Answers
Answer:
[tex]\frac{1}{axy}[/tex]
Step-by-step explanation:
[tex]\frac{xy}{a^2+a^3}[/tex] × [tex]\frac{a+a^2}{x^2y^2}[/tex] ( factorise denominator and numerator of 2 fractions )
= [tex]\frac{xy}{a^2(1+a)}[/tex] × [tex]\frac{a(1+a)}{x^2y^2}[/tex]
Cancel (1 + a) from both fractions
= [tex]\frac{xy}{a^2}[/tex] × [tex]\frac{a}{x^2y^2}[/tex]
Cancel a and xy from both fractions
= [tex]\frac{1}{a}[/tex] × [tex]\frac{1}{xy}[/tex]
= [tex]\frac{1}{axy}[/tex]
a ≠ 0 , x ≠ 0 , y ≠ 0
as this would would make the function undefined
Answer:
Step-by-step explanation:
[tex]\dfrac{xy}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]
Apply the fraction rule [tex]\dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a \times c}{b \times d}[/tex] :
[tex]\implies \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]
Cancel the common factor [tex]xy[/tex] :
[tex]\implies \dfrac{(a+a^2)}{xy(a^2+a^3)}[/tex]
Factor [tex](a+a^2)=a(1+a) \ \ \textsf{and} \ \ a^2+a^3=a^2(1+a)[/tex] :
[tex]\implies \dfrac{a(1+a)}{xy \cdot a^2(1+a)}[/tex]
Cancel the common factor [tex]a(1+a)[/tex] :
[tex]\implies \dfrac{1}{axy}[/tex]
I think the "if" part is a, x and y cannot equal zero, as otherwise the expression will be undefined.
So I would put: [tex]x\neq 0; y\neq 0, a\neq 0[/tex]
Related Questions
hi guys can u help me with this
Answers
Hello.
The first fraction is
[tex]\displaystyle\frac{9}{15}[/tex]
Both the top and bottom can be divided by 3:
[tex]\displaystyle\frac{3}{5}[/tex] (Simplest Form)
Next fraction:
[tex]\displaystyle\frac{15}{40} =\frac{3}{8}[/tex]
We divided the top & bottom by 5.
Next:
[tex]\displaystyle\frac{20}{35}[/tex]
Divide the top & bottom by 5:
[tex]\displaystyle\frac{5}{7}[/tex]
Next:
[tex]\displaystyle\frac{12}{20} \\\text{Divide by 4:}\\\displaystyle\frac{3}{5}[/tex]
Next:
[tex]\displaystyle\frac{44}{48} =\frac{11}{12}[/tex]
Next:
[tex]\displaystyle\frac{5}{60} =\frac{1}{12}[/tex]
Next:
[tex]\displaystyle\frac{10}{24} =\frac{5}{12}[/tex]
next:
[tex]\displaystyle\frac{25}{30} =\frac{5}{6}[/tex]
next:
[tex]\displaystyle\frac{10}{18} =\frac{2}{9}[/tex]
next:
[tex]\displaystyle\frac{28}{40} =\frac{14}{20} =\frac{7}{10}[/tex]
[tex]\displaystyle\frac{8}{10} =\frac{4}{5}[/tex]
[tex]\displaystyle\frac{3}{9} =\frac{1}{3}[/tex]
[tex]\displaystyle\frac{15}{20} =\frac{3}{4}[/tex]
[tex]\displaystyle\frac{6}{9} =\frac{2}{3}[/tex]
[tex]\displaystyle\frac{20}{32} =\frac{5}{8}[/tex]
[tex]\displaystyle\frac{5}{35} =\frac{1}{7}[/tex]
[tex]\displaystyle\frac{2}{8} =\frac{1}{4}[/tex]
[tex]\displaystyle\frac{2}{20} =\frac{1}{10}[/tex]
[tex]\displaystyle\frac{33}{36} =\frac{11}{12}[/tex]
[tex]\displaystyle\frac{15}{40} =\frac{3}{8}[/tex]
[tex]\displaystyle\frac{32}{36}=\frac{8}{9}[/tex]
[tex]\displaystyle\frac{14}{20} =\frac{7}{10}[/tex]
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
Álgebra 1 please help!!!
