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sattari [20]
3 years ago
10

What is an extraneous solution? a solution that was found due to an arithmetic error a solution that satisfies the original equa

tion an apparent solution that is not a real number an apparent solution that does not satisfy the original equation

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

  an apparent solution that does not satisfy the original equation

Step-by-step explanation:

Usually, an extraneous solution is introduced by the solution process. Sometimes it takes the form of multiplying an equation by 0, often the result of eliminating the denominators of rational functions.

Other times, it takes the form of adding branches to a function that are unintended or undefined. (Squaring a square root will often introduce "solutions" that require the square root to be a negative value.) The attached graph shows that x=4 is an extraneous solution to ...

  √x = x-6

It shows up when the equation is squared:

  x = x² -12x +36   ⇒   (x -9)(x -4) = 0

The "solution" x=4 is extraneous because it does not satisfy the original equation.

As in this graphed example, using graphical methods to find solutions can often avoid extraneous solutions.

Tema [17]3 years ago
7 0

Answer:

 an apparent solution that does not satisfy the original equation

Step-by-step explanation:

You might be interested in
Someone help me with this still im stock on it plz
pav-90 [236]

Answer:

a>4 or a < 8

Step-by-step explanation:

We can start with the inequality on the left

-a + 2(4+3a) > 28

expand using the distributive property

-a + 8 + 6a > 28

5a + 8 > 28

subtract 8 from both sides to isolate the variable and its coefficient

5a > 20

divide both sides by 5 to isolate a

a > 4

moving on to the inequality on the right

2a - (3a+4) > -12

treat the minus sign as a -1

2a + (-1)(3a+4) > - 12

expand

2a - 3a - 4 > - 12

-a - 4 > -12

add 4 to both sides to isolate a and its coefficient

-a > - 8

multiply both sides by -1 but change the sign because we are multiplying by a negative number

a < 8

5 0
2 years ago
The admission fee at an amusement park is 20$ for children and 35$ adults. On a certain, day 264 people entered the park, and th
shtirl [24]

Answer:

100 Adults and 164 Children

Step-by-step explanation:

To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:

35A (total adult price) + 20C (total children price) = 6780

35A+20C=6780

Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:

A (number of adults) + C (number of children) = 264

A+C=264

Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:

If we rearrange the second expression we will get:

A+C-A=264-A

C=264-A

So now we substitute this expression into our first formula:

35A+20C=6780

C=264-A

35A+20(264-A)=6780

Now since we only have one unknown, we can simplify, expand and solve!

35A+20*264-20*A=6780

35A+5280-20A=6780

35A-20A+5280-5280=6780-5280

15A=1500

15A/15=1500/15

A= 100

A total of 100 adults were admitted.

Now we can use the number of adults to find the number of children using our second formula:

C=264-A

C=264-100

C=164

And there we are! A total of 100 adults and 164 children were admitted.

Hope this helped!

4 0
3 years ago
Which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 2xy=2xy, equa
e-lub [12.9K]

Step-by-step explanation:

The graph has a slope of 0.5 and a y-intercept of 5

The equation is given as:

A linear equation is represented as:

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of  has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of

8 0
2 years ago
A right triangle has side 10 and hypotenuse 26. Use the Pythagorean Theorem
alekssr [168]

Answer:

24

Step-by-step explanation:

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where a and b are the legs in a right triangle and c is the hypotenuse. Therefore, just substitute the values a = 10 and c = 26 into the equation to get b = 24

Hope this helps :)

3 0
2 years ago
What is a / b (2x - 12) = c / d ; x ?
Alex17521 [72]

we are given

\frac{a}{b} (2x-12)=\frac{c}{d}

we can solve for x

We can isolate x

step-1: Multiply both sides by b/a

\frac{b}{a}*\frac{a}{b} (2x-12)=\frac{b}{a}*\frac{c}{d}

(2x-12)=\frac{bc}{ad}

step-2:Add 12 both sides

(2x-12)+12=\frac{bc}{ad}+12

2x=\frac{bc}{ad}+12

step-3: combine right side

2x=\frac{bc+12ad}{ad}

step-4:Divide both sides by 2

x=\frac{bc+12ad}{2ad}..............Answer

3 0
3 years ago
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