Which values, when substituted for x in the expression _/x , will result in an irrational number? Select all that apply.

Which Values, When Substituted For X In The Expression _/x , Will Result In An Irrational Number? Select

Answers

Answer 1

The values, which when substituted for x in the expression √x , would result in an irrational number are:

x = 168x = 2x = 8x = 21x = π

The types of numbers.

In Mathematics, there are six (6) common types of numbers and these include the following:

Natural (counting) numbersWhole numbersRational numbersIrrational numbersReal numbersIntegers

What is an irrational number?

An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 168, 2, 8, 21, π, 11.

In conclusion, when a perfect square or 4 is substituted for x in the expression √x, the result is not an irrational number because it is neither a terminating nor a repeating decimal.

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Complete Question:

Which values, when substituted for x in the expression √x, will result in an irrational number? Select all that apply.

x = 168

x = 2

x = 8

x = 21

x = π

x = 4

when x is a perfect square.


Related Questions

What is 25.9 rounded to the nearest whole number?

Answers

Answer:

26

Step-by-step explanation:

Answer: 26

Step-by-step explanation: When rounding you have to look and see if your number is above or below 5. Let's take your number for example.

25.9

Focus on the decimal point. If you notice, the number after the decimal point is above 5, therefore you should round it off to 26.

Hope it helps ^^

Simplify m9m−3 pls answer asap

Answers

After simplification of m9m - 3 the answer is 3(3[tex]m^{2}[/tex] - 1).

Given that :

= m9m - 3

a. Reordering terms:

= 9mm - 3

b.Exponents combining:

= 9mm -3

= 9[tex]m^{2}[/tex] - 3

c.Common value factor:

= 9[tex]m^{2}[/tex] - 3

Take 3 has common

= 3(3[tex]m^{2}[/tex] - 1)

Therefore after simplification of m9m - 3 the answer is 3(3[tex]m^{2}[/tex] - 1).

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Write a fraction equivalent to 6/20 with a denominator of 50.

Answers

Answer:

15/50

Step-by-step explanation:

[tex]\frac{6}{20}[/tex] = [tex]\frac{x}{50}[/tex]  Cross multiply

20x = 6(50)

20x = 300   Divide both sides by 20

x = 15

Basically, we should first name the unknown numerator “X”. after that, we should cross multiply. We would then be able to find the value of x. There is also a “check” in the picture to check if the value of X is equivalent. Feel free to clarify if you don’t understand!


Factor each expression completely. 25 x²-40 x y+16 y²

Answers

The expression 25x^2 - 40xy + 16y^2 can be factored as (5x - 4y)(5x - 4y).

Factorization is defined as the process of breaking down a number or polynomial into factors that when multiplied will give the same value.

The expression 25x^2 - 40xy + 16y^2 resembles the form

ax^2 + bxy + cy^2 which has factors (mx + ny)(ox + py).

Factoring polynomial expression like 25x^2 - 40xy + 16y^2 can be done by grouping method shown earlier.

Find the two pairs of numbers whose products are 25 and 16.

Taking 5 and 5, and 4 and 4 as the pair of numbers.

(5x - 4y)(5x - 4y)

Checking the product of this factors:

(5x -4y)(5x - 4y)

25x^2 - 20xy - 20xy + 16y^2

25x^2 - 40xy + 16y^2

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Find the inverse of each function. Is the inverse a function?
y=-x²+5

Answers

The inverse of the function y=2x³+10 is y = [tex]\sqrt[-2]{x-5}[/tex] .

What exactly is an inverse variation?An inverse variation relationship is one in which one variable increases while the other decreases.When two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa, this is known as indirect or inverse variation.


So,

To find the inverse of an equation, simply swap the variables x and y.x = -y²+5

Then,

-y² = x-5y = [tex]\sqrt[-2]{x-5}[/tex]

Therefore,  the inverse of the function y=2x³+10 is y = [tex]\sqrt[-2]{x-5}[/tex] .

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The ratio of impressions to fans is a measure of:_____.
a. fan acquisition
b. community
c. engagement
d. amplification

Answers

the answer is c engagement

The ratio of impressions to fans is a measure of fan acquisition.

