Hence, write as single
frachon in its lowest terms.
2/y-1 - 4/y^2-1

Answers

Answer 1

Answer:

[tex]\frac{2}{y+1}[/tex]

Step-by-step explanation:

Factorise the denominator of the second fraction

y² - 1 = (y - 1)(y + 1) ← difference of squares

To obtain a common denominator

multiply numerator/ denominator of first fraction by (y + 1)

= [tex]\frac{2(y+1)}{(y-1)(y+1)}[/tex] - [tex]\frac{4}{(y-1)(y+1)}[/tex] ← subtract numerators leaving the common denominator

= [tex]\frac{2y+2-4}{(y-1)(y+1)}[/tex]

= [tex]\frac{2y-2}{(y-1)(y+1)}[/tex]

= [tex]\frac{2(y-1)}{(y-1)(y+1)}[/tex] ← cancel common factor (y - 1) on numerator/denominator

= [tex]\frac{2}{y+1}[/tex]


Related Questions

PLEASE HELP ME PLEASEEEEE

Answers

Answer:

56.52 units³

Step-by-step explanation:

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

r = 3 units ; h (height) = 2

V = 3.14 × 3² × 2

= 3.14 × 9 × 2

= 56.52 units³

Question 83 pts
Given that 2 Al + 6 HCl → 2 AlCl3 + 3H2

UR ON TIMER GO FASTtt How many moles of hydrogen are produced if we start from 2.2 mol Al and 4.2 mol HCl?
2.1
mol H2

How many moles of excess reactant are left over?

Answers

Answer:

Ummm I dont know what subject it is so i will guess 2.3?

Step-by-step explanation:

I'm Sorry im really useless

Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

What is the cost of each eraser?

Answers

The answer is a $1.50

Answer:

1.50

Step-by-step explanation:

Find the AOS, vertex and sketch the parabola.
5) y=-x2 + 4x+3
vertex:
AOS:

Answers

I got

Vertex = (2,7)

A.O.S = X = 2

6 Find the Surface Area of the below image. 4 cm 10 cm 7 cm Part A There are pairs of rectangles in this Rectangular Prism. ​

Answers

Answer:

I think the surface area is 276 if I'm not mistaken hope this helps!

What is congruent in this problem?

Answers

Answer:

Step-by-step explanation:

SVT and TVU

Hope that helps!

29 = 3t + cos(t) solve for t

Answers

Answer: t ≈9.9543..

Step-by-step explanation:

Answer:

T= 9.6... or 10

Step-by-step explanation:

29= 29/3

=9.6...

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton of sugar. The second company charges $7143 to rent trucks plus an additional fee of $175.75 for each ton of sugar.​

Answers

Answer:

14 tons of sugar

$9603.5

Step-by-step explanation:

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Let

x = ton of sugar

Company A:

7500 + 150.25x

Company B:

7143 + 175.75x

1. Equate company A and company B

7500 + 150.25x = 7143 + 175.75x

7500 - 7143 = 175.75x - 150.25x

357 = 25.50x

x = 357/25.50

x = 14 tons of sugar

2. Cost when both companies charge the same

Company B:

7143 + 175.75x

= 7143 + 175.75(14)

= 7143 + 2460.5

= 9603.5

Company B = $9603.5

Company A:

7500 + 150.25x

= 7500 + 150.25(14)

= 7500 + 2103.5

= 9603.5

Company A = $9603.5

11) Help pls I have the answer I just need to show the work.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

Answer: A

Answers

True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!

You charge $2 per square yard to paint.Which equation can you solve to find the amount you will charge to paint a triangular wall with a base of 4 yards and a height of 6 yards?

Answers

Answer:

2(1/2 x 4 x 6) = x

expaination:

area of triangle = 1/2 x 2 x 6 sq yards

multiply by $2/sq yard

Answer: $24

Step-by-step explanation:

The formula for a triangle is 1/2 times base times height

so 0.5 x 4 x 6

0.5 x 4 = 2

2 x 6 = 12

12 x $2 = 24

so you charge $24 dollars

Hope this helps.

The table shows the possible outcomes for choosing one rose and one tulip.

A 3-column table with 3 rows. Column 1 has entries Yellow rose, white rose, red rose. Column 2 is labeled purple tulip with entries (P, Y), (P, W), (P, R). Column 3 is labeled Orange tulip with entries (O, Y), (O, W), (O, R).

How many total possible outcomes are there?
5
6
9
11

Answers

Answer:

6

Step-by-step explanation:

Took the test

Answer:

6

Step-by-step explanation:

Find the area of the yellow region.
Round to the nearest tenth.
5 ft
Area = [ ? ] ft2

Answers

Answer:

yellow area = 5.37 ft²

Step-by-step explanation:

area of square = L x W = 5 x 5 = 25 ft²

radius = 2.5 ft

area of circle = PiR² = (3.14)(2.5²) = 19.63 ft²

25 - 19.63 = 5.37 ft²

The area of the yellow region is 5.375 square feet.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the side of a square = 5 feet and radius of a circle = 2.5 feet.

