For what positive integers n are the domain and range of y=n√x the set of real numbers? Assume that x is a real number.

Without calculating you would that  x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.

Solution of absolute value inequalities

An absolute value inequality is an expression with absolute functions as well as inequality signs. This type of inequality usually have two solutions.

The given equation

|4x + 20| = 6x

The solution to the absolute value inequality above is calculated as follows;

4x + 20 = 6x ------ (1)

-4x - 20 = 6x   ------ (2)

from equation (1) above, the value of x is calculated as follows;

2x = 20

x = 20/2 = 10

from equation (1) above, the value of x is calculated as follows;

-10x = 20

-x = 20/10

-x = 2

x = -2

Thus, without calculating you would that  x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.

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Answer:

1M

Step-by-step explanation:

HOPE ITS HELP!! PLEASE STAY ALIVE!! :D

Answer:

9!

Step-by-step explanation:

Because a person who switch with 9 people, then another person switch with 8 people (because the first person was already counted), then another person who switch with 7 people (becsuse the first and the second person was already counted)... and you will get 9!. 9! is 9 factorial which is 9×8×7×6×5×4×3×2×1. :)

Answer: 16mph

Step-by-step explanation:

64 miles divided by the 4 hours comes out to 16 per hour

Answer: 16 miles per hour

Answer:

x=4

Step-by-step explanation:

In the given statement is:

You conduct a survey of your small town about having a town wide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results.

Using the absolute value function, we have that:

A. The least percentage is of 39% and the greatest is of 49%.

B. Since the greatest percentage is below 50%, the statement conflicts with the survey data.

What is the absolute value function?

The absolute function is defined by:

It measures the distance of a point x to the origin.

For this problem, the difference between the percentage of opposed and 44% can be of at most 5%, hence the absolute value equation is:

|x - 44| = 5.

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The quotient of each of the expressions are:

a. 1⅖ / -1/5 = -7

b. -0.4 ÷ 0.25 = 1.6

c. 7/8 ÷ -3/4 = -7/6

d. 0.7 ÷ -1 1/6 = -0.6

Quotient is the result you get after dividing one quantity by another. For example, the quotient of a and b is a/b.

Find the given quotient as shown below:

a. 1⅖ / -1/5

Convert mixed fraction to improper fraction

7/5 / -1/5

Change the division sign to multiplication and turn the fraction upside down

7/5 × (-5/1)

= -(7 × 5)/(5 × 1)

= -(7 × 1)/(1 × 1)

= -7/1

= -7

b. -0.4 ÷ 0.25

-0.4/0.25

= 1.6

c. 7/8 ÷ -3/4

Change the division sign to multiplication and turn the fraction upside down

7/8 × -4/3

= -(7/8 × 4/3)

= -(7 × 4)/(8 × 3)

= -(7 × 1)/(2 × 3)

= -7/6

d. 0.7 ÷ -1 1/6

0.7 ÷ -7/6

Change the division sign to multiplication and turn the fraction upside down

0.7 × -6/7

0.1 × -6/1

= 0.1 × -6

= -0.6

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The total change in the weight of Callie's cat will be - 1 5/8 pounds.

Callie's cat lost weight = 4 1/2 pounds

Lost = 9 / 2 pounds

Cat gained the weight = 2 7/8 pounds

Gained = 23 / 8 pounds

Net change = - 9 / 2 pounds + 23 / 8 pounds

= - 36 / 8 pounds + 23 / 8 pounds

= - 13 / 8 pounds

= - 1 5/8 pounds

She lost the net weight of 1 5/8 pounds.

Therefore, the total change in the weight of Callie's cat will be - 1 5/8 pounds.

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The second

The correct answer is N ∈ line MN

The third

The correct answer is P ∉ line MN

The fourth

The correct answer is B ∉ line MN

The symbols are interpreted as follows

Given data

line MN

The first

It is already given that is  M ∈ line MN

point M can be located in line MN

The second

The correct answer is N ∈ line MN

point N can be located in line MN

The third

The correct answer is P ∉ line MN

point P cannot be located in line MN it is off the line

The fourth

The correct answer is B ∉ line MN

point B cannot be located in line MN it is off the line

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The area of the triangle is 15 square units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The triangle is shown on the coordinate plane.