What is social media marketing?Social media marketing is the use of social media platforms and websites to promote a product or service. Although the terms e-marketing and digital marketing are still dominant in academia, social media marketing is becoming more popular for both practitioners and researchers

Given is to find the ratio of impressions to fans.

The ratio of impressions to fans is a measure of fan acquisition. Social marketing campaigns begin with fan acquisition, which involves using any of a variety of means, from display ads to News Feed and page pop-ups, to attract people to your Web page.

Therefore, the ratio of impressions to fans is a measure of fan acquisition.

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A family spends 3/7 of their monthly income
on food,5/14

on clothing and 1/5
on rent.
What fraction of the family's income is
spent on other things? If in a particular
month, the family spends GH&2,400 on
other things, how much did the family
spend on clothing? What was the family's
income for the month.

Answers

They spent 1/70 of their monthly income on other things.

The family spent GH¢60,000 on clothing.

The monthly income of the family is GH¢168,000.

What is Fraction?

The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.

Since, The family spend;

On food = (3/7)*x

On clothing = (5/14)*x

On rent = (1/5)*x

Let the family's monthly income = x

Now, To find the fraction of the family's income is spent on other things, we can assume that y is spent on other things, then we should have;

(3/7)*x + (5/14)*x + (1/5)*x + y*x = x

We can divide both sides by x, we get:

(3/7) + (5/14) + (1/5) + y = 1

Now, we can solve this for y as;

3/7 + 5/14 + 1/5 + y = 1

6/14 + 5/14 + 1/5 + y = 1

(6 + 5)/14 + 1/5 + y = 1

11/14 + 1/5 + y = 1

The smallest common factor of 14 and 5 =  14*5 = 70

So, we can multiply in the first fraction by 5/5 and the second by 14/14,

(5/5)*(11/14) + (14/14)*(1/5) + y = 1

55/70 + 14/70 + y = 1

69/70 + y = 1

y = 1 - 69/70

y = 1/70

Hence, They spent 1/70 of their monthly income on other things.

And, On a particular month, the family spends  GH¢2,400 on other things, then if the monthly income is x, we have:

(1/70)*x = GH¢2,400

x = 70* GH¢2,400

x = GH¢168,000

So, The monthly income of the family is GH¢168,000

And, we know that they spend (5/14)*x on clothing,

Then this month they spent on clothing,

⇒ (5/14)*GH¢168,000 = GH¢60,000

So, They spent 1/70 of their monthly income on other things.

The family spent GH¢60,000 on clothing.

The monthly income of the family is GH¢168,000.

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What are the domain and range of the function f(x) = (x³ +6x² +5x-4)?
1
-10-8 -6
9
-4
10
00
8
6
4
ONL
to
$9
9.
-10
2
4
6
00
8
10 x

Answers

Answer:

1. roots may be +/-1,2,3,6 and fractions

A root must be minus since if they were positive, the function would be >0.

-1 works by inspection, so (x+1) is a factor.

-1/1==6==11==6

1===5===6==0

the factors are (x-1)(x^2+5x+6)=(x+1)(x+2)(x+3)

Roots are -1, -2,-3

-

2.x^3-7x+6, Try+/-1,2,3,6

start with 1, and1-7+6=0; (x-1) is a factor

can divide

1/1=0==-7===6

1---1-- -6===0

The factors are (x+1)(x^2+x-6)=(x-1)(x+3)(x-2)

roots are 1,2,-3

-

3.x^3+x^2-12x

factor out an x

x(x^2+x-12)=x(x+4)(x-3)

roots are 0, -4, 3

-

4.9x^3-7x+2

roots can be +/-1, and +/-2 along with (1/3) (2/3),(1/9), (2/9)

-1

(x+1) is a factor.

-1/9===0== -7===2

9----- -9===2====0

(x+1)(9x^2-9x+2)

factor the last with +/- 1, 2.

second factors by noting x^2-9x+18 factors Into (x-6)(x-3)

divide the constant by 9 and put the denominator in front

(3x-2)(3x-1)

so the roots are -1, (2/3), and (1/3)

-

5x³+4x²-31x+6, note: I will assume 31 x.

