Melanie used cross multiplication to correctly solve a rational equation. She found one valid solution and one extraneous solution. If 3 is the extraneous solution, which equation could she have solved?


A. The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.


B. The equation is x-3/4 = 2x-6/4x because 3 makes a numerator equal zero and is a solution if the equation derived from cross multiplying.


C. The equation is 8/x^2-9 = 5/2x-6 because 3 makes the denominator equal zero and is a solution of the equation derived from cross multiplying.


D. The equation is 8/x+3 = 12/4x-3 because 3 is a solution of both the original equation and the equation derived from cross multiplying.

Answers

Answer 1

Answer:

The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying. ( A )

Step-by-step explanation:

The equation is 4/x-3 = x/10 because 3 makes a denominator equal zero and is not a solution of the equation derived from cross multiplying.

An extraneous solution is a solution that is derived from an equation that is not the original equation and when its value is plugged back into the original equation it isn't a root of the equation


Related Questions

Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have to pay?
A.
$817.48
B.
$819.48
C.
$821.41
D.
$822.48
E.
$825.41

Answers

Answer: for plato users .

B. $819.48

Step-by-step explanation:

Question 10 (1 point)
Give the slope-intercept form of the equation of the line that is perpendicular to
6x – 3y = 10 and contains P(5,3).

Answers

Slope1 * 1\slope2= -1 when line 1 is normal to line 2

Slope of first line (6x-3=10) = -2

Slope = 0.5

0.5X-2.5=y-3

Y= 0.5x+0.5

Y= 0.5(x+1)

2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?

Answers

96
2400*.04
96
you are welcome

Zoe paid 18.60 in sales tax and tips for dinner. The sales tax is 11% and she tipped 20%. What was the price of Zoe’s dinner before sales tax and tip?

Answers

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

Sales tax = 11% * original price = 0.11 * x= 0.11xTips for dinner = 20% * original price = 0.20 * x = 0.2x0.11x + 0.2x = 18.600.31x = 18.60x = 60$60 was the price of Zoe's dinner, before sales tax and tip.

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

1. Sales tax = 11% times original price = 0.11 times x= 0.11x

2. Tips for dinner = 20% times original price = 0.20 times x = 0.2x

3. 0.11x + 0.2x = 18.60

4. 0.31x = 18.60

5. x = 60

6. $60 was the price of Zoe's dinner, before everything else

Find the value of each variable listed.

Answers

Answer:

a = 90

b = 28

c = 68

d = 22

Step-by-step explanation:

[tex]a = 90[/tex]

[tex]d=22[/tex]

[tex]22+90=112[/tex]

[tex]180-112=68[/tex]

[tex]c=68[/tex]

[tex]62+90=152[/tex]

[tex]180-152=28[/tex]

[tex]b=28[/tex]

On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?

Answers

200 * 0.40 = 80
80 children

Answer:

80 children

Step-by-step explanation:

(200 * 40) /100 = 80

1) Slope = -4, y-intercept = 2

Answers

What’s the question?

!!!!PLEASE I NEED HELP PLEASE ANSWER 1 AND 2! PLEASE ANSWER CORRECTLY ASAP!!!!

Answers

1 would be A and 2 would be zero

Tra'Niyah spent half of the money she made babbysitting on mew shoes. If she baby sat for 6 hours and charged $8.75 per hour, how much money did she have left after shoe shopping

Answers

Answer:

She has $26.25 after shoe shopping

Step-by-step explanation:

if you multiply $8.75 by 6 hours, you get $52.50

then divide that by 2 and you get $26.25

Answer:

26.25 dollars

Step-by-step explanation:

8.75x6= 52.50

52.50/2 equals 26.25

Order the set of integers from greatest to least.
{-100, -89, -124, -69, -52}

Answers

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

Answer:

-124,-100,-89,-62,-52

Step-by-step explanation:

If the number is a high number and it's a negative it is the least. For example, if you have $-100 in your bank account, that's worse than having $-52. I hope this helps.

table, proportional or non-proportional?

