Mathematics High School

If f(x) and ¹(x) are inverse functions of each other and f(x) = 2x+5, what is f¹ (8)?
-1
T MIN 700
3
8
23

Answers

Answer 1

Answer: 3/2

Step-by-step explanation:

[tex]f^{-1}(8)=k \implies f(k)=8\\\\\therefore 2k+5=8\\\\2k=3\\\\k=\frac{3}{2}[/tex]

Related Questions

six times the quantity two x plus three y

Answers

Answer:

12x + 18y

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Step-by-step explanation:

Answer:

6(2x+3y)

Step-by-step explanation:

Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]

Answers

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

help me....................

Answers

Answer:

help me plssssssssssssss...

Answer:

it's 18+21 so 39

Step-by-step explanation:

anymore help ?

solve -2(3x – 1)-2x = -3 – 5x + 13

Answers

Answer:

×=11

Step-by-step explanation:

-2(3×-1)-2=-3-5×+13

-6×-1-2×=-3-5×+13

-6×+2×+5×=1-3+13

1×=11

×=11

find the domain and range of fx= 2-3sinx​

Answers

Answer:

domain expansion

Step-by-step explanation:

jujutsu kaisen brúh

Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)

Answers

i’m pretty sure it’s B

I just took the test and the right answer is 6,5


[tex]2 \sin(x) - \sqrt{3} = 0[/tex]

[tex] when\frac{\pi}{2} \leqslant x \leqslant \pi[/tex]
​

Answers

Given:

The equation is

[tex]2\sin x-\sqrt{3}=0[/tex]

When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

To find:

The value of x.

Solution:

We have,

[tex]2\sin x-\sqrt{3}=0[/tex]

It can be written as

[tex]2\sin x=\sqrt{3}[/tex]

[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]

It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]

[tex]x=\dfrac{3\pi-\pi}{3}[/tex]

[tex]x=\dfrac{2\pi}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].

Which equation represents a line which is parallel to the line y=2x-5
1. 2x+y=8
2.x+2y=-4
3.y-2x=-8
4.x-2y=6

Answers

Answer:

3

Step-by-step explanation:

when two lines are parallel, they have the same slope

you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope

slopes:

1. -2

2. -1/2

3. 2

4. 1/2

Answer:

3. y-2x=-8

Step-by-step explanation:

I am not very good at math, and my daughter finished her math assignment and wasn't sure if she did everything correctly. Can someone make sure this is correct?

Answers

Answer:

I think its correct I don't know tho

Step-by-step explanation:

Plz help me step by step explanation would help for work plzzzz And Thank you​

Answers

Answer:

Step-by-step explanation:

5z=75

5z/5=75/5

z=15

What is the least common multiple of 3, 2, and 9?

Answers

Answer:

18 is the LCM

(10^2 )^3
i need some help

Answers

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

solve -3 (x + 1) - 2x= -6

A x=1
B x=5
C x = -7
D x = -9

Answers

Answer: C

Step-by-step explanation:

the answer is x= 3/5

The product of two consecutive positive integers is 56. Find the two integers

Answers

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball

Answers

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Solve the system of linear equations

Answers

Answer:

There are infinite answers. it is the same line

Answer:

Infinite solutions

Step-by-step explanation:

You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on your side of the canal, you come up with 40 ft. and 16 ft. Find the distance x across the canal . Show all work

Answers

Answer:

36.7 ft

Step-by-step explanation:

Measurements for the sides of the canal is given as: 40 ft. and 16 ft.

You solve the above question using Pythagoras Theorem

The distance across the canal is calculated as:

√(40² - 16²)

= √(1344)

= 36.66060556 ft

Approximately = 36.7 ft

Therefore, the distance x across the canal = 36.7 ft

cual es el opuesto de -5

​

Answers

Answer:

I think number 5

A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.

Answers

Answer:

2009.6  and 13824 minutes and 230.4 hours

Step-by-step explanation:

v=3.14 x 4 x 2 x 80= 2009.6

...what's
[tex] \sqrt{169} [/tex]
​

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

Please answer this immediately pleasee

Please i need it now

Answers

1. False 2.true 3. False 4. True 5. True

What is the answer for g 3= g/3=-9

Answers

Answer:

1 = -9

Step-by-step explanation:

Just substitute 3 for g

then 3/3 = 1

how to find cp if loss and sp are given​

Answers

Step-by-step explanation:

[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !

When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :

✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]

[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?

We simply derived the formula from Loss = CP - SP.

First , Swap the sides of the equation :

⟶ [tex] \text{CP - SP = Loss}[/tex]

Move SP to right hand side and change it's sign :

⟶[tex] \text{CP = Loss + SP}[/tex]

This is how , CP can be obtained when we are given loss and SP.

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!

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A group of friends were working on a student film that had a budget of $1200. They used $756 of their budget on props. What percentage of their total budget did they spend on props? ​

Answers

Answer: 63

Step-by-step explanation:

756/x = 1200/100

Cross multiply

75600 divided by 1200x

= 63

The percentage of budget used by them is 63%, the calculation is done by using the percentage used method.

Percentage-based problem:

What information do we have?

Amount of budget = $1200

Amount of budget used = $756

Percentage of budget used = [Amount of budget used / Amount of budget]100

Percentage of budget used = [756 / 1200]100

Percentage of budget used = 63%

Find out more information about 'Percentage'.

https://brainly.com/question/13450942?referrer=searchResults

In the number 8246315 what digit is in the hundreds place?​

Answers

Answer:

the digit 3 is in the hundredths place

Step-by-step explanation:

8,246,315

the 3

Answer:

3

Step-by-step explanation:

PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!

Answers

g(h(0)) = 20

h(x) = x+4
h(0) = 0+4
h(0) = 4

g(x) = 5x
g(h(0)) = g(4) = 5(4) = 20

A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle​

Answers

Answer:

2/15 inches

Step-by-step explanation:

(2/5)*(1/3)=2/15in

Can you just get KA answers from somewhere Help me? pleases

Answers

Answer:

I went through khan academy and the answer is this.... Also what is your microsoft teams Account?

Step-by-step explanation:

Help?
1. List the terms in the expression using a comma to separate each term.
This question will be graded by your teacher. *
10x + 5 + 3x + 1
Vhur answer
2. list the coefficients in the expression,

Answers

Answer:

10x, 5, 3x, 1 There are four terms

2) The coefficients are 10 and 3

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