Simplify the expression to lowest terms. 4x^2 - 9/2x^2+11x+12

Answers

Answer 1

Answer:

(2x - 3)/(x +4)

Step-by-step explanation:

Given the expression 4x^2 - 9/2x^2+11x+12

Simplify the numerator

4x^2 - 9 = (2x)^2 - 3^2

Recall that a^2 - b^2 = (a-b)(a+b)

Hence 4x^2 - 9 = (2x - 3)(2x + 3)

The denominator

2x^2+11x+12

Factorize

2x^2+11x+12 = 2x^2+8x + 3x+12

=2x(x + 4) + 3(x + 4)

= (2x + 3)(x + 4)

Hence

4x^2 - 9/2x^2+11x+12 =  (2x - 3)(2x + 3)/(2x + 3)(x + 4)

= (2x - 3)/(x +4)


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i need help !!!!!!!!!!!!!!!!!!!

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Answer:

117 yards is the approximate distance

Step-by-step explanation:

What quadrilaterals diagonals are congruent but neither of them is bisected by the other.

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Answer:

rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other

What benchmark Fraction equals
13 7/12 + 11 5/8

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Answer:

Step-by-step explanation:

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 14
and DC = 7, what is the length of BC in simplest radical form? (Note: the figure is
not drawn to scale.)

Answers

You got same mine is the that on the quiz

using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6, -27 < -6​

Answers

Answer:

-89

Step-by-step explanation:

using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6,

#2 pls I’ll give braniest to whoever replies first, I’m not sure about number 2 pls help.

Answers

Answer:

D) 525

Step-by-step explanation:

hope this helped!!

Answer:

D, ($525)

Step-by-step explanation:

The cost for 1 adult is $75, and you are trying to solve for 7 adults.  So basically, all you need to do is 75x7.  The answer is D.  

Solve the equation below for X
1/3(-x + 3) = -x - 4

Answers

Solve the equation below for X

1/3(-x + 3) = -x - 4

Answer: x = -15/2 = -7.500

Work~~

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3*(-x+3)-(-x-4)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  1              

 (— • (3 - x)) -  (-x - 4)  = 0

  3              

STEP

2

:

Equation at the end of step 2

 (3 - x)    

 ——————— -  (-x - 4)  = 0

    3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

             -x - 4     (-x - 4) • 3

   -x - 4 =  ——————  =  ————————————

               1             3      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -x - 4  =   -1 • (x + 4)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3-x) - ((-x-4) • 3)     2x + 15

————————————————————  =  ———————

         3                  3  

Equation at the end of step

4

:

 2x + 15

 ———————  = 0

    3  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x+15

 ————— • 3 = 0 • 3

   3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x+15  = 0

Solving a Single Variable Equation:

5.2      Solve  :    2x+15 = 0

Subtract  15  from both sides of the equation :

                     2x = -15

Divide both sides of the equation by 2:

                    x = -15/2 = -7.500

One solution was found :

x = -15/2 = -7.500

Find the slope of the line between each pair of points (7, -4) and (7, -1)

Answers

Answer:

the slope is -3/0, which is undefined

Step-by-step explanation:

subtract the ys and subtract the xs and put y/x

anything divided by 0 is a math error (not to b confused with 0 divided by, which is just 0)

Hope this helps :)

Sixty-four teams entered a citywide soccer tournament. Half of the teams are eliminated after each round. Write a function for the number of teams left after x rounds.

Answers

Answer:

x = (64 ÷ 2) ÷ r

Step-by-step explanation:

x = teams

r = rounds

hope this helps :)

Answer:

f(x)=-1/2x+64

Step-by-step explanation:

a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64

I need help it’s this if you awnser correctly I will mark you

Answers

Answer:

b, x = 17

Step-by-step explanation:

A right angle (as shown by the box in the corner of the angle) is 90°.

So, the two angles have to add up to 90°.

22 + 4x = 90

Subtract 22 from both sides.

4x = 68

Divide both sides by 4.

x = 17

The answer is b, 17

Hope this helps! Feel free to ask any questions! :)

Answer:

B.) 17

Step-by-step explanation:

90-22=68

68/4=17

Brainliest please

A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.

Answers

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

There is 3/4 of an apple pie left from dinner, Tomorrow, Victor plans to eat 1/4 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.

Answers

Answer:

2/4??..

