Number 11 instructions are to simplify

Number 11 Instructions Are To Simplify

Answers

Answer 1

Answer:

  a/(a-4)

Step-by-step explanation:

Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.

___

  [tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]


Related Questions

I need help please!!!!

Answers

Answer:

297 ft squared

Step-by-step explanation:

find the area of the triangle, which is (bh)/2

(22*7)/2=77

find the area of the rectangle (bh)

22*10=220

add

77+220=297

Which sequence of transformations shows that Figure A is similar to Figure B?



Rotate Figure A 180º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

Reflect Figure A across the y-axis, then dilate it with the center at the origin and a scale factor of 12.

Dilate Figure A with the center at the origin and a scale factor of 2, then translate it to the left 4 units.

Answers

Answer:

That would be the second option:  Rotate Figure A 90º about the origin, then dilate it with the center at the origin and a scale factor of 2.

-yOuR nEiGhbOrhOoD cLEaNeR ;)

before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school

Answers

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

If I were to be walking 8MPH How fast would I be walking per minute? PLEASE HELP. (Hint: Half of 8MPH is 4, so that would be 4 Miles every 30 minutes.)

Answers

Answer:

0.13 miles per minute

Step-by-step explanation:

If you walk 8 miles in an hour, that is 8 miles per 60 minutes. We can divide 8 by 60 to get the miles per minute because there are 60 minutes in an hour. 8/60 = 0.13 (3 is repeating)

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number.
Find the number(s).

Answers

Answer: [tex]\frac{12}{19}[/tex]

The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

The algebraic equation becomes =

[tex]\frac{36}{x+3}-20 = 4x\\[/tex]

We simplify the equation to find the value of x.

[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]

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Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?

Answers

How much time do seniors at a school spend playing sports? (option A)  is a statistical question.

What is a statistical question?

A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.

In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."

A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.

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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Perimeter of rectangle = 14x - 2

Area of rectangle = 10x² + x - 2

Step-by-step explanation:

Finding the perimeter of the rectangle:

⇒ Perimeter of rectangle = 2(L) + 2(B)

⇒ Perimeter of rectangle = 2(2x + 1) + 2(5x - 2)

⇒ Perimeter of rectangle = 4x + 2 + 10x - 4

Perimeter of rectangle = 14x - 2

Finding the area of the rectangle:

Area of rectangle = LB

⇒ Area of rectangle = (2x + 1)(5x - 2)

⇒ Area of rectangle = 10x² - 4x + 5x - 2

Area of rectangle = 10x² + x - 2

Answer:

Perimeter = 14x - 2

Area = 10x² + x - 2

Step-by-step explanation:

Formulae

Perimeter = 2W + 2L  Area = W x L

(where W is the width and L is the length)

Given information

width = 2x + 1length = 5x - 2

Perimeter

⇒ Perimeter = 2(2x + 1) + 2(5x - 2)

                     = 4x + 2 + 10x - 4

                     = 14x - 2

Area

⇒ Area = (2x + 1)(5x - 2)

             = 10x² - 4x + 5x - 2

             = 10x² + x - 2


If an investment has a 5% annual interest rate and it is compounded
monthly, how many years will it take to double in value?

Answers

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

Question 8 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
O A. What may be false
O B. None of these
O C. What may be true
O D. What must be true

Answers

Answer:

The answer is D.) What must be true

Step-by-step explanation:

Deduction is a phrase that refers to drawing conclusions based on a well-established premise. This is when you use logic to assess points based on a set of rules and conditions. You describe how the scenario might follow the rules. As a result, there is no incorrect deduction. If you evaluate it and find it to be true, it must be correct. I hope this helps! ^-^

F(X)=2(X-1)^2-4 in standard form

Answers

Answer:

[tex]f(x)=2x^2-4x-2[/tex]

Step-by-step explanation:

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

[tex]\begin{aligned}f(x) & =2(x-1)^2-4\\& =2(x^2-2x+1)-4\\& = 2x^2-4x+2-4\\& = 2x^2-4x-2 \end{aligned}[/tex]

Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)

Answers

Here is how it is graphed:

help me with this math question​

Answers

x= 0.84106.. + 27n, r = 7 - 0.84106.. + 27n

[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]

[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]

[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]

Graph 1 on the numberline?

Answers

Answer:

directly before 5/4

Step-by-step explanation:

graph a straight vertical line directly before 5/4

or maybe it's just asking for where the value 1 should is and it's the same.

Answer:

It is the line to the left of 5/4

Step-by-step explanation:

it goes 5/4 then 4/4 or 1 then 3/4,  2/4, 1/4 then 0

Find the missing sides (pls)

Answers

Across any line is 180 degrees. To opposite angles have the same value.
153 is 180-27. So c and b equal 153.
This make since angle looks more than 90 (corner of paper)
Mark as best!

Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

what is the volume of the cylinder when the height is 13m and the radius is 10m

Answers

V≈ 4084.07m³ is the answer

what is 7/5 as a simple thing?

Answers

In decimal form: 1.4
In mixed number form: 1 2/5

i cant figure this problem can you guys help/i cant figure this problem can you guys help?

Answers

Answer:

50.0in²

Step-by-step explanation:

C=2πr

25.12/2π=r

r=3.99(taking π=22/7)

Area=πr²

=22/7×(3.99)²=50.0in²

What 2x4
Beacuse I need help on how to soulf it

Answers

Answer:

Its 8

Step-by-step explanation:

who can help me with my math

Answers

Step-by-step explanation:

I am always available to help, post your worry

Simplify the expression.

Answers

Answer:

Step-by-step explanation:

Exponent rule:

[tex]\boxed{(a^{m})^{n}=a^{m*n}}[/tex]

[tex](x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\[/tex]

           [tex]=x^{2*2}\\\\=x^{4}[/tex]

What is the slope of the line that passes through the points (-4, 13) and (6, -17)

Answers

the slope is -3 if you use the formula (y2-y1)/(x2-x1)

Find the surface area of this figure.

Answers

Answer:

66550000000 in.²

Step-by-step explanation:

22³in x 10⁴in x 5⁴in = 66550000000 in

In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?

Answers

Answer: 244 degrees

Step-by-step explanation:

Suppose a 8-year loan for principal amount
$8500
was taken out. Over the life of the loan
$3400
was paid. If interest did not compound, what was the interest rate per year?

Answers

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans

Answers

The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

On average 113,204 aluminum cans are recycled in a minute approximately.

Then the number of cans can be recycled in 16 days.

[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]

More about the multiplication link is given below.

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Answer:

its not C just took test and it didnt tell me answer

Step-by-step explanation:

4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!

Answers

The system of equations of the number of bottles in both classes has two distinct equations

Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

How to solve the system of equations?

The given parameters are:

Mr. Sanchez = $1.73

Mr. Kelly = $1.44

Represent the number of bottles in both classes with x and y,

So, we have the following equations

1.73x + 1.44y = 130.83

x + y = 83

Next, we plot the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (39,44)

Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

Read more about system of equations at:

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Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?

Answers

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

What is a rectangle?

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

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Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.

Answers

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

More about the statistics link is given below.

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Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

Answers

Answer:

Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8

A-18x+15

You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00

Answers

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

Your answer is..:

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

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