Answers
Answer:
a. geometric sequence
b. an = 5(2)^n-1
c. an+1 = an x 2
Step-by-step explanation:
The sequence: 5, 10, 20, 40,...
a. The sequence is geometric because the sequence has a common ratio of 2, each number is made by multiplying the previous number with the common ratio (2).
b. The explicit formula for this sequence is an = 5(2)^n-1
The explicit formula for a geometric sequence is
an = a1 (r)^n-1
Substituting that with the values we know, we will get
an = 5(2)^n-1
c. The recursive formula for this sequence is an+1 = an x 2
The recursive formula for a geometric sequence is
an+1 = an x r
Substituting for the values we know, we get
an+1 = an x 2
Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it
Use a protractor to draw a pentagon so that the bottom side is horizontal and the left and right sides are perpendicular to the bottom side. The angles formed at the top left and right sides each measure 146°. What is the measure of the fifth angle?
A. 57°
B. 63°
C. 68°
D. 74°
Answers
Answer: 68
Step-by-step explanation:
Answer:
the answer is 68
Explanation:
#7 please help i don’t know what i’m doing and i have to show work
Answers
Answer:
Answer is 6x-13
Step-by-step explanation:
Given
XZ=8x-18 and RZ=2x+5
XR=XZ-RZ
8x-18-2x+5
8x-2x-18+5
6x-13Ans
100.11256 round to the nearest 10th
Answers
Answer:
100.10000
Step-by-step explanation:
Because tenth is 1rst number behind decimal so 1. and 1 is asking it's neighbor hundredths/1 for helps and since 1 is 4 and below it can't go up so it stays the same at 1.
Hope it helps have a great day:)
A petrol pump can hold enough petrol to supply 80
cars with 35 litres each. How many cars can it
supply with 50 litres?
Answers
Brandon buys a radio for $44.97 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent.
Answers
Answer: If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal
Step-by-step explanation:
Find the value 3x-2 when x=4
Answers
Answer:
10
Step-by-step explanation:
Substitute 4 for x to solve the expression:
[tex]3x-2\\3(4)-2\\12-2\\10[/tex]
I need HELP ASAP, this is about Pythagorean theorem. HELP ASAP NOWWWW!!!!1111
Answers
Answer:
30
Step-by-step explanation:
The Pythagorean Theorem is c2 (c squared) = a2 (a squared) + b2 (b squared).
The side lengths (24 and 18) can be plugged in for a and b. C is the length of the hypotenuse.
24 Squared + 18 Squared= c squared
Use a calculator to help you.
24 squared is 576
18 squared is 324
So, 576+324=c squared
Simplify
900=c squared
Now use the squre root on both sides to get rid of the c squared. (use a calculator)
30=c
a basket when empty weight 350g it contains 60 seeds each weigh 250mg what is the total mass of the baskets in seed in kilograms
Answers
Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.Divide the 250mg by 1000g to get 0.25g. Multiply 0.25g by 60 to get 15g.Add 15g to the weight of the empty basket, 350g. You should end up with 365g.The question asked for kilograms so divide 365g by 1000.The final answer is 0.365kg.I hope this explains it and helps :)
Answer:Answer:
0.365 kg
Step-by-step explanation:
The first I did was turn the 250mg to grams so the conversion factor would be 1 milligram = 0.0001 gram.
Divide the 250mg by 1000g to get 0.25g.
Multiply 0.25g by 60 to get 15g.
Add 15g to the weight of the empty basket, 350g. You should end up with 365g.
The question asked for kilograms so divide 365g by 1000.
The final answer is 0.365kg.
I hope this explains it and helps :)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
A national appliance store chain is reviewing the
performances of its 400 sales associate trainees.