Step-by-step explanation:

Please don't really use this answer because it is random

A six sided number cube is tossed five times and each time the number 3 is rolled. If the cube is tossed one more time, what is the probability the number 2 will appear?

Answers

Answer:

1/6

Step-by-step explanation:

Every time you roll a die, there's a 1 in 6 chance that you're gonna roll any given number on the die

Marta told Maribel “The sum of fifty and half the number of oranges is the same as one-hundred-twenty.” Maribel wrote 50 (one-half) + m = 120 What is her error?

Answers

Answer:

Her error was that the half should have been multiplied by m, instead

[tex]50 + \frac{1}{2}m = 120[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = 50[/tex]

[tex]Rate = 0.05[/tex]

[tex]Days = n[/tex]

So, we have:

[tex]Base\ Amount + Rate * days = 120[/tex]

[tex]50 + \frac{1}{2}m = 120[/tex]

Hence, the error in her workings is that she should have pre-inform her before God and man.

Answer:

C - The One-half should be multiplied by m.

Step-by-step explanation:

Its right on edge

If Sophie gets $26.00 and Jack gets four times the amount as Sophie. How much do Jack get?​

Answers

Answer:

he gets 104$

Step-by-step explanation:

104 dollars

26x4=104

Answer:

Step-by-step explanation:

Times means multiple so 26 x 4 and that equals 104. $104 dollars would be your answer.

solve for x 1/4 x equals 5​

Answers

Answer:

gcccccccccccccccccccccccccccccccccccccccccccccccccccavrfcxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqer

Step-by-step explanation:

18. There are 5 numbers in a data set. One of the numbers is 11. If it is
changed to 6, then the mean will become 11. Find the original mean.​

Answers

Answer:

The original mean is 12

Step-by-step explanation:

factorise fully 9b-3b2

Answers

Answer:

3b(3-b) is the answer

Step by step explanation : take out the most common factor which is 3b

Hello please answer :) will give brainlst

Answers

Answer:

D. In a chemical change, a new substance forms.

Step-by-step explanation:

The chemical reaction produces a new substance with new and different physical and chemical properties.

(hope this helps :P)

Someone please help and explain will mark brainliest

Answers

Answer:

Lee earns 2x.

They both earn 3x.

Step-by-step explanation:

If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.

please answer :) will give brainlst

Answers

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

Twice a number X exceed 5 by atleast 4 find all possible value of x​

Answers

Answer:

x≥4.5

x is all number greater than or equal to 4.5

Step-by-step explanation:

2x≥5+4

2x≥9

x≥9/2

x≥4.5

x is all number greater than or equal to 4.5

2 in.
Find the surface
area of this figure.
2 in.
8 in.
[?] square inches
8 in.
5 in.
12 in.
10 in.

Answers

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

Solve the equation for all real solutions. t^2-7t+16= t

Answers

Answer:

t=4

Step-by-step explanation:

Calculator (Factoring)

Graph the equation. y=3(x+1)^2-2
HELP!!

Answers

Answer:

look at the sceenshot how you put the graph in

Step-by-step explanation:

What percent of 48 is 20?
Pleaseee

Answers

Answer:

41.6666% is a required percent of 48 is 20

20/48×100%=41.6666%

Marley's flight is scheduled to travel 2,937 miles in 5.5 hours. At what rate
will the plane have to travel to complete the trip on time?

Answers

Answer:

534 miles every 1 hour

Step-by-step explanation:

A certain insect can beat its wings 180 times per

Answers

The equation would be

y= 180x

n/10 + 8 = 12. Mental Math Solve the equation​

Answers

Answer:

= 4 0

Step-by-step explanation:

/ 1 0 + 8 =1 2

/1 0+ 8 − 8 = 1 2 − 8

SIMPLIFY

1 0 = 4

Multiply all terms by the same value to eliminate fraction denominators

1 0 = 4

1 0 ⋅ /1 0= 1 0 ⋅ 4

Simplify

n=40

Hello please answer :) will give brainlst

Answers

Answer:

A. It is an atom

Step-by-step explanation:

That shows CO2 in the form of an atom

Answer:

D

Step-by-step explanation:

The answer is compound because a compound is a mixture of the two or the formed final product. It is basically the final result after adding those two together. It's also known as your solution. It isn't C a mixture because a mixture would just be a mix of the the molecules they wouldn't be bonded(attached to one another).

Hope this helps you out :)

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