Using the distance formula:

The height of the triangle:

[tex]\rm AC=\sqrt{(-2+2)^2+(-3-3)^2}[/tex]

AC = 6 units

Again using the distance formula:

[tex]\rm BC =\sqrt{(3-(-2))^2+(-3-(-3))^2}[/tex]

BC = 5 units

The area of the triangle = (1/2)6x5

The area of the triangle = 15 square units

Thus, the area of the triangle is 15 square units after using the distance formula.

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The number of tiles is mathematically given as

x=2500Tiles

This is further explained below.

Generally, the equation for the Area of the floor is  mathematically given as

A= 20*5

A = 100m^2

Where

20*20=400cm

Therefore no tiles needed is

x=100*10000/400

x=2500Tiles

In conclusion, the number of tiles is

x=2500Tiles

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CQ

\A floor 5m by 20m is covered by square tiles of side 20cm. How many tiles are needed?

The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.

Given :

ABC = 40 and BD is the angle bisector of angle ABC.

The following steps can be used in order to determine the angle ABD:

Step 1 - According to the given data, BD is the angle bisector of angle ABC.

Step 2 - An angle bisector bisects the angle into two equal parts.

Step 3 - So, the measure of angle ABD is calculated as:

So, the measure of angle ABD is 20 degrees.

The total amount including the tax rate is found as $34.

For the stated conditions in the question.

The original amount = $31.69.

The tax rate is 6%.

The total mount will be the sum of original amount and tax price.

First calculated the tax price;

6% of 31.69 = 6×31.69/100

6% of 31.69 = 1.9014

Tax price = $1.9014.

Total price = original amount + tax price

Total price = $31.69 + 1.9014

Total price = 33.5914

Total price = $34 (Round to the nearest cent.)

Thus, the total amount is estimated as $34.

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The amount of the shed that Jack would have built when Kyle finishes the shed is 8/25.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 8/25. 8 is the numerator and 25 is the denominator.

When Kyle finishes building the shed, he would have finished building a fraction of 1/1 of the shed. S

So, the amount of shed, that Kyle still needs to build to complete the shed is 1 ÷ 5/8

= 1 x 8/5 = 8/5

The amount of shed that Jack will have built when Kyle finishes the shed is:

8/5 x 1/5 = 8/25

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Step-by-step explanation:

2 things to remember :

the sum of all angles in a triangle is ashtrays 180°.

the sum of all angles around a point on one side of a line is also always 180° (because that represents a half-circle).

let's call the 3rd angle in the triangle "innerQ".

so,

180 = (4x + 13) + 19 + innerQ

180 = (7x + 2) + innerQ

as innerQ is also the supplementary angle of 7x + 2.

because of that, we can now say

(4x + 13) + 19 + innerQ = (7x + 2) + innerQ

4x + 13 + 19 = 7x + 2

4x + 32 = 7x + 2

30 = 3x

x = 10

so, the angle S = 4×10 + 13 = 40 + 13 = 53°

Answer:

Step-by-step explanation:

28 + 76=

104

Her elevation is 104 at the peak.

When y = 4 and x = 2, the inverse variation equation is y = 8/x

Inverse variation is variation in which the relationship between two variables is an inverse one. That is, while one variable increases, the other decreases.

Given that in an inverse variation, y = 4 when x = 2. Since y and x have an inverse relationship, we have that

y ∝ 1/x, this implies that

⇒ y = k/x where k = constant of proportionality

Now, given that  in an inverse variation, y = 4 when x = 2. Substituting the values of y and x into the equation, we have that

y = k/x

4 = k/2

k = 4 × 2

k = 8

So, susbstituting k = 8 into the equation for y, we have

y = k/x

y = 8/x

So, the inverse variation equation is y = 8/x

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Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

[tex]\begin{cases}2y = 2x + 12\\2-y = 4\end{cases}[/tex]

It would be easier to start with the second equation.

[tex]2 - y = 4 \text{ // Add y and subtract 4}\\\to 2 - y - 4 = 4 - y - 4\\\to -2 = y[/tex]

From here, we can substitute [tex]y = -2[/tex] into the first equation, to solve for [tex]x[/tex].

