Find the extraneous solution of the equation |4x−42|=−10x.

Answers

Answer 1

Answer:

x=3 is the extraneous solution

Step-by-step explanation:

|4x-42| = -10x

Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.

1st equation:

4x - 42 = -10x

2nd equation:

4x - 42 = 10x

Solve both equations for x:

1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7

Plug in both values for x in the original equation to find the extraneous solution:

x=-7

|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70

x=3

|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30


Related Questions

convert to gallons 40 quarts

Answers

Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

The answer would be 10 gallons

urgent answer fast"""""""​

Answers

Answer:

the fifth number is 11

Step-by-step explanation:

8,11,13 and 17, x

the mean is =12  ( which means the sum of the terms divided by the numbers of terms )

to find the mean :

(8+11+13+17+x)/5 =12

5*12=49+x

60-49=x

x=11

4a²-4ab + b2, when a = 2 and b = 5

Answers

Answer: -14

Step-by-step explanation:

literally just plug the numbers in the equation:

a= 2 b=5

4(2)^2-4(2)(5)+(5)2

4(4) -4(10) +10

16 - 40 + 10

-14

Hope this helps

The value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The expression:

= 4a² - 4ab + b²

Plug a = 2

b = 5

In the above expression:

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Applying arithmetic operation:

= 4(2)² - 4(2)(5) + (5)²

= 4x4 - 40 + 25

= 16 - 40 + 25

= 1

Thus, the value of the expression 4a² - 4ab + b² is 1 if the value of a is 2, and the value of b is 5.

Learn more about the expression here:

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7. Find all values of x, where
IxI=1/3

Answers

Answer:

[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Type an equation for the
following pattern.

Answers

I’m pretty sure it’s Y=15 over 3 but I’m not toooo sure

What is the solution to the equation 4x = 52?

Answers

Answer:

x = 13

Step-by-step explanation:

4x = 52

x = 52/4

x = 13

Hope this helps!

The answer is the the question X=13

April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?​

Answers

Answer:

hi

Step-by-step explanation:

Answer:

you multiple what April has

Pls help!!!

Find the solution set of the inequality with the given replacement set:

20x - 4 > 24, x = {0, 1, 2, 3}

Answers

Answer:

{2,3}

Step-by-step explanation:

as when we solve we will get 7/5

that is 1.5

and x > 1.5

so answer is 2 and 3

plz mark as brainliest if it helps

Marcus collected 5 fewer rocks than Esha

Part A
How many rocks did Marcus collect if Esha collected 22 rocks?

Answers

Answer:

Marcus has 17 rocks.

Step-by-step explanation:

Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a

Answers

Answer:

Mean = 0

Variance = 4/3

Standard Deviation √4/3

a= 0.9

Step-by-step explanation:

If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12

Here a=  -2 and b= 2

Now finding the mean = a+b/2=-2+2/2= 0

Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3

Standard Deviation = √Variance= √4/3

b) [tex]\int\limits^a_b f({x}) \, dx[/tex]=  \int\limits^a_a {\frac{1}{a- (-a)} } \, dx

                =1/2a[x]^a_-a= 2a/2a= 1  (applying the limits to the function)

P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a    (applying the limits to the function)

P(−a<X<a)= 0.9

a= 0.9

In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.

Using the uniform distribution, we have that:

The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.

An uniform distribution has two bounds, a and b.

In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].

The mean is:

[tex]E(X) = \frac{a + b}{2}[/tex]

Hence:

[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]

The variance is:

[tex]V(X) = \frac{(b - a)^2}{12}[/tex]

Hence

[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]

The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]

A similar problem is given at https://brainly.com/question/14767944

Factor the Expression x^2+x+7

Answers

The Answer Is x^2+×+7

Hope This Help's

When x is decreased by 2 and then that number is divided by 2, the result is 2. What is the value of x?

Answers

Answer:

x=6

Step-by-step explanation:

6 minus 2 is 4 and 4 divided by two is 2

how many dollars will you get if you change

Answers

Answer:

Depends on what is the problem!

is this a function yes or no?? ​

Answers

Answer:

Yes, it is a function

Step-by-step explanation:

A function is where there is no two of the same domain.

The domain is the first coordinate.

Step-by-step explanation:

Answer:

Yes, it is a function

Step-by-step explanation:

A function is where there is no two of the same domain.

The domain is the first coordinate.

Hope This Helps :)

Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c 4.If c > d, then a– c < a – d 5.If a < b, then a < b + c

Answers

Answer:c and d

Step-by-step explanation:

Statements in the options 3 and 4 are true inequalities.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

1) a - b < a + b

Here, the statement is not true.

2) ac ≥ bc

Here, the statement is not true.

3) If a ≥ b, then a + c ≥ b + c

Here, the statement is true.

4. If c > d, then a-c < a-d

Here, the statement is true.

5) If a < b, then a < b + c

Here, the statement is not true.

Therefore, options 3 and 4 are correct answers.

To learn more about the inequalities visit:

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Mr.Salazar assigns the same Number of homework Question each

Answers

Answer:

ur question isnt complete... ?