Roots include (1/5)(2/5)(3/5)(6/5) along with

+/- 1,2,3,6, and 1, -1 do not work by inspection

2/5===4=== -31===6

5------14---- -3===0

so (x-2)(5x^2+14x-3)

or (x-2)(5x-1)(x+3) are the factors

roots are 2, (1/5), -3

hope this helps

Bo has $0.70 worth of nickels and dimes. He has a total of 10 nickels and dimes altogether. By following the steps below, determine the number of nickels, x, and the number of dimes, y, that Bo has.

Answers

2 nickles, 6 dimes. Not 100% sure but I think it's right

help me please
show your solution ​

Answers

Answer:

Rule: Multiplying ×5 in turn

50 { third term}

1,250 {fifth term}

Step-by-step explanation:

2 × 5 = 10 {second term}

10 × 5 = 50 { third term}

50 × 5 = 250 { fourth term}

250 × 5 = 1,250 {fifth term}

Maria wants to write a linear function to describe the cost of a cab ride. The cab costs $3 per ride plus an additional $0.20 per mile. a. What is the function that describes the cost of the cab ride for any number of miles? b. how much is the fare for a 15-mile trip? c. How far can she afford to travel if she only has 10$

Answers

Answer:

add then simplify

Step-by-step explanation:

Pleaseeeee helpppppp

Answers

Answer:

56°

Step-by-step explanation:

The angles are supplementary. They add up to 180°

So ∠AYZ + ∠AYX = 180

6x+4 + 3x - 4 = 180

9x = 180

x = 20

Measure of ∠AYX = 3x - 4 = 3 x 20 - 4 = 60 -4 = 56°

56 degrees is going to be your correct answer

Please someone solve this its homework

Answers

a. the length of the rectangle is 11 units while the width of rectangle is 7 units

b. The rectangles dimensions written as ordered pair (l, w) are

outer rectangle (11, 7)inner rectangle (5, 3)

c. the points on coordinate can be (0, 0), (0, 11), (7, 11), and (7, 0).

d. The points are on the first quadrant because I plotted the points starting from the origin and moved in anticlockwise direction

How to calculate the dimensions of a rectangle

Given data

perimeter = 36 units

perimeter of inner rectangle = 16 units

From the inner rectangle as plotted: 5 units on the graph represents 5 units of the rectangle on the x axis and 3 units on the graph represents 3 units on the rectangle on the y axis.

let the length of the outer rectangle be 5x and the width be 3x such that, the perimeter is solved as:

2(5x + 3x) = 36

16x = 36

x = 2.25

For the length

= 5x

= 5 * 2.25

= 11.25

= 11  (as a possible whole number)

For the width

= 3x

= 3 * 2.25

= 6.75

= 7 (as a possible whole number)

Hence we can say that the length is 11 units and the width is 7 units

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Which expression below is equivalent to 10x-35?
(1) 5(2x-7)
(3) 10(x-5)
12) x(10-35)
(4) 10(x-35)

Answers

Ans is a because 5x2 x=10x
5x-7= -35 so 10x-35 is the ans

Pedro went to the store and spent $36.85. He paid with a $50 bill. How much money will he get back as
change? Show All Your Work for full credit

Answers

Answer: 13.15

Step-by-step explanation:

50

-

36.85

Answer:

Step-by-step explanation:

13.50


Simplify each number. 25³/₂

Answers

Factorization of 25 yields 5×5. In index form, this is written as 5^2. Use the power rule (a^m)^n = a^mn

25=5^2

25^(3/2) = (5^2)^(3/2)

5^(2x3/2)= 5^3

5x5x5 = 125

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need help please and fast

Answers

The answer is A because the sq rt of 144 simplifies to 12, a rational number

-8(b + 3)
I need help with this math question it has to be in distributive property.

Answers

Answer: -8b -  24

Step-by-step explanation:

For distributive property, you multiply the number outside of the parenthesis (8) by the numbers/variables inside the parenthesis (b and 3)

-8 × b = -8b

-8 × 3 = -24

What type of triangle can an isosceles triangle be?

Answers

Answer:

having two side equal on triangle

Answer:

if the two side of triangle is same then we can say that the triangle is isosceles triangle

Last month, a printing press printed 934,920 newspapers, which were bound into identical bundles for easy transportation. How many newspapers could each bundle have contained?

Answers

The number of newspapers that each bundle have contained will be 23373 newspapers.

How to illustrate the information?