Answers

B) is the answer hope this helps

PLEASE HELP Consider the rectangle reduction.


A larger rectangle has a length of StartFraction 17 over 8 EndFraction inches and width of StartFraction 11 over 6 EndFraction inches. A smaller rectangle has a length of StartFraction 17 over 10 EndFraction inches and width of x inches.


What is the missing dimension of the reduced rectangle?

Answers

Answer:

Sorry if this is late but it's 11/15

Step-by-step explanation:

I did it on edg 2020 so ye

Answer:

the first one 11/15

Step-by-step explanation:

The diameter of a circle is 10 m. Find its circumference in terms of \piπ.

Answers

Answer:

31.42 m

Step-by-step explanation:

10* π= 31.415( which can round to 31.42)

Step-by-step explanation:

Diameter= 10 m

Circumference of a circle= π×Diameter

= π×10

= 31.41593 or 31.42

What is 3 x 3 -6 x 87 =

Answers

Answer:

-513

Step-by-step explanation:

use gemdas (order of operations) to find your answer!

g- groupings

e- exponents

m- multiplication

d- division

a- addition

s- subraction

3 x 3 = 9

6 x 87 = 522

9 - 522 = -513!

Answer:

261

Step-by-step explanation:

First you have to multiply

[tex]3 \times 3 = 9[/tex]

Second you you have to multiply again

[tex]6 \times 87 = 522[/tex]

Finally you have to subtract

[tex]9 - 522 = - 513[/tex]

PLEASEEE HELLPP!!!!
please don’t answer if you don’t know this is a exam

Answers

Answer
C

Explanation
There are no repeating numbers for x

Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16

Answers

I got x = 4-2y

4x+8y=16
-8y=-8y

4x=16-8y
— ——-
4 4

x=4-2y
C) X = -2y + 4

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

simplify the following
8*7-10+55​

Answers

Answer:

101

Step-by-step explanation:

8*7 -10+55.

First, multiplication.

8*7 is 56.

56-10+55

56-10 is 46.

46+55 is 101.

Hope this helps plz hit the crown :D

Which graph is and is not a function!?​

Answers

Answer:

The first one is a function. The other two are not functions.

Step-by-step explanation:

To find this, you use the vertical line test. If the vertical line touches multiple points on the graphed line, it is not a function. If the vertical line only touches the graphed line at one point, it is a function.

Good Luck! I hope this helps!

Consider the function f(x) = (x+ 1)2 - 1. Which of the following functions stretches
fo) vertically by a factor of 4?
O A) f0 - (/ax+ 1)2 +3
O B) f9 = 1/ax+ 1)2 -4
Oo fo-4(x+ 1)2 - 1
OD) fo = 4(4x+ 1)2- 1

Answers

Answer:

C

Step-by-step explanation:

A coefficient of 4 would have to be added in front of (x+1)^2 in order to vertically stretch the function by a factor of 4.

The answer that demonstrates this is choice C: [tex]f(x) = 4(x+1)^2-1[/tex]

The functions stretches vertically by a factor of 4 will be f(x) = 4(x+ 1)² - 1. Then the correct option is C.

What is the equation of the parabola?

Let the point (h, k) is the vertex of the parabola and a is the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic function is given below.

f(x) = a(x+ 1)² - 1

If the value of the leading coefficient lies between 0 to 1. Then the parabola is stretched horizontally.

And if the value of the leading coefficient is greater than one. Then the parabola is stretched vertically.

The functions stretches vertically by a factor of 4. Then the value of the leading coefficient is 4. Then the equation will be

f(x) = 4(x+ 1)² - 1

Then the correct option is C.

More about the equation of parabola link is given below.

https://brainly.com/question/20333425

#SPJ5

Liz lives 3 miles from the library.

