If f(x) and f¹(x) are inverse functions of each other and f(x) = 2x+ 5, what is ƒ˜¹ (8) ?

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.

Here,

Hypotenuse (H) = 87 inch

Base (B) = 60 inch

Perpendicular (P) = [To be calculated]

As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :

H² = P² + B²

[tex] {87}^{2} = {P}^{2} + {60}^{2} \\ \\ \implies \: 7569 = {P}^{2} + 3600 \\ \\ \implies \: 7569 - 3600 = {P}^{2} \\ \\ \implies3969 = {P}^{2} \\ \\ \implies \: P = \sqrt{3969} \\ \\ \implies \: P = 63[/tex]

The length of the paper is 63 inches.

[tex] \boxed{ \frak \pink{BrainlyDamurai}}[/tex]

To solve this problem, let's simply find the difference in the distance between the two locations.

To express this integer, we need to define the locations with variables and then calculate the difference.

The difference between the two location can be written as

[tex]Pilot - Nashville = B - A = 39000 - 595 = 38405ft[/tex]

The two integers that represent this scenario are 595 and 39000 respectively.

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Answer:

firstly the inner brackets are simplified followed by the outer brackets, and finally the value we got from simplifying brackets is multiplied with 9

By evaluating the piecewise function, we get:

g(-2) = 0.

g(4) = 4.

A piecewise function is a function that behaves differently in different parts of its domain.

Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:

g(-2) = 0.

For x = 4, it belongs to the third domain, then we have:

g(4) = 4.

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Decomposition in factors of 50: 2 · 5².

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0[/tex]

[tex]\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}[/tex]

[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{5^2}=5[/tex]

[tex]=\sqrt{2}\cdot \:5[/tex]

[tex]\bf{=5\sqrt{2} \ === > \ Answer }[/tex]

Option C

↓

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{MyHeritage} \end{gathered}$}}}[/tex]

Comparing the two data sets shown below

Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.

Both the mean and the median can be used to describe where the “center” of a dataset is located.

So, the mean of data in 2022 is more than mean of data in 2018.

It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.

As the variance of 2022 more than in variance in 2018.

A high variance indicates that the data points are very spread out from the mean, and from one another.

As the standard deviation of 2022 more than in standard deviation in 2018.

The high standard deviation indicates data are more spread out.

The bigger the range, the more spread out the data.

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The value of cos 45 in a right angle triangle is 1/√2.

The trigonometry ratios are ratios that can be used to determine the side and angles of a triangle depending on the known parameter. The basic trigonometry ratios are denoted by the acronym: SOH CAH TOA

i.e.

From the given diagram, we are to find the Cos 45°

i.e.

θ = 45°

Let's recall the angle 45 45 90 theorem that states that right angles have the following values for the sides:

Since

Cos θ = adj/hyp

Cos 45 = 1/√2

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Answer:

-11/4

Step-by-step explanation:

slope = [tex]\frac{-3-8}{9-5} =\frac{-11}{4}[/tex]

Hope this helps

Answer:

-11/4

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-3 - 8)/(9 - 5) = -11/4

Answer:

3.678 Kilograms

Answer:

3678/1000

=3.678kg

the answer is 3.678kg

The area of the entire sector is [tex](\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi[/tex]

The area of the triangle OAB is [tex]\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}[/tex].

So, the area of the segment is [tex]\boxed{6\pi-9\sqrt{3}}[/tex]

An equation is formed of two equal expressions. The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is,

4ˣ=(1/8)ˣ⁺⁵

(2²)ˣ = (2⁻³)ˣ⁺⁵

2²ˣ = 2⁽⁻³ˣ⁺¹⁵⁾

2x = -3x + 15

5x = 15

x = 3

Hence, the value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.

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Answer:

i don't understand your question

Step-by-step explanation:

Answer:

Its C or D, I would say C tho

Step-by-step explanation:

I took the test and both A and B are wrong

The scale factor of the dilation of line segment BA is 1/5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure.