How can the store choose a representative
sample of the trainees?
Answers
Answer:
d
Step-by-step explanation:
If 50 witches drank a potion that makes 2 of them selfs how much withces will be there?
Answers
Answer:
100
Step-by-step explanation:
if you are doing this you need to do 50x2 which in this case equals = 100
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answers
Answer:
The answer is B.
Step-by-step explanation:
Point A is on (-6,7) is you move it two left and 2 up it changes to the point (-8,9)
Hope this helped.
A brainliest is always appreciated.
Solve for x. Round your answer to the nearest tenth.
30
33
x
Answers
Step-by-step explanation:
it's an isosceles triangle
ht will intersect the base at 90°
so x^2 =33^2+15^2
x = 36.2
Junior bought a work truck for $13,000. The value of his truck will depreciate, or decrease, by 15% each year. Which recursive formula models the value of his truck after each year?
Answers
The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (0.85)ⁿ
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Junior bought a work truck for $13,000.
And, The value of his truck will depreciate, or decrease, by 15% each year.
Hence, We get;
The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (1 - 15/100)ⁿ
⇒ 13,000 (1 - 0.15)ⁿ
⇒ 13,000 (0.85)ⁿ
Thus, The correct recursive formula which models the value of his truck after each year is,
⇒ 13,000 (0.85)ⁿ
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Use the graph to answer the question.
A first quadrant coordinate plane is shown. Triangles P Q R and S T U are graphed with their hypotenuses on the line passing through the origin and the points P, R, S, and U. The angles at points Q and T are right angles. The vertices of the triangles are at: P, two comma one, Q, four comma one, and R, four comma two, and S, six comma three, T, twelve comma three, and U, twelve comma six.
What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle?
Enter the correct answer in the box.
Answers
Answer:
vertical : horizontal = 1 : 2
Explanation:
UT, vertical length: 3 units
ST, horizontal length: 6 units
Therefore vertical length : horizontal length = 3 : 6 = 1 : 2
Answer:
1:2
Step-by-step explanation:
Triangle PQR has a vertical side of 1 and a horizontal side of 2.
so the ratio is vertical : horizontal is 1:2
Triangle STU has a vertical side of 3 and a horizontal side of 6.
so the ratio is vertical : horizontal is 3:6
which can be reduced by dividing both sides by 3
so the ratio is vertical : horizontal is 1:2
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
2 m
The circumference of the circle is about
m.
The area of the circle is about
m2.
Answers
Answer:
that's circumference is probably 11
Which of the following functions is nonlinear?
A. f(x)=1/5x-2
B. f(x) = 10x+100
C. f(x)= |3x -8|
D. f(x) = x
Answers
Answer:
C. f(x)= |3x -8|
Step-by-step explanation:
*view attached graph*
The number of words in the three dictionaries is 1200. How
many words are there in 8 such dictionaries?
Answers
this is pretty simple! there are three dictionaries.
if all three dictionaries together have 1200 words, then each dictionary will have 1/3 of 1200 words. this is 400.
if each dictionary has 400 words, eight dictionaries will have 400*8 which is 3200 words.
Hollyville Elementary is having a pizza party. The school secretary plans on ordering 25 pizzas. There are 10 classes in the school. If each class is given pizzas, is 25 pizzas enough for the entire school? If so, how much pizza, if any, will be left over? If not, how many more pizzas will they need?
1, Yes, 25 pizzas are enough. There will be 2 pizzas left over.
2, No, 25 pizzas are not enough. They need 2 more pizzas.
3, No, 25 pizzas are not enough. They will need 1 more pizza.
4, Yes, 25 pizzas are exactly enough. There will not be any pizza left over.
Answers
a Martin took a tax from his home to the airport. The taxi driver charged an initial fee of $9.00 plus $2.75 per mile. The total fare was $50.25, not including the tip. How many miles did Martin travel by taxi on this ride?
Answers
15 miles
Steps:
9 + 2.75x = 50.25
Subtract 9 from both sides.
