Mathematics High School

a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2

Answers

Answer 1
3/(5x) + 1/(x+2)

to give them the same denominator,
multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
now we have
3x+6/(5x)(x+2) and 5x/(5x)(x+2)
adding the numerators gives us

8x+6/(5x)(x+2)
therefore a=8 and b=6
Answer 2

The value of a and b are a=8 and b=6 respectively.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given the expression as

3/(5x) + 1/(x+2)

We have to multiply 3 by (x+2) and 1 by (5x)

3(x+2) = 3x+2 and 1(5x)= 5x

Now we have

3x+6/(5x)(x+2)

5x/(5x)(x+2)

Now adding the numerators gives us

8x+6/(5x)(x+2)

Therefore a=8 and b=6

Learn more about factorization here:

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Related Questions

What are the slope and y-intercept of line r and line s?​

Answers

Answer:

S y-intercept (0,2)

R y intercept (0,0)

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 6.5 ft, rounded to the
nearest tenth of a cubic foot?

Answers

Answer:

Answer:574.9ft^3.

Step-by-step explanation:

radius (r) = 6.5feet

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14 x (6.5) ^3

Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5

Volume = (2x3.14x6.5x6.5x6.5) ➗ 3

Volume=1724.645 ➗ 3

Volume=574.9ft^3

The volume of a hemisphere with a radius of 6.5 ft, rounded to the

nearest tenth of a cubic foot is 574.9ft^3.

What is the volume of a hemisphere?

The volume of a hemisphere that has radius r can be calculated as

[tex]2/3\times \pi \times r^3[/tex]

It is given that the hemisphere

radius (r) = 6.5feet

π=3.14

The volume of a hemisphere

=[tex]= 2/3\times \pi \times r^3\\\\= 2/3 \times3.14\times (6.5) ^3\\\\2/3 \times3.14 \times6.5 \times6.5 \times6.5\\\\1724.645 /3\\574.9ft^3[/tex]

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Find the number that makes the ratio equivalent to 1:8.
8:
Submit

Answers

Answer:

8:64

Step-by-step explanation:

1*8 = 8

so if we do the number under 1 (8) times 8 the ratio will be consistent

So 8*8 or 8² is 64

Hope I helped (p.s. maybe brainlest answer)

What is the name given to the point (0,7)
A.Just a plain point
B. Y - Intercept
C. Vertex
D.Root

Answers

The answer is B. Y intercept

A rental company charges $8 per hour to rent a kayak plus a $12 rental fee. If Margerie spent $44, for how many hours did she rent the kayak?​

Answers

4 hours she spent .............:

Answer:

4

Step-by-step explanation:

44-12=32 divide then 4

A circular mirror has a radius of 14 inches. What is the area of the mirror? Use 3.14 for π (pi). Round to the nearest tenth.

Answers

I hope this helps you

Area=pi. r^2

Area =3,14.(14)^2

Area =3,14.196

Area =615,4

615,4 that’s the answer

A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change

Answers

Answer:

The percent of change is 22.22%.

Step-by-step explanation:

You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:

percent of change=((1,100-900)/900)*100

percent of change=(200/900)*100

percent of change=22.22%

According to this, the answer is that the percent of change is 22.22%.

Can Someone PLSSS help me on this math homework from 12-16

Answers

The answer is negative 4

Please help me with this question

Answers

Answer:

pt A' is (2, 4)

Step-by-step explanation:

need help with logs problem pls asap i’ll mark u brainlist

Answers

You must use this formula: A= P(1+r) power of t
P=starting price
r= rate in decimal form
t= number of years

Since you own the jersey for 1025, that will be P.
The rate is 14% or 0.14.
The number of years is calculated by subtracted 2028 and 2022 (today’s date), which is 6.
A=1025(1.14) power of 6. Plug that in a calculator and you have your answer. You may need to round to the nearest hundredth, the question does not specify.

A second recipe calls for 2/3 cup of sugar for every 1/2 teaspoons of vanilla. What is the unit rate of cups per teaspoon?