From the diagram:

scale factor of BA = AC / CA' = 4 / (4 + 16) = 1/5

The scale factor of the dilation of line segment BA is 1/5.

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Answer:

B

Step-by-step explanation:

I do believe

Answer:

w = 10

Step-by-step explanation:

First we take the two values for the breadth of the rectangle

So:

5x - 9 = 3x + 7

now we solve this equation as follows:

5x - 3x = 9 + 7

2x = 16

x = 8

now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.

when we substitute x in any of these equations, we get

5(8) - 9 = 31

3(8) + 7 = 31

now that we have the value for the breadth we can form the following equation:

31 × w = 310

31w = 310

w = 310/31 = 10

Answer:

10

Step-by-step explanation:

Firstly, we find the value of X

since 5X-9 and 3X+7 are lenghts

5X-9= 3X+7

5X-3X= 7+9

2X = 16

dividing bothsides by 2

2X/2= 16/2

X = 8

Hence,

5X-9= 5(8)-9= 40-9 = 31

3X+7=3(8)+7= 24+7= 31

To find the width

Area= lenght×width

310= 31×w

31w= 310

w= 310/31

W= 10

Answer:

total fruits and dips=4+2=6

P(select banana&peanut butter)=banana+peanut /total fruits and d

Step-by-step explanation:

total fruits and dips=4+2=6

P(select banana&peanut)=banana+peanut/total fruits and dips

P(select banana&peanut)=1+1=2/6

=1/3

Answer:

0.6= 6/10

[tex]0.6 = 6 \div 10[/tex]

Step-by-step explanation:

To convert a decimal to a fraction

 place the decimal number over its place value

For example

in 0.8 the 8is in the tenths place,

so we place 6 over 10 to create the equivalent fraction, 8/10.

example 2

=6.25

625/100

25/4

Answer:

y=1/2x+5/2

Step-by-step explanation:

The slope will not change if the line is parallel.

So start with 1/2x and plug in 1.

You will get 1/2 and you need to get a total of 6/2 to get a y of 3.

since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.

Answer:

$43 + $6l

Step-by-step explanation:

Hello!

She spends $43 and bus several $6 laces.

We don't know how many she buys, but we know that we can represent that number using l.

That means she spends $43 + $6l.

The algebraic expression is $43 + $6l.

We can determine the price if we know the number of laces she buys. We can simply plug in the number of laces she bought, and we can plug it in for l in the equation.

Answer:

43= 6(x)

Explanation:

43 is the total,  and each of them are 6$ each. X is the variable that we don't know.

The distance in metres between the towns in real life is 1600000 meters

The scale ratio is given as:

Scale = 1 cm : 200000 m

The map distance of 8cm implies that:

8 cm : Real = 1 cm: 200000 m

Express as fraction

Real/8 = 200000 m/1

Multiply both sides by 8

Real = 1600000 m

Hence, the distance in metres between the towns in real life is 1600000 meters

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Answer:

x = 3

Step-by-step explanation:

Setup a proportion

[tex]\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3[/tex]

Answer:

[tex]4x^3+7x^2+5x+2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=4x^2+5x-3[/tex]

[tex]g(x)=4x^3+3x^2+5[/tex]

[tex]\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}[/tex]

Answer: the maximum of three

Step-by-step explanation: each number has  2 significant figures. so 10.85 has four significant figures and must be rounded to 11 so it can have a maximum of three

15.23*3.6=54.83

Answer:

8 + 4i

Step-by-step explanation:

according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i

Answer:

1) C. x-1 tells us that it has decreased by a value

2) original number of apples

3) 4(x-1)=28. Divide by 4, then take the 1 over

[tex] \sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7} [/tex]

[tex] \sqrt{(9 \: + \: \sqrt{7} ) ^{2} } [/tex]

[tex] \boxed{ \bold{9 \: + \: \sqrt{7} }}[/tex]