From the information, the printing press printed 934,920 newspapers, which were bound into 40 identical bundles for easy transportation.

Therefore, the number of newspapers that each bundle have contained will be:

= Total newspaper / Number of bundle

= 934920 / 40

= 23373

Therefore, the number of newspapers that each bundle have contained will be 23373 newspapers.

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Last month, a printing press printed 934,920 newspapers, which were bound into 40 identical bundles for easy transportation. How many newspapers could each bundle have contained


Simplify each number. 10,000⁰.⁷⁵

Answers

The result of simplifying each number 10,000⁰.⁷⁵ using the properties of exponents is 1

To solve this exercise we have to resolve algebraic operations following the exponent properties.

(10,000⁰)⁷⁵

Using the zero exponent rule that indicates that: any base with an exponent of zero is equal to one, we have:

1⁷⁵

One multiplied by itself many time will be one

1

What is an exponent?

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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SUPER URGENT!!

Joe and his brother are collecting money for a charity. Joe has already collected $170 and plans to earn at least $20 per week. His brother has $80, but plans to earn at least $40 per week. How many weeks until Joe's brother has more money than Joe? How much money will they each have at that point?

Please examples ALL OF THE STEPS YOU USED TO FIND THE ANSWER, or it's going to be useless. Thanks.

Answers

In 5 weeks Joe's brother will have more money than Joe

How to calculate the amount of money ?

Joe and his brother are collecting money for charity

Joe has collected $170 and he plans to earn $20 weekly

His brother has already collected $80 and he plans to earn $40 weekly

Let's start off with Joe and the amount he will be earning weekly

First week: 170 + 20 = 190

Second week: 190 + 20 = 210

Third week: 210 + 20 = 230

Fourth week: 230 + 20= 250

Fifth week: 250+20= 270

Next is to calculate Joe's brother earnings

First week: 80 + 40 = 120

Second week: 120 + 40 = 160

Third week: 160 + 40 = 200

Fourth week: 200 + 40= 240

Fifth week: 240 + 40 = 280

In five weeks Joe's brother will earn $280 while Joe will earn $270

Hence Joe bother will have more money that joe in 5 weeks

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Solve the equation p + 6 = −13 for p.

Answers

answer : 7
explanation:

Micah sketches the graph below to represent a scenario his teacher gave him


Which scenario could Micah's graph represent?
1.Micah's plant is 1 inch and then grows at a rate of 2 inches per week (where x is the number of weeks), for a total of
y inches.
2.Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y
inches.
3.Micah's plant grows 2 inches per week (where x is the number of weeks) and has a starting height of 1 inch, for a
total of y inches.
4.Micah's plant grows 1 inch per week (where x is the number of weeks) and has a starting height of 1 inch, for a total
of y inches.

Answers

A scenario which Micah's graph could represent is: 2. Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

How to calculate the average rate of change?

Mathematically, the average rate of change (slope) of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Average rate of change = (6 - 2)/4 - 0)

Average rate of change = 4/4

Average rate of change = 1.

Therefore, Micah's plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

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Answer: b or Micah’s plant is 2 inches tall and grows at a rate of 1 inch per week (where x is the number of weeks), for a total of y inches.

Step-by-step explanation:

Anita is making headbands for her softball team. She needs a total of
3
4
yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.



Fabric Total Cost for

3
4
Yard ($)
Cotton 5.54
Flannel 2.62
Fleece 4.27
Terry Cloth 6.52

Answers

Answer: The fabrics that cost less than $8 per yard are cotton, flannel and fleece.

In order to determine the cost of a yard of each material, divide the total cost of 3/4 yards of that fabric by 3/4

cost of a yard = total cost ÷

Cost of a yard of cotton = 5.54 ÷  = 6.85

Cost of a yard of Flannel = 2.62 ÷ = 3.49

Cost per yard of Fleece = 4.27 ÷  =  5.69

Cost per yard of Terry Cloth = 6.52 ÷ = 8.69

Based on the above calculations, all but Terry cloth cost less than $8 per yard

scientific notation for the following numbers (with a power of 10).... someone pleaaaase help me!!! thnx bestie
26,000
425,000
630,000
2,000,000
21,000
231,000
43,000,000

Answers

(a) The scientific notation of 26,000 is  2.6 ×  10⁴  .

