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

Answer:

Step-by-step explanation:

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]

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

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

Answer:c and d

Step-by-step explanation:

Statements in the options 3 and 4 are true 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.

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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:

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

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 :)

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

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.

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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Answer:

10 gallons

Step-by-step explanation:

4 quarts is one gallon

so

40/4 is 10

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

Answer:

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

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!

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:

Answer:

A

Step-by-step explanation:

edge

Answer:

hi

Step-by-step explanation:

Answer:

you multiple what April has

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

Hope this helps!! :)

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

Answer:

ur question isnt complete... ?

Step-by-step explanation:

Hope this helps!

djddc8y8fys9yv9uvsgosoyggysoyd

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.

Answer:

x=6

Step-by-step explanation:

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

The Answer Is x^2+×+7

Hope This Help's

Answer:

Marcus has 17 rocks.

Step-by-step explanation:

Answer:

2 3 and 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Depends on what is the problem!

Answer:

x = 13

Step-by-step explanation:

4x = 52

x = 52/4

x = 13

Hope this helps!