please help with hegarty algebraic fractions and quadratic equations

Please Help With Hegarty Algebraic Fractions And Quadratic Equations

Answers

Answer 1

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex]

[tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex]

[tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex]

[tex] \sf 12 = {x(x + 4)} [/tex]

[tex] \sf {x}^{2} + 4x = 12[/tex]

[tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex]

[tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex]

[tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex]

[tex] \sf(x - 2)(x + 6) = 0[/tex]

Hence,

[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]


Related Questions

What is the answer please help

Answers

x would equal 9

mark me brianliest
Answer: Nine i think

Which number line model represents the expression -\dfrac23+\left(-\dfrac13\right)−

3

2



+(−

3

1



)minus, start fraction, 2, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis?

Choose 1 answer:

Answers

Answer:

: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2

Answer:

XD yall all ways doing this to me so yall somthings don't give me the Answer

Step-by-step explanation:

Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.

Answers

SANA MAKATULONG

#CARRYONLEARNING

Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =

Answers

Answer:

10

x

2

x

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

Have a nice day/night/afternoon.  

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if the nth term is 6-2n^2 what is the 4th term?

Answers

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.

Answers

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

Learn more about angle here:

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4square plus 2power of xdivide by 2 equal to 16 what is the answer of this question​

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]

Now we can solve for x:

1.  [tex]16 + 2^{x} = 32[/tex]

2. [tex]2^{x}=16[/tex]

3. [tex]x=4[/tex]

Which inequality is displayed on the number line?

Answers

Answer is B x values are greater than or equal to –2.

Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy

Answers

The number of soda bottles Katie bought is 6

The given parameters are:

Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

Read more about linear equations at:

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What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.

Answers

The common denominator of the given expression is [tex]5y+6.[/tex]

Given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].

We have to find the common denominator.

On solving the numerator and denominator of the  given expression,

[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]

       [tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]

[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]

Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]

Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]

For more details follow the link:

https://brainly.com/question/357568

Answer:

Not A 3y(y – 3)

Not B y(y – 3)

it is either C 3Y or D 3

can someone please help me with this

Answers

Answer:

cogratulation you're the best math

Help a girl out pls!!!

Answers

Answer: AA Similarity

Step-by-step explanation:

Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.

Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m​

Answers

Step-by-step explanation:

Volume of a cylinder=

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

Radius=84÷2=42

Volume=22/7×42²×150=831 600 cm³

(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.

Answers

Answer:

i think probably x = 1 or 5

Step-by-step explanation:

x²-6x+5 =0

so (x-1)(x-5) = 0

so x = 1 or 5

How many different terms are in the expression? 28s + 3t+ 6b + 21f

Answers

Answer:

4

Step-by-step explanation:

In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).

Does this graph represent a function? Why or why not

Answers

Answer:

C

Step-by-step explanation:

It passes the horizontal line test

Answer:

  B.  yes, it passes the vertical line test

Step-by-step explanation:

A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.

_____

A function maps any given x-value to only one y-value.

Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°

Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

What is 7/4+2/3
I can’t find the answer pls help

Answers

Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.

Combine the following expressions
2√18x^3 - 3√8x^3

A. -√x
B. 0
C.√x

Answers

This is what I have but it doesn't match with your answers

three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?

Answers

Answer:

Step-by-step explanation:

13500/3 = 4500

4500 x 2 = 9000

Your answer is 6,750

5 1/4 - 2 2/3 in fraction form

Answers

Answer:

6 1/10 (6.1)

Step-by-step explanation:

2 3/5 + 3 1/2  (2.6 + 3.5= 6.1)

2 6/10 + 3 5/10

5 11/10

6 1/10 (6.1)

1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?

Answers

Answer:

15x^3-70x^2+65x+30

Step-by-step explanation:

1) 5(3x+1)= (15x+5)

2) (15x+5)(x-2)=15x^2-25x-10

3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30

Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.

Answers

Answer:

560

Step-by-step explanation:

Rosie counts 324 + 236 shoes

Let's start by separating each number into hundreds, tens, and ones

300, 20, 4

200, 30, 6

Then, we can add up each section

300 + 200 = 500

20 + 30 = 50

4 + 6 = 10

Finally, we can add up the sections

500 + 50 + 10 = 560

a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.

Answers

Answer:

Warrior WiFi is better because it costs 167.50 for 175 texts.

Step-by-step explanation:

2x175 = 350 + 20 = 370

0.50x175 = 87.5 + 80 = 167.5

Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575

Answers

Answer: 125

Explanation
250x4=1000
1000 divided by 8 = 125
Answer:125 bookletsStep-by-step explanation:

1 ream = 250 papers

=> 4 reams = 250 x 4=> 4 reams = 1000 papers.

1 booklet = 8 papers

=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:

Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Evalute the expression X=6 y=-4 -3y+x

Answers

Answer:

y= 1/2

Step-by-step explanation:

      y=-4 -3y+x

<=> y + 3y = -4 + x

<=> 4y = -4 + 6

<=> 4y = 2

<=> y = 1/2

The answer is y=1/2 I’m sorry if it’s wrong

Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?

Answers

Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.

Marion read 616 pages and did this in 14 days.

She read the same number of pages each day so the number of pages read per day was:

= Number of pages read in total / Number of days

= 616 / 14

= 44 pages

In conclusion, she read 44 pages per day.

Find out more about divisional problems at https://brainly.com/question/13417862.

What is the equation 5x+6y=18 equal

Answers

Answer:

y = -5/6x + 3

Step-by-step explanation:

What are the other steps?

Answers

Answer:

63 degrees

Step-by-step explanation:

Angle IGH is 40 degrees because it is vertical to angle BGD.

Angle HIG is 77 degrees because it is a linear pair with CIH.

Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees

55) Carl spent 25% of his money for some presents. What percent
did he have left?

Answers

Answer:

75%

Step-by-step explanation:

In total it was 100%, but he spent 25%.

100% - 25%=75%

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