If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?


PLZ HELP

Answer:

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

Step-by-step explanation:

The picture (attached) shows two isosceles right triangles, so the altitude marked x splits the bottom side in half, 4 units and 4 units.

Each triangle is a right triangle with one leg of length 4, hypotenuse 6. Use the Pythagorean Theorem (leg)^2 + (leg)^2 = (hypotenuse)^2.

[tex]4^2+x^2=6^2\\16+x^2=36\\x^2=20\\x=\sqrt{20}\\x=2\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

x=5

Answer:

x is 5.

Step-by-step explanation:

X varies directly with y, so we can use the equation x = yk (with k standing for the constant of variation) to find what the constant is. Substitute 3 for x and 15 for y

3 = 15k

Now divide both sides by 15.

3/15 = k

3/15 simplifies to 1/5.

1/5 = k

Now that we know the constant, then what we need to do is find 1/5 of 25 to get x.

1/5(25) = x

Multiply 1/5 by 25 to get 5.

5 = x

The problem is solved.

X will be 5 in this scenario.

Answer:

Q10 is 13.64 cm3

Q 11 is 221 cm3

Step-by-step explanation:

volume is cross sectional area times height for Q 10

volume is length times width times height for Q 11

Answer:

28 days

Step-by-step explanation:

No it is not correct.

Answer:

3,2

Step-by-step explanation:

Answer:

it is 72

Step-by-step explanation:

Answer:

It will look like this

Step-by-step

Answer:

Its B

Step-by-step explanation:

Answer:

0 i think

Step-by-step explanation:

Answer:

The answer is -69,420 ! 69,420 - 69,420 = 0. next you multiply it and its 0 again then you add it 69,420 then subtract it equals 0 then subtract again it equals -69,420 then multiply it equals -69,420 then you have to add 69,420 it equals 0 again then you subtracted 69,420 and that means its -69,420!

Step-by-step explanation:

Answer: 6%

pls give me brainliest ty

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Lets simpify one side first

8x - 2x + 7 +2

8-2 = 6

so 6x

7-2 = 5

6x+9

10x - 5 = 6x +5

(You add 5 due to it being negative on the other side)

+5             +5

10x= 6x +10

-6x    -6x

4x = 10

Divide each side by 4

x = 2.5 or 10/4 or 5/2

Answer: No

Step-by-step explanation: To find whether these are equivalent, we first need to simplify the equation on the right.

8x-2x+7-2

8x-2x+5  (work-    7-2 = 5)

6x+5       (work-    8x-2x=6x) These are like terms, so we can subtract them

now that we have simplified, let's write the equations once again.

10x-5=6x+5

they are surely not equivalent

Answer:

8 quarts

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Water = 2 quarts

Orange Juice = 1quarts

Mango Juice = 2 quarts

Strawberry juice = 1 quart

Pineapple Juice = 2 quarts

So, Total mixture = Sum of all ingredients in quarts

= 2 + 1 + 2 + 1 + 2 = 8 quarts

Hence, Maria makes 8 quarts of punch.

Answer:

= − 1 4

Step-by-step explanation:

Answer:

z = - 14

Step-by-step explanation:

Solving for z using basic algebra

3(2z + 3)  = -75

Step 1 distribute the 3

3 * 2z = 6z

3 * 3 = 9

now we have 6z + 9 = -75

step 2 subtract 9 from each side

9 - 9 cancels out

-75 - 9 = -84

now we have 6z = - 84

step 3 divide each side by 6

6z / 6 cancels out

-84 / 6 = -14

we're left with z = -14

Answer:

8⁴

Step-by-step explanation:

8*8*8*8 =8⁴

8 exponent 4

Answer:

[tex]8^{4}\\[/tex]

Step-by-step explanation:

An exponent describes how many times the base is repeatedly shown. For instance:

6³

6 is the base and 3 is the exponent. Because the exponent is 3, the base is repeated that many times. Here's what I mean:

6² = 6 (6) (6)

So in 8 (8) (8) (8), the base would be 8 and this is repeated 4 times. So the exponent would be 4.

So your answer would look like [tex]8^{4}[/tex].

Answer:

Answers in the question are A, B, and E.

The answers to the table are:

         yes     no     total

yes:     12      25      37

no:      12       6        18

total:   24      31       55

Hopefully this helped, sorry if I was too late :)

Answer:

673,210,000

Step-by-step explanation:

The given number is :

N = 6.7321 × 10⁸

We need to write it into the standard form.

10⁸ = 100000000

It can be calculated as follows :

6.7321 × 100000000 = [tex]\dfrac{67321 }{10000}\times 100000000[/tex]

= 673,210,000

So, the standard form of the given number is 673,210,000. Hence, the correct option is (c).

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

[tex]a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\[/tex]

these options correspond to a and b from the original question.

answer:

16.24 or 12 square root of 18

Answer:

Los emprendedores se enfrentan a muchos desafíos en el mundo empresarial ultracompetitivo de hoy. Afortunadamente, los emprendedores también tienen más recursos que nunca para abordar esos problemas.

Hoy en día, muchos emprendedores enfrentan los siguientes 10 desafíos. Quizás ya te hayas enfrentado a algunos de ellos. Siga leyendo para saber por qué existe cada desafío y para obtener soluciones y soluciones para que pueda operar su negocio de manera eficiente y exitosa.

Answer:

128

Step-by-step explanation:

Sum of interior angles of a 4 sided quadrilateral is 360.

90 + 90 + 52 + x = 360

232 + x = 360

x = 360 - 232

x = 128

Answer:

B. A. D.

Step-by-step explanation:

Answer:

the answer will be 244rhruiewowworbvrueie

Answer:

JK = 18.8

Step-by-step explanation:

7/33 = 4/JK

132 = 7JK

JK = 18.86

Answer:

JK=18.8

Step-by-step explanation:

so we are given that ΔGHI ~ ΔJKL

GI~JL (because corresponding parts of similar triangles are similar)

so GI/JL=ratio of similitude=7/33

GH~JK (corresponding parts of similar triangles are similar)

and GH/JK=ratio of similitude

so:

GH/JK=GI/JL

subsitute known values

4/JK=7/33

cross multiply

7JK=132

divide

JK=132/7

simplify and round

JK≈18.8

hope this helps!

The coordinates of A' after the dilation is (-4,6)

The given parameters are:

A = (-6,9)

B = (12, -3)

Scale factor, k = 2/3

The coordinates of A' is then calculated as:

A' = A * k

This gives

A' = (-6,9) * 2/3

Evaluate the product

A' = (-4,6)

Hence, the coordinates of A' after the dilation is (-4,6)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

Determine whether the set of lengths could form a triangle 5, 2 and 3. No it can not form a triangle.

Step-by-step explanation:

5 + 2 is greater than 3. 5 + 3 is greater than 2. 3 + 2 is not greater than 5

Answer:

No, the set of lengths - 5, 2 and 3 will not form a triangle.

Step-by-step explanation:

As we know,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

[tex]5 + 2 > 3[/tex]

[tex]3 + 5 > 2[/tex]

[tex]2 + 3 = 5[/tex]

Therefore,

it does not satisfy the statement.