Answers

Answer: The answer is 4/3 the original answer is 1 and 1/3 but if you simplify it you get 4/3

-hopes this helps<3

Step-by-step explanation:

Can someone help me with this please

Answers

Step-by-step explanation u just have to add them all the same ok

A magazine has 96 pages. There are advertisements on 75% of the pages. How many of the magazine’s pages do not have advertisements

Answers

To get this you multiply 96 x .75 which gives you 72. 72 is the amount of advertising pages so subtract 96-72 which gives 24. So it’s 24 pages that are not advertising

What is 2 times 200 - 321 + 67= 56-65



jameskeeton04 pls talk to me

Answers

Answer: 2*200-321+67=56-65? look at the picture

Step-by-step explanation: Hope this help :D

Answer:

-9

Step-by-step explanation:

2 x 200 = 400

400 -321 = 79

79 + 67 = 146

56 - 65 = -9

Please let me know if this helps.

What is another way to describe an event with a probability of 1?

Answers

Answer:

Likely to get it.

Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

Hopes this makes sense!

A rectangle is plotted on a coordinate plane. The four vertices are located at (−5,5), (−5,−3), (2,5), and (2,−3). What is the area of the rectangle?

The area of the rectangle is ______ square units.

Answers

Answer:

56 square units

Step-by-step explanation:

I'd recomend using something like "Desmos" to plot the points so then you can see the points and the rectangle. Then count the length and width. For the this rectangle the length was 8 and the width was 7, multiply these and you get the answer of 56 sqaure units.

Which coupon gives you a better deal on the ps5? (Explain why as well)

Answers

Answer:

30%

Step-by-step explanation:

500 - $30 = $470

30% of 500 is 150

500-150=350

How many students chose tiktok?
Please give it explanation

Answers

45 choose tiktok. In the graph it’s counting by 10s while in the middle are 5s.

Answer:

about 35% of the 120 students which means 42 students picked it .

The circumference of a circle is 27.004 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

r = 4.3

What is the answer and can you please explain how to do the work.

Answers

Answer:

28in

Step-by-step explanation:

you cut the face in shapes you recognize how to do the area of. Then find the numbers of the shapes that might be missing, then add them all up.

I see a rectangle, square, and square.

A = 10×2

A = 20in

A = 2x2

A = 4

A = 2x2

A = 4

add the areas up you get 28in

-4x = -28
I need an answer...

Answers

Answer:

x = 7

Step-by-step explanation:

-4x/-4 = -28/-4

x = 7

Please answer i don’t know

Answers

The answer is A.
Hope this helps!

A_______ represents data through pictures of objects.
(Data,Tally,Bar graph, Pictograph)​

Answers

Answer:

Pictograph

Step-by-step explanation:

If the area of a rectangular garden is 6[tex]x^{2} -9x[/tex]
what is the length if the width is 3x?

Answers

2x - 3

If you divide 6x^2 -9x by 3x you get 2x-3

What is the length of a segment with endpoints (2, 5) and (10, 11) *

•5 units
•8 units
•10 units
•14 units

Answers

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

ok now this hehehe, i just wanna see if im correct.

Answers

Answer:

x = 49.4°

Steps:

given: m∠EFG = 90°

tan(x) = FG/EF

tan(x) = 10.5/9

tan(x) = 7/6

tan(x) = 1.166..

x = tan⁻¹(x)

x = tan⁻¹(1.166..)

x = 49.39.. ≈ 49.4°

What is the surface area of this figure?

Thanks in advance!

Answers

Answer:

24 cm ²  B.

Step-by-step explanation:

if the triangle is a right triangle he I know it

do 4*3=12 the /2 so 6

8-4=4  4*1.5=6  

3*4=12

12+6+6

24 I think

AHH HELP ME PLEASE!!!!!!!

Answers

Ok 23/4=23/4 ok ok ok ok ok ok ok

why is the petrol price cheaper at coastal than inland

Answers

Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST

Answers

Answer:

-Entire triangle region : 120 sq.cm

-Area of semi circle : 100.53 sq.cm

-Entire composite figure : 220.53 sq.cm

Step-by-step explanation:

Area of triangle = ½ × base × height

= ½ × (8+8) × 15

=½ × 16 × 15

= 120 sq.cm

[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]

=100.530.......

=100.53 sq.cm (rounded to 2 decimal place)

Area of entire figure = 120 + 100.5353

= 220.53 sq.cm

Hope I could help:))

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