What is the simplified form of each rational expression? Specify the domain. 75 Points.
(2x² + 11x + 5) / (3x² + 17x + 10)
(x² + 3x - 18) / (x² - 36)
(6x² + 5xy - 6y²) / (3x² - 5xy + 2y²)
Answers
Answer:(2x² + 11x + 5) / (3x² + 17x + 10) is simplified to (2x+1) / (3x+2)
(x² + 3x - 18) / (x² - 36) is simplified to (x-3) / (x-6)
(x² + 3x - 18) / (x² - 36) is simplified to (6x² + 5xy-6y²) / (3x²- 5gx+ 625)
Step-by-step explanation:
Related Questions
A company makes cylindrical crackers that have a cylindrical hole in the middle.
The diameter of the entire cracker is 16 mm the diameter of the hole is 8 mm, and the cracker is 18 mm long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.
Answers
Answer:
2714 mm3
Step-by-step explanation:
Volume of the material used in each cylindrical cracker is 2714 cubic mm.
Volume of a cylinder: Volume of a cylinder is given by the expression,
Volume = πr²h
Given in the question,
Cylindrical cracker have a cylindrical hole in middle. Diameter of entire cracker = 16 mm Diameter of the cylindrical hole = 8 mm Length of the cracker = 18 mmMaterial used in cracker = Volume of the whole cracker - Volume of the cylindrical hole
= [tex]\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)[/tex]
= 1152π - 288π
= 864π
= 2714.34
≈ 2714 cubic mm.
Therefore, volume of the material used in each cracker will be 2714 mm³.
Learn more about the volume of a cylinder here,
https://brainly.com/question/15891031?referrer=searchResults
HELP ASAP PLEASE:
What is m∠K?
Answers
Answer:
55 degrees
Step-by-step explanation:
180-122=58
58+67=125
180-125=55
Answer:
A. 55°
Step-by-step explanation:
<K + <L = 122° [ exterior angle of a triangle is equal to the sum of two opposite interior angles ]
<K + 67° = 122°
<K = 122° - 67°
<K = 55°
Hope it will help :)
I will mark you brainiest if you can answer this
Answers
Answer:
A) 12/8, 15/10, and 9/6
or 3/2, 3/2, and 3/2
B) PQR = PQ'R' or PQR is congruent with PQ'R'
C) You can tell the corresponding angles of PQR and PQ'R' are congruent because they have the same angle degree and have a proportionate ratio.
Step-by-step explanation:
A) PQ' = 12 and PQ = 8, Q'R" = 15 and QR = 10, PR' = 9 and PR = 6
GCF (12, 8) = 4, GCF (15, 10) = 5, GCF (9, 6) = 3
Pls answer this for me. ASAP
Answers
Answer:
Step-by-step explanation:
1) From AP to PB
we get , from part to part that ,
AP=(1/2)*PB or
PB = 2*AP
2) from part to whole,
AP to AB, we get
AP = (1/3)*AB
or AB = 3*AP
What is the slope of the line represented by the equation y = 4/5x - 3?
Answers
Answer:
4/5
Step-by-step explanation:
y = mx+b => m is the slope
In an orchard of apple and peach trees, 3/7 of the trees are peaches. What is the ratio of apple trees to peach trees?
Answers
The ratio of apple trees to peach trees, if 3/7 of the trees are peaches is
4:3.
A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
We have been given that
In an orchard of apple and peach trees, 3/7 of the trees are peaches.
Find out
The ratio of apple trees to peach trees?
To simplify a ratio, divide each number in the ratio by the same amount. To fully simplify a ratio, divide each number in the ratio by their highest common factor. Always keep the numbers in the ratio as whole numbers.
Let the number of total trees in orchard is 7 i.e. denominator of fraction.
Then the no. of peaches tree are 3
so the no. of apple tree in the orchard = 4
Hence , If 3/7 of the trees are peach trees, the ratio of apple trees to peach trees is 4:3.
To learn more about Ratio
https://brainly.com/question/3796978
#SPJ1
5 + 20 = 4 x 2
HELP ME PLZZZ
Answers
Answer:
False
Step-by-step explanation:
5 + 20 = 25
4 x 2 = 8
Therefore, the values do not match.
