Solve the rational equation 4 divided by x equals quantity 3 times x plus 2 end quantity divided by x squared, and check for extraneous solutions.

Solve The Rational Equation 4 Divided By X Equals Quantity 3 Times X Plus 2 End Quantity Divided By X

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Step 1: Write equation

[tex]\frac{4}{x}=\frac{3x+2}{x^2}[/tex]

Step 2: Solve for x

Cross multiply: [tex]4x^2=x(3x+2)[/tex]Distribute x: [tex]4x^2=3x^2+2x[/tex]Subtract 3x² on both sides: [tex]x^2=2x[/tex]Subtract 2x on both sides: [tex]x^2-2x=0[/tex]Factor: [tex]x(x-2)=0[/tex]Solve: [tex]x = 0, 2[/tex]

Step 3: Check

Plug in x to verify it's a solution.

Substitute: [tex]\frac{4}{0}=\frac{3(0)+2}{0^2}[/tex]Evaluate: undef (cannot divide by 0)

Substitute: [tex]\frac{4}{2}=\frac{3(2)+2}{2^2}[/tex]Evaluate: [tex]2=\frac{6+2}{4}[/tex]Evaluate: [tex]2=\frac{8}{4}[/tex]Evaluate: [tex]2=2[/tex]

Related Questions

What is an advantage of using a check book

Answers

you can keep track of all the checks/money you have spent on other ppl.

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx

Answers

We need to find the integration of (36x²)x.dx .

We know,

[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]

Now,

[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]

Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .

Hence, this is the required solution.

Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left

Answers

Answer:

1/2

Step-by-step explanation:

Well first lets break it down into steps!

We have 1 cake.

Brother ate: 1/8

Mom ate: 1/8

Dad ate: 1/4

Now we know that 1/8 + 1/8 = 1/4.

So her brother and mom combined ate 1/4th of the cake.

Her dad also ate 1/4th.

So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.

1/2 of the cake is left.

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

I need to find the value of y

Answers

ok check this out

its a simple equation from my analysis

given the equation of the vector line 3y-4=28

just an algebraic simplification might help

3y=28+4

3y=32

y=1Answer: y=10.6667

Step-by-step explanation:

y=10.6667

How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!

Answers

Answer:

multiply or divide both quantities by the same number

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions

Answer:

1. True

5/7= 0.714285

20/28= 0.714285

2. False

11/13= 0.846

22/25= 0.88

What is the answer to this problem?

Answers

Answer:3

Step-by-step explanation:

C = 2()r

2*3.14 = 6.28

18.84 / 6.28

=3

If correct pls give brainly

the answer is 3 may i please get brainliest

area and percent . ​

Answers

Answer:

a. 61.92 in²

b. 21.396 ≈ 21.4%

c. $4.71

Step-by-step explanation:

a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out

Area of rectangular piece of stock = 24 in × 12 in = 288 in²

Area of the two circles = 2(πr²)

Use 3.14 as π

radius = ½*12 = 6

Area of two circles = 2(3.14*6²) = 226.08 in²

Amount of waste = 288 - 226.08 = 61.92 in²

b. % of the original stock wasted = amount of waste ÷ original stock × 100

= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%

c. 288 in² of the piece of stock costs $12.00,

Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288

= 1,356.48/288 = $4.71.

baby weighs 4kg when born. at 6 months it weighs m kg. write expression for the weight gain of baby over 6 months​

Answers

Answer:

gsgdysbdhydsh jz jsjsjeueheyshsusjdhhdjdhdud7

Step-by-step explanation:

hsgshshhshjsjshsjsnseusjsuusjdhddhdydhdhshhsus hjdshsdjdjusisisos kejhfkzbudhuedje3hxue26r2ztedstzvy

Answer:

Wiki Biki Kiki mc mf you

Can anybody graph y= —2x + 5.

Answers

Answer:

The y-intercept is 5 so that is where it will start then just keep going down by 2 since the slope is (-2)

hope this helps =3

In the figure shown, r l l s

Answers

I think it’s B because if <2 is congruent to <6, <6 would equal 146 degrees. <6 and <7 are supplementary, which means they add up to 180 degrees since they form a straight line. If <6 is 146 degrees, <7 would have to be 34 degrees.

3 of 5
Simplify as far as possible without a calculator.
33(272+273)

Answers

Answer:

17,985

Step-by-step explanation:

33(545)= 17,985

Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.