Here, area of a square = side²

= 5²

= 25 square feet

Area of a circle = πr²

= 3.14×2.5²

= 19.625 square feet

So, the area of the yellow region = 25-19.625

= 5.375 square feet

Therefore, the area of the yellow region is 5.375 square feet.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

WILL MARK BRAINLIEST!!!!!!!!!
what is 5/1 as a whole number

Answers

Answer:

5

Step-by-step explanation:

5÷1

i m not sure but i like its ans

Complementary angles are two angles whose
measures add to 90°. The ratio of the measures of
two complementary angles is 7:11. What are the
measures of the angles?

Answers

Answer:

let the two complementary angles be x and 90-x

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

Answer:

Step-by-step explanation:

Say thanks

mark brainlist

and rate 5!

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

it 1 print is = to 2 cups,then 5 prints would = ____ cups​

Answers

Answer:

5 pints = 10 cups

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 * 2 = 10


i’ll give brainliest help a girl out

Answers

Answer:

ST, WX

Step-by-step explanation:

Answer:

ST and WX are congruent

A rectangular prism has a volume of 80 cubic feet. The length of the prism is 8 feet and the height of prism is 4 feet. What is the width of the prism?

Answers

Answer:

2.5

Step-by-step explanation:

8 times 4 is 32, and 80/32 is 2.5. When you have to find another measurement and you know 2 of them, you just have to divide the total of the 2 measurements with the volume. it would be 2.5 feet as the height.

What will be the linear equation for the shown table?

Answers

Answer:

y=2x+5

Step-by-step explanation:

To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)

So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2

Slope = 2, now find b

So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5

Put it all together y = 2x + 5

Brian earns $5 per hour babysitting. He makes a graph and plots what he
earns for different numbers of hours. He places the number of hours he
works on the x-axis and his earnings on the y-axis. What is the slope of the
line that Brian graphs?

Answers

Answer:

The slope of the line is 5

Step-by-step explanation:

When we talk of the slope of a straight line graph, we refer to the rate at which the values on the y-axis changes as a ratio of the changes we have on the x-axis

Now, from the question, number of hours is placed on x-axis, while we have the amounts on the y-axis

having $5 per hour means the rate of change of what is earned to number of hours worked is 5 and this is the slope of the line

What is 5 4/7 as an improper fraction

Answers

Answer:

39/7

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

7 × 5 = 35

Step 2

Add the answer from Step 1 to the numerator

35 + 4 = 39

Step 3

Write answer from Step 2 over the denominator

39/7

Find the equation of the linear function represented by the table below in slope-intercept form. The table is in the picture below

Answers

y=4x+1 is the correct answer!! :)

Answer:

Y = 4x + 1

Step-by-step explanation:

1 × 4 + 1 = 5

2 × 4 + 1 = 9

3 × 4 + 1 = 13

4 × 4 + 1 = 17

Help me please, thank you!

Answers

Answer:

8

Step-by-step explanation:

18-10=8 units

Answer:

 8

Step-by-step explanation:

The total height of the rectangle and triangle is given as 18

The height of the rectangle is given as 10 , then

height of triangle = 18 - 10 = 8

A woman is four times older than her daughter,eight years later their age bracket would be 74 and 18 respectively.What is their present ages

Answers

Answer:

Step-by-step explanation:

w is less than or equal to 4 and greater than or equal to -8

Answers

Answer:

[tex]4 \geqslant w \geqslant - 8[/tex]

Graph this: y = 2sIn(x) - 3

Insert picture of graph

Answers

Answer:

We have the function:

f(x) = 2*sin(x) - 3

To graph this type of functions is useful to understand the parts of the function.

A general one is written as:

g(x) = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency.

p is the phase

M is the midline.

Then in this case we have an amplitude of 2, an angular frequency of 1, a phase of 0 radians and the midline y = -3

Now we can evaluate the function in different points and (knowing how a sine function behaves) connect them, the graph will look something like this:

Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)

so I think it's equal to but can someone verify it for me?

Answers

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

PLEASE HELP ASAP!!! will mark brainliest
dont answer if u dont know and no links

Answers

Answer:

9 sq un

Step-by-step explanation:

solve for x in example 2. x =_________
10x+20=145​

Answers

First you need to take away 20 so you subtract that and then subtract 20 to 145 also

10x + 125

Now you have to take away 10 from x and since it’s multiplying you need to divide it by 10, and you have to divide ten to 125 as well.

x = 12.5

Hope this helps <3

A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle

Question 2 options:

A. acute


B. obtuse


C. right


D. it does not make a triangle

Answers

Answer:

Obtuse

Step-by-step explanation:

x = missing angle

20+30+x=180

50+x=180

x=130

90<130

Thus, the triangle is obtuse

Consider the line 7x+8y=-5.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Answer:

Step-by-step explanation:

7x + 8y = -5

       8y = -7x - 5

Divide the whole equation by 8

[tex]\frac{8y}{8}=\frac{-7x}{8}-\frac{5}{8}\\\\y =\frac{-7}{8}x-\frac{5}{8}[/tex]

Parallel lines have same slope

Slope of the parallel line = (-7/8)

Slope of the line perpendicular to this line = -1/m  = -1 ÷ (-7/8)

                                                                      [tex]= (-1)*\frac{8}{-7}\\\\= \frac{8}{7}[/tex]

 

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