If f(3) = 2, find f^-1(2)

Help pls

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

[tex]f(x)=2x^2-20x+100[/tex]

Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

[tex]9^2+1^2=82[/tex]

[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

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Answer:

The answer should be A. $125.00

Step-by-step explanation:

I rounded and added them jajaja.

Bronze sculptures ​endure long after humans have disappeared from New York city.

Human-made materials are those that humans have manufactured. Such examples are rubber, paper, plastic, furniture, and clothing. Artificial satellites are man-made. They take off from the Earth.

As, Bronze is an extremely robust substance that can withstand many circumstances that softer metals cannot.

Utilizing this metal for art pieces is fantastic because it requires no maintenance and upkeep and can survive for hundreds of years, enhancing its worth even further.

Also, Bronze is last long than Steel.

Thus, Bronze sculptures ​endure long after humans have disappeared from New York city.

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Answer:

5, 6, 7, 8

Step-by-step explanation:

f(n) = n + 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

Answer:

hmmmmm.... i'm only in 7th grade and to be honest i don't really know but i'll try on this. am i going to be doing this this year?

So from my logic in my empty  brain: 4.2?

Step-by-step explanation:

Because i flipped the pic around and so ,

First i got "x" in my brain and turned it into 9 from 8.5

then 9 divided by 8.5

wait a sec i just realized i made the most dumb mistake by dividing welp i'll just put out what i just fixed in my head and yea here ya go.

B+ for effort ?

Z- for iq?!   .-.?

Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

Answer: I don’t speak your languag ;-;

Step-by-step explanation:

Answer:

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year

Answer:

A. (0, 5)

Step-by-step explanation:

Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:

[tex]h > 0[/tex] (1)

[tex]16-2\cdot h >0[/tex] (2)

[tex]10-2\cdot h > 0[/tex] (3)

From (1), (2), (3) we find that:

(1):

[tex]h > 0[/tex]

(2):

[tex]16 > 2\cdot h[/tex]

[tex]8 > h[/tex]

[tex]h < 8[/tex]

(3):

[tex]10 > 2\cdot h[/tex]

[tex]5 > h[/tex]

[tex]h < 5[/tex]

We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:

[tex]h > 0 \,\land\,h < 5\,\land\,h< 8[/tex]

[tex]0< h < 5[/tex]

In other words, the reasonable domain for this situation is A.

Answer:

[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

Answer:

y =  [tex]-\frac{1}{2}[/tex]x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = [tex]-\frac{5}{3}[/tex] + 2x

The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  [tex]-\frac{1}{2}[/tex] x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  [tex]-\frac{1}{2}[/tex]x + 12

Answer:

AB should be the answer.

Answer:

Angles 6 and 3. Hopefully this helps.

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Answer:

6.9

Step-by-step explanation

Use the Pythagorean Theorem

a^2+b^2=c^2

a^2=c^2-b^2

  a^2=64-16

   a^2=Sqr rot of 48

         6.92820323

        6.9

Step-by-step explanation:

b is the answer , z-score normalization

Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;

Given the data:

1.)

Min - Max normalization :

Value = 200 :

[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]

Value = 300 :

[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]

Value = 400 :

[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]

Value = 600 :

[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]

Value = 1000 :

[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]

Normalized values = (0, 0.125, 0.25, 0.5, 1)

2.)

Zscore normalization :

Using a calculator :

Value = 200 :

[tex]\frac{200 - 500}{316.227} = -0.949[/tex]

Value = 300 :

[tex]\frac{300 - 500}{316.227} = -0.632[/tex]

Value = 400 :

[tex]\frac{400 - 500}{316.227} = -0.316[/tex]

Value = 600 :

[tex]\frac{600 - 500}{316.227} = 0.316[/tex]

Value = 1000 :

[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]

Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)

3.)

Decimal Scaling :

200 / 10000 = 0.02

300/1000 = 0.03

400/1000 = 0.04

600/1000 = 0.06

1000/1000 = 0.1

Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)

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Answer:

angle L is 35 degrees

angle A is 55 degrees

Step-by-step explanation:

angle L is congruent to angle C, and it is given that angle C is 35

angle A is congruent to angle N, and it is given that angle C is 55

Answer:

I think that answer is 13800

Step-by-step explanation:

Answer:

Substitute n with the given value which is 18:9

Ratio(:)means fraction, so

1/18:9

To make it easier

1×9/18

Then multiply 1 and 9

9/18=1/2 which equals to 1:2

Step-by-step explanation:

I hope this helps, please give me brainliest

Answer:

1/2

Step-by-step explanation:

1:n

1/(18/9)

9/18

1/2

So 1/2 will be answer

Answer:

-2

Step-by-step explanation:

Gradient of perpendicular lines is -1

so divide -1 by ½

u get -2

Step-by-step explanation:

1/1=56÷£×€×^×/÷/€×€÷£÷88÷

Answer:

65

Step-by-step explanation:

394/6

When 394 divided by 6 then

we get 65 quotient and 4 remainder

Answer:

vvvvvvvvvv

Step-by-step explanation:

~ Is a sign for similarity. This essentially means you can do rigid transformations to a shape to get the exact shape of another. You would need proportional sides and congruent angles for this to work. The shapes are not proportional so it is not similar.

Answer:

y - 8 = 1/3 (x + 2)

Step-by-step explanation:

The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).

Hope this helps!

The equation of the line will be written as to y - 8 = 1/3 (x + 2).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

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Answer:

try 15 / 2.25

Step-by-step explanation:

Answer:

3,805 pounds of cement for $266.35 is a better buy

Step-by-step explanation:

3,805 pounds of cement for $266.35

266.35 : 3,805= 0.07

check your work:  3,805 x 0.07 = 266.35

so for the first offer you will be paying $0.07 per pound

5 tons of cement for $1,400.00

1 ton = 2000 pounds

5 tons = 10000 pounds

1,400.00 : 10000 = 0.14

for the second offer you will be paying $0.14 per pound of cement. 3,805 pounds of cement for $266.35 is a better buy because you will be paying half of the price for each pound.

hope this helps!

Answer:

Step-by-step explanation:

Perimeter of rectangle=2(height+base)

Given perimeter=186km

Height=37 km

So 186=2(37+base)

93=37+base

Base=93-37=56 km

Answer:

m= 2

b= -2

-2x+2

Step-by-step explanation:

Hope that helps!