(b) The scientific notation of 425,000 is 4.25 ×  10⁵ .

(c) The scientific notation of 630,000 is  6.3 ×  10⁵ .

(d) The scientific notation of 2,000,000 is 2.0 ×  10⁶ .

(e) The scientific notation of 21,000 is 2.1 ×  10⁴ .

(f) The scientific notation of 231,000 is 2.31 ×  10⁵

(g) The scientific notation of 43,000,000 is 4.3 ×  10⁷ .

The scientific notation helps US to represent the numbers that ar terribly Brobdingnagian or terribly small during a kind of multiplication of single-digit numbers and ten raised to the facility of the individual exponent. The exponent is positive if the quantity is extremely giant and it's negative if the quantity is extremely tiny a × 10ᵇ ; 1 a < ten

(a) As 26000 has three zeroes which can be represented by 10³.

scientific notation is given by 26 ×  10³ which on simplification gives

2.6 ×  10⁴

Hence,  2.6 ×  10⁴  is that the scientific notation of the quantity.

(b)  As 425000 has three zeroes which can be represented by 10³.

scientific notation is given by 425 ×  10³ which on simplification gives

4.25 ×  10⁵

Hence,  4.25 ×  10⁵  is that the scientific notation of the quantity.

(c) As 630000 has four zeroes which can be represented by 10⁴.

scientific notation is given by 63 ×  10⁴ which on simplification gives

6.3 ×  10⁵

Hence,   6.3 ×  10⁵ is that the scientific notation of the quantity.

(d) As 2,000,000 has six zeroes which can be represented by 10⁶.

scientific notation is given by 2 ×  10⁶ which on simplification gives

2.0 ×  10⁶

Hence, 2.0 ×  10⁶ is that the scientific notation of the quantity.

(e)  As 21000 has three zeroes which can be represented by 10³.

scientific notation is given by 21 ×  10³ which on simplification gives

2.1 ×  10⁴

Hence,  2.1 ×  10⁴  is that the scientific notation of the quantity.

(f)   As 231000 has three zeroes which can be represented by 10³.

scientific notation is given by 231 ×  10³ which on simplification gives

2.31 ×  10⁵

Hence,  2.31 ×  10⁵  is that the scientific notation of the quantity.

(g) As 43,000,000 has six zeroes which can be represented by 10⁶.

scientific notation is given by 43 ×  10⁶ which on simplification gives

4.3 ×  10⁷

Hence, 4.3 ×  10⁷ is that the scientific notation of the quantity.

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Question: scientific notation for the following numbers (with a power of 10).... someone pleaaaase help me!!! thnx bestie

26,000

425,000

630,000

2,000,000

21,000

231,000

43,000,000

Answer: (a) The scientific notation of 26,000 is  2.6 ×  10⁴  .

(b) The scientific notation of 425,000 is 4.25 ×  10⁵ .

(c) The scientific notation of 630,000 is  6.3 ×  10⁵ .

(d) The scientific notation of 2,000,000 is 2.0 ×  10⁶ .

(e) The scientific notation of 21,000 is 2.1 ×  10⁴ .

(f) The scientific notation of 231,000 is 2.31 ×  10⁵

(g) The scientific notation of 43,000,000 is 4.3 ×  10⁷ .

The scientific notation helps US to represent the numbers that ar terribly Brobdingnagian or terribly small during a kind of multiplication of single-digit numbers and ten raised to the facility of the individual exponent.

The exponent is positive if the quantity is extremely giant and it's negative if the quantity is extremely tiny a × 10ᵇ ; 1 a < ten

(a) As 26000 has three zeroes which can be represented by 10³.

scientific notation is given by 26 ×  10³ which on simplification gives

2.6 ×  10⁴

Hence,  2.6 ×  10⁴  is that the scientific notation of the quantity.

(b)  As 425000 has three zeroes which can be represented by 10³.

scientific notation is given by 425 ×  10³ which on simplification gives

4.25 ×  10⁵

Hence,  4.25 ×  10⁵  is that the scientific notation of the quantity.

(c) As 630000 has four zeroes which can be represented by 10⁴.

scientific notation is given by 63 ×  10⁴ which on simplification gives

6.3 ×  10⁵

Hence,   6.3 ×  10⁵ is that the scientific notation of the quantity.