Answers

Answer:

Step-by-step explanation:

x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

A certain company are that you must be at least 18 years of age

Let x be the age of employees.

x must be at least 18 years of age.

x≥18

We use ≥ symbol when atleast is used, which means it can be 18 or more than that.

Now employees more than one job-related work experience

Let x be the work experience.

x>1

Here we use > because its given that it should be greater than 1.

Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Could it be zero? 4(x+2)=10
2. 12-8x=3(x+4)

Answers

Answer:

1) x=0.5

2 x=0

Step-by-step explanation:

Question No. 1

4(x+2)=10

4x+8=10

4x=2

x=0.5

Question No. 2

12-8x=3(x+4)

12-8x=3x+12

8x-3x=12-12

5x=0

x=0

22.35 written form using proper words

Answers

twenty-two and thirty-five hundredths

11. Use an inequality symbol (<, >, 2, =) to compare -26
O A.
O B. =
O C.<
O D.>

Answers

Answer:

c. <

Step-by-step explanation:

-26 < (less than) 54

-3 times (7+(-3) to the second power) divided by 3

Answers

Answer:

-18

Step-by-step explanation:

Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.

Answers

Answer:

vfgvygfvygybgybgybgybvgybgyvbg

Step-by-step explanation:

cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf

Answer:

5÷n

Step-by-step explanation:

5÷n will tell you how much it is for each notebook

There was a 6 square foot piece of wrapping paper for a birthday present

Answers

where's the rest of question so I can help?

Can you please sent the full information that you need help with?

To find the solution to the equation using factoring, we need to first write it in standard form.
Which of the following choices is equivalent to the equation:
(x - 3)(x + 5) = 10

x^2 + 2x - 5=0
x^2 + 8.2 – 25 = 0
x^2 + 2x – 25 = 0
x^2 + 2x + 5 = 0

Answers

Answer: the answer is x^2+2x-25

Step-by-step explanation:

Use distributive property

Multiply the two x’s by each other

Multiply the first x by +5

Multiply the -3 by x

Multiply the -3 by +5

You have x^2+5x-3x-15=10

Move the 10 to the left side and simplify

x^2+2x-25

Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12

The height of the solar panel is given by the binomial below.
x+3

What is an expression for the length of the panel?


A.x^2+6x+9

B.x+3

C.x^2+3

D.x+4

Answers

Answer:

im not sure hmu if gets answered

Step-by-step explanation:

If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.

Answers

Answer:

A. There are two complex roots

Step-by-step explanation:

Just took the test

If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

Discriminant of quadratic equation

The discriminant of a quadratic equation is given as;

[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]

A discriminant of negative 8 falls with last category in the solution above.

[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]

[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]

Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614

How are 18:3 and 6:1 equivalent ratios

Answers

Answer:

You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.

18:3  and 6:1  are equivalent ratio because two ratios are in proportion

Given :

We are given with two ratios 18:3  and 6:1

We need to show that two ratios are equal

Lets take ration 18:3

Both 18  and 3  are divisible by 3

We can write the ratio in fraction form

[tex]\frac{18}{3} \\[/tex]

When we divide both top and bottom by 3  , we get

[tex]\frac{6}{1}[/tex]

we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]

Hence, the ratios are equivalent ratios

18:3  and 6:1  are equivalent ratios

Learn more : brainly.com/question/18431407

Help me ASAP please

Answers

from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear

I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear

Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H

Answers

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer: Yup A.........

tim has two spinners

Answers

“Tim has two spinners”
Tim has two spinners.

1/2 mi = 880 yd
O True
O False



Help

Answers

Answer:

True

Step-by-step explanation:

1,760 yds = 1 mile, 1,760 ÷ 2 = 880

Find the midpoint of the segment with the following endpoints. (5,4) and (1,7)​

Answers

Answer: wait one sec

Step-by-step explanation:

Answer:

(3,5.5)

Step-by-step explanation:

(x₁+x₂)   (y₁+y₂)

--------    --------

   2           2

5+1         7+4

  6           11

------        ------

 2             2

   (3, 5.5)

-3 divided by 1/6 =
1. 18
2. -18
3. -2
4. -1/2

Answers

Answer:2. -18

Step-by-step explanation:

Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)

Answers

Answer:

Here's the parallel line: y = 5x - 4

4x-5 that will be the exact answer
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