Answer:
Not equal
Step-by-step explanation:
5+20=25, 4 x 2= 8. 25 is not equal to 8
The value of a computer decreases with its age, until it is worth nothing
A computer that was purchased new (age 0 years) for $2200 is worth
$1540 after 6 years.
The value of the computer after 8 years is what?
After how many years will it be worth nothing?
Answers
Answer:
it will be worth 880 dollars in 8 years, it will be worth nothing in 14 years
Step-by-step explanation:
help plzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer: 1
Step-by-step explanation:
QUESTION:
Describe how you would simplify and find the result of that simplification for the following expression?
9(4t+6)+3t
ANWSERS:
A.
Distribute the 9 to the 4t and 6: 36t+54+3t
B.
Distribute the 9 to the 4t and the 6, then combine like terms: 39t+54
C.
Multiply the 9 with the 4t and the 6, and then combine all terms: 93t
D.
Multiply to find 9 times 4t, and then move like terms beside each other: 36t+3t+6
Answers
Answer:
b.
Step-by-step explanation:
Combine like terms to simplify each expression. 7x+5x
Answers
Answer:
12x
Step-by-step explanation:
Answer:
12x will be the answer.
Step-by-step explanation:
7+5 is 12 x+x is x
Combining 12 with x will be 12x
How much INTEREST would an investment of $5000 earn if it has an interest rate of 6% and is invested for 20 years?
Answers
Answer:
$6000
Step-by-step explanation:
5000 times .06 = 300
300 times 20 = 6000
What's 1/3 of $19.95
Answers
Explanation: 1995/3= 6.65
Simplify: -51 -(-7)
-12
-2
29
please help.
Answers
Answer:
9/4
or
2.25
Step-by-step explanation:
hope this helps! have a great day!
What is the solution for x in the equation?
-4 + 5x - 7 = 10 + 3x - 2x
ОА.
21
1 =
OB.
OC.
13
1
OD.
1 =
4
21
Answers
Answer:
Step-by-step explanation:
OA. -1 OB. -4 oc. o OD. 16 OE-2 QUESTION 11 Find the particular solution to the differential equation dy - 4x dx y if y(1)=4 OA Y = 7x-3 OB. Y=2x2 + 14 Oc V=4x2 + 12 ODV= 2x+6 3 E. V=x? +3 Let f(x) = x4 - 3x3 + 3x? - 1. Find the intervals on which the graph of f(x) is concave down.
During the summer, Breanna works at a coffee shop. She saves 75% of her earnings to buy new school clothes. If Breanna earns $750, what is the best estimate for the amount of money she saves to buy clothes?
Answers
Answer: The best estimate for the amount of money she saves to buy clothes = $ 562.5
Step-by-step explanation:
Given: Breanna saves 75% of her earnings to buy new school clothes.
Earnings for Breanna = $ 750
The amount of money she saves to buy clothes = 75% of 750
= 0.75 x 750 [75%= 0.75]
= $ 562.5
Hence, the best estimate for the amount of money she saves to buy clothes = $ 562.5
whats the inverse of y = 2x − 9
Answers
Answer:
x=2y-9
Step-by-step explanation:
y−9=x2 - next you have to take square root of both sides: x=√y−9 - now we can write the inverse function returning to the conventional variable naming x as the independent variable and y as the function value. Answer: The inverse function is: y=√x−9
Thx for asking. :)
can someone help please :) i’ll mark brilliant
Answers
Answer:
X= 23 degrees
Step-by-step explanation:
117 degrees minus 94 equals x
x=23
write 37/99 as a decimal .
Answers
Answer:
Fraction Decimal Percentage
40/99 0.404 40.4%
39/99 0.3939 39.39%
38/99 0.3838 38.38%
37/99 0.3737 37.37%
Step-by-step explanation:
Answer:
0.3737
Step-by-step explanation:
Mrs. Schwinn spent $779.50 at a bicycle store. All prices listed below include tax.●She buys a new bicycle for $275.75●She buys 3 bicycle reflectors for $7.25 each and 1 bicycle helmet for $42●She plans to use the remaining money to buy new cycling outfits for $55 eachHow many cycling outfits can Mrs. Schwinn buy with the remaining money? Let x = _________________________________________________Equation:
Answers
Answer:
X =8
Step-by-step explanation:
779.50 - 275.75 = 503.75
503.75 - 42 = 461.75
3 * 7.25 = 21.75 = 440
440 / 55 = 8
HEY! PLEASE HELP ME WITH THIS MATH QUESTION! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU (you will also get points)
THANKS!!xoxo
Answers
Step-by-step explanation:
10.00 - 4.84 = 5.16
(Find how much Tim paid)
Since the torch costs 11 times as much, it is 11 units, and the battery costs 1 unit. So, 12 units is $5.16.