Step-by-step explanation:

Can someone please help ty!!

Answers

The yellow one is the right answer

Answer:

Try the light blue one, I really just guessing but good luck!!

1
2
Read the sentence
Dancing is becoming a popular hobby.
Which statement correctly describes the verb function
in this sentence?
The word 'dancing' is a verb that functions as a
noun
The word "dancing" is a verb that functions as an
adjective
The word "becoming" is a verb that functions as a
noun
The word "becoming' is a verb that functions as an
adjective
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

A

Step-by-step explanation:

edge

Determine whether the given value is a statistic or a parameter.

A survey found that 75% of all respondents were optimistic.

Choose the correct answer below.

A. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.

B. The value is a parameter because it is a numerical measurement describing some characteristic of a population. C. The value is a statistic because it is a numerical measurement describing some characteristic of a population.

D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Answers

Answer:

D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.

Step-by-step explanation:

A survey found that 75% of all respondents were optimistic. We consider 75% of all respondents is a sample from over all population, so it's a statistic.  Value of statistics are e.g sample mean, sample proportion etc .

It is important to understand that the numerical measurement describing some characteristic of a population is called as parameter.  e.g. population mean , population proportion etc. Hence, it is not correct.

Is the square root of 3,600 rational or irrational? Explain.

Answers

Answer:

Rational. the square root of 3600 is a real, rational number, 60.

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is an integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------------

Square root of 3600=60

60

It is an integer, which fits the first point

So, it is rational

Hope this helps!! :)

what is the domain?
what is the range?
what is g(0)?
what is g(x)3?
what is the max value?
is g(x) continuos or discrete?
what is the y intercept?
how many x intercept does g(x) have?​

Answers

G has 2 intercepts and y is 5


Find the daily rate if the annual interest rate is 12%.
.
a. 0.0003287671
• b. 0.03287671
.
C. 0.23076923
.
d. 0.00230769

Answers

Answer:

B.) 0.03288%

Step-by-step explanation:

I hope this helps you :)

Answer:

Periodic Interest Rate (P)

(rate per compounding period)

0.03288%

Answer is B

Step-by-step explanation:

X=4 y=0 z=4 x-9y/-z algebraic expression

Answers

Hope this helps!

djddc8y8fys9yv9uvsgosoyggysoyd

What is the value of f^-1(0)?



Please help! It’ll be greatly appreciated!

Answers

Answer:

[tex]f^{-1}(0)=6[/tex]

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

[tex]f^{-1}(0)[/tex]

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

[tex]f^{-1}(0)=y[/tex]

This means that we have the point:

[tex](0,y)[/tex]

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

[tex](x,0)[/tex]

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

[tex]f(6)=0[/tex]

So:

[tex]f^{-1}(0)=6[/tex]

And we're done!

What are the disadvantages of driverless cars? Check all that apply.​

Answers

Answer:

2 3 and 4

Step-by-step explanation:

Answer:

They cannot tell the difference between people and other objects. They will wait for crossing pedestrians even if signaled to keep driving.

Step-by-step explanation:

X- 3 = 9 workings pls​

Answers

X=12 this is because 9+3=12 and 12-3=9 so that gets you your answer

You are shopping for dinner for your family in a fast-food restaurant, but you are concerned about fat. An informative menu gives you the following information. Item Hamburger Chicken sandwich Fries Onion rings Grams of fat 24 13 30 25 How much total fat is in an order of hamburgers, chicken sandwich, orders of fries, and orders of onion rings

Answers

Answer:

Total amount of fat = 92 grams

Step-by-step explanation:

Given:

Item                           Amount of fat  (in gram)

Hamburger                              24

Chicken sandwich                   13

Fries                                         30

Onion rings                             25

Find:

Total amount of fat

Computation:

Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]

Total amount of fat = [24 + 13 + 30 + 25] grams

Total amount of fat = 92 grams

4.0 divided by 0.02=

Answers

Answer:

Step-by-step explanation:

If point p partitions line BA,what would be the part to whole ratio

Answers

Answer:

4 / 5

Step-by-step explanation:

From the image attached, Line BA is divided into a total of 5 equal proportions (or intervals). Point P is placed at the 4th proportion of the divided line, also the distance between point P and point A is 1 propotion. The ratio in which point P divides the line BA is given as:

Ratio = BP : PA = 4 : 1

Ratio = 4 : 1

The part to whole ratio If point p partitions line BA = BP / BA = 4 / 5

Part to whole ratio = 4/5

Evaluate 5^-4. Write your answer as a fraction in simplest form

Answers

Answer:

exact form = 1/625

decimal form = 0.0016

The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

From the question,

We are to evaluate 5^-4.

First, we will write the expression properly.

The given expression is 5⁻⁴

Now, we will write the expression as a fraction

From one of the laws of indices, we have that

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

Therefore,

[tex]5^{-4} =\frac{1}{5^{4} }[/tex]

In simplest form

[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]

Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

Learn more on simplifying expressions here: https://brainly.com/question/12985890

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