[tex]2(-2) = 2x + 12\\\to -4 = 2x + 12 \text{ // Subtract 12 on both sides}\\\to -4 - 12 = 2x + 12 - 12\\\to -16 = 2x \text{ // Divide by 2}\\\to -\frac{16}2 = \frac{2x}2\\\to -8 = x[/tex]

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{19\frac{1}{5}}\implies \cfrac{19\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{96}{5}} ~\hfill \stackrel{mixed}{11\frac{1}{11}}\implies \cfrac{11\cdot 11+1}{11}\implies \stackrel{improper}{\cfrac{122}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{96}{5}~~ - ~~\cfrac{122}{11}\implies \stackrel{\textit{using the LCD of 55}}{\cfrac{(11)96~~ - ~~(5)122}{55}}\implies \cfrac{1056~~ - ~~610}{55} \\\\\\ \cfrac{446}{55}\implies {\LARGE \begin{array}{llll} 8\frac{6}{55} \end{array}}[/tex]

Answer:

The customer would have 177 minutes to talk on the phone for their monthly bill to be 84.25

Step-by-step explanation:

Point of correction it's not C=25m +40 but it is

C=0.25m +40

Where,

➟ 84.25 = 0.25m + 40

Let's solve your equation step-by-step.

84.25=0.25m+40

Step 1: Flip the equation.

0.25m+40=84.25

Step 2: Subtract 40 from both sides.

0.25m+40−40=84.25−40

0.25m=44.25

Step 3: Divide both sides by 0.25.

0.25m/0.25 = 44.25/0.25

m=177

∴ The customer would have 177 minutes to talk on the phone for their monthly bill to be 84.25

Based on the number of sheets of construction paper that Cara uses to make 1/6 of her project, the number of sheets for the whole project would be 25 sheets

Cara will use 4¹/₆ sheets of construction paper for 1/6 of her poster board project so to find the sheets needed for the whole project, use direct proportion.

4¹/₆ sheets of construction paper  :  1/6 of project

x sheets of construction paper      : 1

1/6 × x = 4¹/₆

1/6x = 4¹/₆

x = 4¹/₆ ÷ 1/6

x = 25/6 x 6/1

x = 25 sheets

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Answer:r=51

Step-by-step explanation:

Answer:

r = 51

Step-by-step explanation:

r - 17 = [tex]\frac{2}{3}[/tex] r ( multiply through by 3 to clear the fraction )

3r - 51 = 2r ( subtract 2r from both sides )

r - 51 = 0 ( add 51 to both sides )

r = 51

The inverse of [tex]f[/tex], denoted [tex]f^{-1}[/tex], is such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Given [tex]f(x)=\sqrt{x+9}[/tex], we have

[tex]f\left(f^{-1}(x)\right) = \sqrt{f^{-1}(x) + 9} = x[/tex]

Solve for [tex]x[/tex].

[tex]\sqrt{f^{-1}(x) + 9} = x[/tex]

[tex]\left(\sqrt{f^{-1}(x) + 9}\right)^2 = x^2[/tex]

[tex]f^{-1}(x) + 9 = x^2[/tex]

[tex]f^{-1}(x) = x^2 - 9[/tex]

Note that [tex]f(x)\ge0[/tex], so we must also have [tex]f\left(f^{-1}(x)\right) = x \ge 0[/tex]. This makes the third choice the correct one.

D. 37.8204

A negative absolute value is always positive.

Answer:

d) 37.8204

Step-by-step explanation:

Given that,

→ |-18.531| + |-19.2894|

Let's solve the problem,

→ |-18.531| + |-19.2894|

→ 18.531 + 19.2894

→ 37.8204

Thus, option (d) is correct.

Answer:

hope this helps if this is what you meant

10m6

Step-by-step explanation:

=2*m4*5*m2

=10*m6

=10m6

Answer:

x >-2

Step-by-step explanation:

subtract 2x from both sides

-6x - 16 - 2x < 0

subtract 2x from 6x

-8x - 16 < 0

add 16 to both sides

-8x < 16

divide by -8

x> -2

Answer:

the answer is 43.1

Step-by-step explanation:

because i searched it up

The polynomial function is x²- 3xi  + 4

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Types of polynomial equations :

Some examples of polynomial equation are :

According to question,

roots are -i , 4i

Thus the factors are :

(x - (-i) ) ( x - (4i) )

=> ( x + i )( x - 4i )

=> x²- 4xi + xi - 4i²

=> x²- 3xi  + 4         ( as i² = -1)

Thus polynomial function for given roots is x²- 3xi  + 4

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