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:

https://brainly.com/question/10454590

#SPJ2


Related Questions

OMG PLZ HELP ME! it is due tomorrow.....!

Answers

Step-by-step explanation:

Dilations do not change your angles, so although the length does change, your angles will not. So for your answer, the angles will be the exact same.

For the length, all you have to do is multiply each side by 5/2.

8: Multiplied by 5/2 is 20

9: Multiplied by 5/2 is 22.5

7: Multiplied by 5/2 is 17.5

The lengths are getting larger because they're being dilated by a number greater than 1.

I hope this helps :)

Answer:

Answers bellow hope I helped

Step-by-step explanation:

A)Each angle is the SAME becouse we are just making the triangle larger but the angles stay the same so:

Z' = 50°

X' = 70°

Y' = 60°

B)You have to multiply each of the sides by your scale factor so:

Side X'Y' = 7 x 5/2= 17.5

Side X'Z' = 8 x 5/2 = 20

Side Z'Y' = 9 x 5/2 = 22.5

Carly is 8/11 the height of her mother, 2/3 the height of her father, 3/4 the height of her older sister, and 5/6 the height of her older brother. Carly is 48 inches tall.

What is the height of the Carly father?



HELP ME PLEASE

Answers

Okay, the answer is 32.
Have a great day!

Can someone help me solve pleaseeeee? Asap

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator

= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator

= [tex]\frac{4}{5}[/tex]

Helppppp please it’s timed

Answers

Answer:

Estimated population of New Hampshire is

A. 35,000

HURRY PLEASE
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studled
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?

Answers

Answer:

Crown the other person brainliest

Step-by-step explanation:

:)

The average length of a female dolphin is about 171 inches (in). What is this length in feet (ft) and inches (in)?

Answers

Answer:

14 feet and 3 inches

Step-by-step explanation:

Answer:

14.25ft

171 in

Step-by-step explanation:

please help me asap ​

Answers

Answer:

-18 10

5 -3

Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

Which table represents a linaer function

Answers

Answer:

Top left table

Answer:

the first one

Step-by-step explanation:

look at the picture if it does make sense let me know

Que funciones madre tienen su punto de inicio en el origen

Answers

Answer:

Funciones radicales

Step-by-step explanation:

Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.

similfy (6^(7))^(3) Thank you!

Answers

Answer:

6^21

Step-by-step explanation:

(6^7)^3 = 6^(7*3) = 6^21


Find the value of x.

Answers

x=5
x=20
x=142
:))))))))
The answer is 0.5!

Explanation

10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.

Answers

Answer:

do you have a picture or somthing beacuse i dont understand what your asking

Step-by-step explanation:

Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.

Step-by-step explanation:

There are 42 more red marbles in a jar than there are white marbles. If there are 238 marbles in the jar, how many of them are red and how many are white?



Answers

Answer: red marbles = 140

White marbles = 98

Step-by-step explanation:

Let the number of white marbles be represented by x

Since there are 42 more red marbles in a jar than there are white marbles, red marbles will be: = x + 42

Since there are 238 marbles in the jar, this can be represented in an equation as:

x + x+42 = 238

2x + 42 = 238

2x = 238 - 42

2x = 196

x = 196/2

x = 98

White marbles = 98

Red marbles = x + 42

= 98 + 42

= 140

Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?

Answers

Ik the first equation you just distribute three to north numbers and it’ll give you 9x+15 and in the second one you can distribute a negative 1 and it’ll give you 9x+15

Aiden got a loan for $600 that has a 5% simple interest for
2 years.

Answers

Answer:

The simple interest is $60 for 2 years

Step-by-step explanation:

1. 600*0.05=30

2. 30*2=60

PLEAS EHELP ILL GIVE BRAINLIEST

PLEASE SHOW ALL WORK AND BE SPECIFIC

Answers

Answer:

Where is the question? You didn't post it.

Homework help please

Answers

Answer:

[tex]V=868.13\ ft^3[/tex]

Step-by-step explanation:

Given that,

The side length of the base of the pyramid, a = 14.1 ft

The height of the pyramid, h = 13.1 ft

We need to find the volume of the pyramid. The formula for the volume of the square base pyramid is given by :

[tex]V=\dfrac{a^2h}{3}[/tex]

Put all the values,

[tex]V=\dfrac{(14.1)^2\times 13.1}{3}\\\\V=868.13\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]868.13\ ft^3[/tex].  

The following sequence is arithmetic. Fill in the missing terms.

12 , ? , ? , ? , 18, ? ...

Answers

Answer:

12,13.5,15,16.5,18,19.5

Step-by-step explanation:

just add 1.5

12. Solve for x. x = ___________

Answers

Step-by-step explanation:

this is math right what grade is this

Which order pair could represent the location of point h

Answers

What does the work look like first

Based on the table, which function models this situation?

Answers

Answer:

F(n) =-3n+24

Step-by-step explanation:

Help me please I need this by 5:00 help me please

Answers

Answer:try doing the method

Step-by-step explanation:

A= Base Side

B= Base Side

C=Base Side

H=Height

HOPE THAT HELPS!

can yu write a linear equation for this

Answers

Answer:

Step-by-step explanation:

Answer: 0.5x + 5 = 20Please mark as brainliest for future answers :)

Answer:20

Step-by-step explanation:

HELP!!! answer quickly pls

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

A circle has a radius of 11 meters. What is the area of the circle?

Answers

Answer:

A≈380.13 m²

Step-by-step explanation:

looked it up

Answer:

A= 380.13 m²

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

A= [tex]\pi[/tex]x[tex]11^{2}[/tex]

A= 380.13

how do i write the product of q and 11 as an algebraic expression

Answers

Answer:

since the product meaning multiplication, it basically means 11 (q) which is 11q.

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

find the slope between the given two points​

Answers

Slope can be found using the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

7) Let:

[tex](x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}[/tex]

Slope: [tex]-\frac{4}{5}[/tex]

8) Let:

[tex](x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1[/tex]

Slope: [tex]1[/tex]

9) Let:

[tex](x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0[/tex]

Slope: [tex]0[/tex]

10) Let:

[tex](x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}[/tex]

Simplify the slope. Divide common factors from both the numerator and denominator:

[tex](\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}[/tex]

Slope: [tex]\frac{3}{4}[/tex]

11) Let:

[tex](x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =[/tex] undefined.

Slope: undefined

12) Let:

[tex](x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}[/tex]

Slope: [tex]-\frac{9}{4}[/tex]

~

What is the order of these numbers from least to greatest?

4.03 4.3 4.003

Answers

The order is 4.003 then 4.03 then 4.3

PLEASE HELP I WILL MARK BRAINLIEST

Answers

It would be -108 feet

Hope this helps :)

(Would love brainliest)
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