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

2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?

Answers

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)

Expand the following expressions and write in standard form. Show your work.

a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)

Please help!!!!

Answers

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2

QUICK I NEED HELP….PLZ Hurry!! ;-;

Which equation represents a liner function

Equation 1: Y=2x+1
Equation 2: Y^2= 3x+1
Equation 3: y=5x^5-1
Equation 4: Y= 4x^4-1

Answers

Answer: Equation 1: Y=2x+1

Step-by-step explanation:

Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.​​

Answers

Answer:

if you want simple answer then check second picture

Step-by-step explanation:

,

Need help ASAP! Problem and directions in picture;)

What is the value of ?

Answers

We know, an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. Therefore, Angle V + Angle U = Exterior Angle T

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

(4z^7+1/z^7)^2 how do i solve this?

Answers

Answer:

if i am correct this is the formula you asked?

[tex](4z^7+\frac{1}{z}^7)^2[/tex]

Step-by-step explanation:

the answer is

[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]

if i put the wrong equation tell me so i can do it again

:)

what is 3 1/3, 3.337,33/10,3.11 from least to greatest

Answers

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

Two numbers are in a ratio 11:7. If the smaller number is 700, what is the larger number? Pls tell with steps

Answers

Answer:

The larger number is [tex]1100[/tex]

Step-by-step explanation:

Let larger number be [tex]x[/tex]

We have

[tex]\frac{x}{700} =\frac{11}{7} \\\\x=100\times11\\\\=1100[/tex]

Answer:

The larger number is 1100.

Step-by-step explanation:

Solution :

Let the,

>> Larger number be 11x. >> Smaller number be 7x.

Now, According to the question :

[tex]\begin{gathered} \dashrightarrow\sf{Smaller \: number} = \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{7x}= \tt{700} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{700 \div 7} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{ \dfrac{700}{7} } \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{x}= \tt{\cancel{\dfrac{700}{7}}} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow \sf{x}= \tt{100} \end{gathered}[/tex]

Hence, the value of x is 100.

Now, calculating the larger number :

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11x} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{11 \times 100} \end{gathered}[/tex]

[tex]\begin{gathered} \dashrightarrow\sf{Larger \: number} = \tt{1100} \end{gathered}[/tex]

Hence, the larger number is 1100

[tex]\rule{300}{1.5}[/tex]

F(x)=-2x+4 g(x)= -2x^3 -3

find f(4) and g(-3)

simplify as much as possible

Answers

f(4)= -4 and g(x)= 213

How many beads would the jeweler need to make 10 bracelets?

Answers

Answer:

50 ?

Step-by-step explanation:

You didn't give any detail about how many beads it takes to make one bracelet

How do u Keep change change this number???

1.3 - -300=????

I don’t know what to do

Answers

1 .3 - -300
1.3 + 300
301.3

Simplify, and Write answer without parentheses

Answers

Answer:

w^18

Step-by-step explanation:

exponents are multiplied when there is a parenthesis between them

Answer:

[tex]w^{18}[/tex]

Step-by-step explanation:

the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.

four ninths minus four tenths equals blank ?

Answers

Answer:

2/45

Step-by-step explanation:

Can someone help me, please? :(((

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

Area of Triangle + Area of rectangle

And,

Area of Triangle :

[tex] \sf \dfrac{1}{2} ( 7 \times 6)[/tex]

Area of Rectangle :

[tex] \sf7 \times 3[/tex]

Therefore, the Area of whole figure is ~

[tex] \boxed{ \sf (7 \: • \: 3) + \frac{1}{2}(7 \: • \: 6)}[/tex]

So, the Correct choice is ~ A

35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?

Answers

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

which one is not congruent SSS,SAS,AAS,ASA,HL?

Answers

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3

Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions

7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side

21x - 7 - 5x = 105

16x - 7 = 105 ( add 7 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution

[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]

= [tex]\frac{21-1}{5}[/tex] - 1

= [tex]\frac{20}{5}[/tex] - 1

= 4 - 1

= 3 = right side

Then x = 7 is the solution to the equation

Help me with this


-22*3 +12*2 -6*2 +4+2​

Answers

The answers is -48 if you need me to show my work or explain it to you just ask

[tex]\red{\bf{ {Answer = \: \: - 48}}} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-22 \times 3} + \underbrace {12 \times 2} - \underbrace {6\times 2} + 4 + 2[/tex]

We carry out the three multiplications.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-66 \: + \: 24} \: - \: 12 \: + \: \underbrace {4 \: + \: 2}[/tex]

Now we make the ones that are marked.

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-42} \: \: - 12 \: \: + \underbrace {6} \: \: [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \underbrace {-36 \: \: \: - \: \: \: 12}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf -48[/tex]

A car travels at an average rate of speed of 60 miles per hour for 72 hours. How many miles does
this car travel?

Answers

Answer:

4320 miles

Step-by-step explanation:

distance= speed× time

60 ×72= 4320

-7ab + 6b - 3ab - 4b - 3ab

Answers

the answer is -13ab+2b! hopefully this is right, sorry if it’s not

Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.

Answers

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

i don't understand how to do this someone help me math!!

Answers

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  [tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

Find the 62nd term of the arithmetic sequence
15, 13, 11, ...

Answers

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]

-0.7=-7/9z help me pleasseeee!​

Answers

The answer is 0.9 if z is in the numerator and if it is in the denominator it is 1/9

helppppppppppppppppppppppppppppppppppppppp

Answers

4 in each and 2 left

-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr

Answers

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

2=2m​−7 SOLVE FOR M PLS AND THANK YOU

Answers

Answer:

m = 4.5

Step-by-step explanation:

2 = 2m - 7

add 7 to both sides

9 = 2m

divide by 2 on each side

4.5 = m

CHECK:

2 = 2(4.5) -7 (TRUE)

2 · 4.5 = 9

9 - 7 = 2

I hope this helps!

Answer:

m=4.5

Step-by-step explanation: First, add 7 to each  side and you get 9=2m. divide each side by 2 and you get m=4.5

Please help me with this problem I will give brainpower to the first person that answers this correctly with an explaination

Answers

Alright so, I need to points bro

Hi!

To solve this, we can set up an equation. If L, the length, is 3 less than 2 times W, the width, it would look like this. L = 2w - 3

Now, the perimeter equation is L + L + w + w = 48, so we plug in the L's and get this:

2w - 3 + 2w - 3 + w + w = 48

Now solve, add like terms:

6w - 6 = 48

add 6 to both sides

6w = 54

divide both sides by 6

w = 9

The width is 9, and the length is two times this minus 3, so 2(9) - 3 = 18 - 3 = 15

Therefore your width is 9 and your length is 15

Hope this helps! :D

It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?

Answers

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

Write the equation 5x + 2y = -6 in general form.

Answers

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

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