2.75x = 41.25
Divide both sides by 2.75.
x = 15
Give 3 pairs of prime numbers that add up to 50
Answers
Answer:
3 and 47
7 and 43
19 and 31
Step-by-step explanation:
Prime numbers up to 50:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Therefore,
3 + 47 = 50
7 + 43 = 50
19 + 31 = 50
Last year 950 people attended a town's annual parade. This year 1,520 people
attended. What was the percent increase in attendance from last year to this year?
Answers
Answer:
Original #: 950
New #: 1,520
If it is percent of increase, you would do new amount - original amount over original amount.
1,520 - 950 / 950 = 570 / 950
0.6 or 60%
Tell whether x=6 is a solution of x−1 ≤ 7.
Answers
Answer:
x = 6 is a solution of x - 1 [tex]\leq[/tex] 7.
Step-by-step explanation:
First, plug in x = 6 into the inequality.
x - 1 [tex]\leq[/tex] 7 for x = 6
6 - 1 [tex]\leq[/tex] 7
Now, solve.
6 - 1 = 5
5 [tex]\leq[/tex] 7
The statement above is true, so x = 6 is a solution to x - 1 [tex]\leq[/tex] 7.
Please inform me of any mistakes.
Solve the equation -18=1/4y
Answers
Answer:
Solution=−72
Step-by-step explanation:
Combine multiplied terms into a single fraction−18=14−18=14. Multiply by 1. Multiply all terms by the same value to eliminate fraction denominators. Cancel multiplied terms that are in the denominator. Multiply the numbers. Move the variable to the left.
You were playing fetch with your dog and accidentally
threw the toy and it got stuck on the roof of your house.
You leaned the ladder against your house at a 30° angle
of elevation. The foot of the ladder is 7 feet from the foot
of the house. How long is your ladder?
Answers
You leaned the ladder against your house at a 30 degrees angle -> This create a right triangle, with a 30 degree angle and your ladder is the hypotenuse.
The foot of the ladder is 7 feet from the foot of your house -> The opposite side = 7 feet
In a right triangle, the side that is opposite to a 30 degree angle = 1/2 of the hypotenuse
Since your ladder is the hypotenuse, and the opposite side is opposite to the 30 degree angle, your ladder is 7 x 2 = 14 ft long.
position number 1 6 2 7 3 8 4 9 n ? Consider the sequence in the table. Which formula gives the number that would be in the nth position of the sequence? A) 5n B) 10n C) n + 5 D) n - 5
Answers
Answer:
C)
Step-by-step explanation:
Given:
[tex]a_1=6=1+5\\\\a_2=7=2+5\\\\a_3=8=3+5\\\\a_4=9=4+5[/tex]
[tex]\implies a_n=n+5[/tex]
4) For every 3 notebooks Sally bought, she was given 1 free. Sally spent $12 and
received 8 notebooks. How many notebooks would she get if she had spent $130?
Answers
pleaseeee help meeee!!
Answers
Answer: 5,400 cubic feet
Step-by-step explanation: Multiply 90 x 15 x 4 to find the volume. Although I multiplied 15 and 4 first because I know off the top of my head that it equals 60, and 60 x 90 = 5400 cubic feet
HELP DUE IN 5 mins The company ordered boxes of concrete nails weighing 3.35 kgs each and a box of 2.5 kgs of screws. The eight construction workers each received a box of nails and each worker used 1.23 kgs of concrete nails yesterday. What is the weight of the concrete nails left in each box? If the concrete nails were put together in a big toolbox, how much would the concrete nails weigh?
Answers
Answer: See below
Step-by-step explanation:
Weight of concrete nails - weight of concrete nails used = weight of concrete nails left
3.35 – 1.23 = 2.12
Weight of concrete nails left * number of workers = total weight of concrete nails
2.12 x 8 = 16.96
There are 2.12 kgs of concrete nails left in each of the boxes and there are 16.96 kgs of concrete nails altogether
