
Step-by-step explanation:
120/5
Answer:
d i hope am sorry if i calcuc wrong
Step-by-step explanation:
If the probability that someone
will win a game at the carnival is
1/24, what is the probability that
they will not win?
Answer:
1 - 1/24 = 23/24
Step-by-step explanation:
Please help me I’ll give brainly
Answer:
9 and 10
Step-by-step explanation:
square root of 96 is 9.79795897113
Answer:
9 and 10
Step-by-step explanation:
because square of 9 is 81
and square of 10 is 100
81<96<100
so it lies between 9 and 10
What is vertices A(1, 4), B(2, 7), C(7, 7), and D(6, 4) reflected over the x-axis . PLS HELP ME
Step-by-step explanation:
A(1,4)=A'(1,-4)
B(2,7)=B'(2,-7)
C(7,7)=C'(7,-7)
D(6,4)=D'(6,-4)
What are some properties and uses of the square root function?
Answer:
The domain of the square root function f(x)=√x is given in interval form by: [0,+∞)
The range of the square root function f(x)=√x is given in interval form by: [0,+∞)
The x and y intercepts are both at (0,0)
The square root function is an increasing function.
I NEED HELP ITS DUE TOMORROW
Answer:
A is congruent
B is congruent
Triangle congruence statements:
A: EFD=ACB
B: LJK= YXZ
Hope this helps
The perimeter ratio of two similar triangular prisms are 13:7. If the surface area of the smaller prism is 52km2 , then calculate the larger surface area.
Answer:
96.5714285714 km^2
Step-by-step explanation:
You have to multiply 52 by 13/7
Answer:
96.5714285714 km^2
hope it helps