(d) As 2,000,000 has six zeroes which can be represented by 10⁶.

scientific notation is given by 2 ×  10⁶ which on simplification gives

2.0 ×  10⁶

Hence, 2.0 ×  10⁶ is that the scientific notation of the quantity.

(e)  As 21000 has three zeroes which can be represented by 10³.

scientific notation is given by 21 ×  10³ which on simplification gives

2.1 ×  10⁴

Hence,  2.1 ×  10⁴  is that the scientific notation of the quantity.

(f)   As 231000 has three zeroes which can be represented by 10³.

scientific notation is given by 231 ×  10³ which on simplification gives

2.31 ×  10⁵

Hence,  2.31 ×  10⁵  is that the scientific notation of the quantity.

(g) As 43,000,000 has six zeroes which can be represented by 10⁶.

scientific notation is given by 43 ×  10⁶ which on simplification gives

4.3 ×  10⁷

Have an awesome night/day<3


Solve each equation.
2 e x-2=e x+7

Answers

After solving the given equation  [tex]2 e^{x-2}=e^x+7[/tex], the value of [tex]x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex].

What is an equation, exactly?A mathematical statement made up of two expressions joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation.We get the value of the variable x as x = 7 after solving this equation.

So,

Given equation: [tex]2 e^{x-2}=e^x+7[/tex]

Then,

[tex]2 e^{x-2}=e^x+7\\2 \frac{e^x}{e^2}=e^x+7\\2 \frac{e^x}{e^2}-e^x=7\\e^x\left(2 e^{-2}-1\right)=7\\e^x=\frac{7}{\left(2 e^{-2}-1\right)}\\x=\ln \left(\frac{7}{\left(2 e^{-2}-1\right)}\right)\\x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex]

Therefore, after solving the given equation  [tex]2 e^{x-2}=e^x+7[/tex], the value of [tex]x=\ln 7-\ln \left(2 e^{-2}-1\right)[/tex].

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i need help, i cant understand the steps to get it to where it needs to be.

Answers

The transformations that take rectangle ABCD to rectangle A'B'C'D' are given as follows:

Rotation of 90º over vertex B.Translation right.

What are transformations on the graph of a function?

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

For this problem, we have that:

Due to the orientation change, the figure was first rotated 90º over vertex B.Due to the position change, the function was translated right.

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Solve. Check for extraneous solutions. (x+3)¹/₂-1=x

Answers

-2 is the extraneous solution of the equation.

The equation is:

[tex](x + 3)^{1/2}[/tex] - 1 = x

To find the extraneous solution of the expression first we need to find the value of x.

[tex](x + 3)^{1/2}[/tex] = x + 1

Squaring both sides we have,

[tex](x+ 3)^{}[/tex] = [tex](x + 1)^{2}[/tex]

x + 3 = [tex]x^{2}[/tex] + 2x + 1

[tex]x^{2}[/tex] + x - 2 = 0

[tex]x^{2}[/tex] + 2x - x - 2 = 0

x ( x + 2 ) - 1 (x + 2) = 0

(x+2) (x-1)=0

x = -2, 1

Now we have to put the value of x in the equation:

x = -2

[tex](-2 +3)^{1/2}[/tex] - 1 = -2

1-1 =-2

0≠ -2

x = 1

[tex](1 + 3)^{1/2}[/tex] - 1= 1

2 - 1 = 1

1= 1

Therefore we get x = -2 is as extraneous solution of the equation and x= 1 is the solution of the equation.

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Sep 26, 8:04:36 AM
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For a given recipe, 24 cups of flour are mixed with 16 cups of sugar. How
many cups of flour should be used if 14 cups of sugar are used?
Assuming a constant ratio, fill out the table

Answers

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. If For a given recipe, 24 cups of flour are mixed with 16 cups of sugar. then 21 cups of flour should be used if 14 cups of sugar are used.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

24 cups of flour are mixed with 16 cups of sugar.24:16

x cups of flour should be used if 14 cups of sugar .x:14

Now

24/16=x/14

Cross multiply

24*14=16x

336=16x

x=21.

Therefore 21 cups of flour should be used if 14 cups of sugar are used.

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