Brendan lives 3 times as far as Liz.

Andy lives 3 times as far as Brendan.

Eddie lives 3 times as far as Andy.Which exponential expression represents how far Eddie lives from the library?



A.3 the the 5th power miles


B.4 to the 3rd power miles


C.3 to the 4th power miles


D.3 to the 3rd power miles

Answers

Answer:

C.

Step-by-step explanation:

3 times 3 =9 and is 3 by the 2nd power.    Then that times three is 27 which is 3 to the third power. Now it’s time to find out where Eddie is compared to the library. Then that times 3 is 3 to the fourth power. So that’s how far Eddie is. He is 81 miles away.

PLEASEEE HELPP MEEE!!​

Answers

Answer:

B, 0.07c

Step-by-step explanation:

to get the total sales tax, you need to multiply the price by the tax percent in decimal.

7%=0.07

c= the price

total price =0.07c

What does "practical domain" mean?

Answers

Answer:

practical domain is the domain by just looking at the function.

Step-by-step explanation:

hope it helps

have a great day :)

Please help my grade are low!!

Answers

Answer:

250%of4.4=look it up girl

Step-by-step explanation:

PLEASE HELP!!!!!!!!! 32 POINTS.

Answers

The answer is 96 for this

Which functions are symmetric about the y-axis? Check all of the boxes that apply.​

Answers

The functions that are symmetric about the y-axis are;

1) The function in the first option; f(θ) = cos(θ)

2) The function in the third option; f(x) = x²

Reason for the above selection;

Definition;

A function is symmetric about the y-axis is also known to be an even function such that the same value of the function is arrived at when x is replaced with -x

Analysis of the graphs;

First Function Graph; The graph represents the graph of cos (θ)

∴ The function is f(θ) = cos(θ)

The value of the function when x = π, f(π) = -1

Similarly, the value of the when x = -π, f(-π) = -1

f(π) = f(-π)

f(x) = f(-x)

Therefore; the first function is an even function

Second Function Graph; The function of the graph is x = y²

∴ y = √(x)

The value of the function when x = 4, y = f(4) = 2

However, the when x = -4, f(-4) does not exist

f(4) ≠ f(-4)

f(x) ≠ f(-x)

Therefore; the second function is not an even function (the function, x = y², is however symmetric about the x-axis)

Third Function Graph; The function the graph represents is y = x²

The value of the function when x = 2, f(2) = 4

Similarly, the value of the when x = -2, f(-2) = 4

f(2) = f(-2)

f(x) = f(-x)

Therefore; the third function is an even function

From the above, the functions which are symmetric about the y-axis, (even functions) are;

The first and the third functions

Learn more about symmetric functions here;

https://brainly.com/question/1461050

Answer:

first and third ones

Step-by-step explanation:

you`re welcome

point)
Complete the missing value in the solution to the equation:
6x + x = y + 2x
(3,

Answers

Answer:

-2

Step-by-step explanation:

please help!!!!!! im not too sure how to answer this.

Answers

I think the answer is B


Explanation: Rise
Run
You rise up 4 and go to the right 3

which graph represents the system of equation? Y greater than negative 1/3 x + 4 + 2x - 3y less than equal to 12 ​

Answers

Answer:7x/3 - 3y +4 hope this helps!

Step-by-step explanation:

the ratio of length, breadth and height of a room is 4:3:1. If 12m^3 air is contained in a room, find the length , breadth and height of the room​

Answers

9514 1404 393

Answer:

length: 4 mbreadth: 3 mheight: 1 m

Step-by-step explanation:

The product of ratio units is 12 unit³, so each must stand for 1 m.

The dimensions of the room match the ratio units:

  4 m length by 3 m breadth by 1 m height

help with these equations please!

Answers

1) yes
2) x=-4,y=-7
3) x= -3, y=4
4) x= -1, y=2
5) x= -5, y=-8
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