Find 1 unit which is the battery:
12 units = $5.16
1 unit = $0.43
Answer: $0.43
100 POINTS AND BRAINLIST NEEED ASAPPP:Use the picture of the function below to answer the following questions, Horizontal Asymptote(HA), Vertical Asymptote (VA), Domain, X-intercept, y-intercept, and end behavior.
Answers
Answer:
Concept: Graph Analysis
Horizontal Asy: 1 Vertical Asy: 4Domain: -inf to inf U -inft to inf X intercept: 7 Y intercept: 2 End behavior: Continous to real numbers, hence negative and positive infinityGive brainlistFor a given polynomial, a given zero is 2 + 5√3, what would be another zero? Ive tried to solve it myself but can't think of any ways to do it. If anyone could help, I'd appreciate it :)
Answers
Answer:
2 - 5√3
Step-by-step explanation:
This is because for a polynomial aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀ where n ≥ 2, there would always be a polynomial of at least degree n = 2.
Now, for a polynomial of degree n = 2, a₂x² + a₁x + a₀, the roots of the equation are in conjugate pairs if the discriminant a₁² - 4a₂a₀ is not a perfect square. So, we would have a surd in the root and thus a conjugate pair.
So given a zero of 2 + 5√3, its conjugate is 2 - 5√3 which is the other zero.
At the store. Jane bought a t shirt for $12.50 and a pair of jeans for $5.00 more than twice the price of the shirt. If she paid with a S50, how much change did she get back? Your answer 3 Type your answe Turn in
Answers
Help me With this I am so confused
Answers
Answer:
25
Step-by-step explanation: i got it right on ed
Answer:
153.6
Step-by-step explanation:
Density is how much matter an object has to its volume. Formula:
Density=Mass x Volume.
12.8 x 12=153.6
Hope this helps :)
The store manager of a clothing store receives a delivery of 4 boxes of jeans. Each box contains 15 pairs of jeans. The store manager checks all of the jeans and finds that 4 of them are defective. Based on those results, what can the store manager predict about the next delivery of jeans?
Answers
Answer:
The store manager can predict that the next box a jeans will be defective
Step-by-step explanation:
Considering he found 4 defective in the boxes he can predict that the next delivery will be defective as well
Verified by FaZe DoDo
please Solve: 1/4 x 3/8
Answers
Answer: 3 over 32, or 3/32.
Step-by-step explanation: Multiply the numerators, 1 and 3. 1x3 is 3.
Now, we multiply the denominators. 4 and 8. 4x8 = 32.
Now we combine the numbers and get 3/32.
Hope this helped, have a good day!
Write an expression for “k divided by four”.
Answers
Answer:
k/4
Step-by-step explanation:
The linear equation has
2x(1 + 2) - 6 = 5x - 6
A) no solution.
B) one solution.
C) two solutions.
D) infinitely many solutions.
Answers
Answer:
B) one solution.
Step-by-step explanation:
Step-by-step explanation:
one solution
I think it helps you
PLEASE HELP ASAP !!!
Megan plans to repair a certain number of pairs of shoes next week at work. The graph represents her plans.
SHOES REPAIRED
50
40
30
Number of
Pairs of Shoes
20
10)
0
5 10 15 20 30
Time (hours)
At what unit rate does Megan plan to repair shoes?
jpair per hour
В.
3 pairs per hour
C с
5 pairs per hour
Answers
Answer:
The answer is 5 dude.
Step-by-step explanation:
You cannot multiply 3 to get fifty
Answer:
C - 3 pairs per hour
Step-by-step explanation:
If she can repair 15 pairs in 5 hours, then we can divide 15 by 5 to find out how many she repaired in one hour. 15 / 5 = 3
Megan can repair 3 pairs of shoes per hour.
I am so sorry if this is the question you needed help with. I saw your comment on one of my answers a few hours after you said it because I wasn't on my computer at the time. I hope you got a good score. Again, I am really sorry if this was the question you needed help with.