Solve for C:
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The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We kindly invite to check this question on first and second derivative tests:  https://brainly.com/question/6097697

Answer:

the answer is 12.2

[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]

Answer:

AB=12

Hope this helps!

Answer:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

Answer:

4. We don't know if they're right triangles

Step-by-step explanation:

If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.

Answer:

ayúdame a encontrarla soy de Perú por favor ayuda

Answer:

x = -4 and y = -15

Hope This Helps!!!

Answer:

ax + by

Step-by-step explanation:

i hope its correct

if its wrong then im sorry :)

Answer:

  -1

Step-by-step explanation:

The average rate of change of function f(x) on the interval [a, b] is ...

  m = (f(b) -f(a))/(b -a)

We have ...

  f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4

  f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2

Then the average rate of change is ...

  m = (2 -4)/(1 -(-1)) = -2/2 = -1

The average rate of change on the given interval is -1.

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Answer:

a) 5.25m^2

b) 1 can

Step-by-step explanation:

a)

area of a triangle = bh/2

=(4.2 x 4.5)/2

=18.9/2

=9.45m^2

area of a rectangle = 2(l+w)

=2 x (0.6 + 1.5)

=4.2m^2

9.45-4.2 = 5.25m^2

b) 1 can, you can't have a partial can of paint

Answer:

It can't get more simple than that (*nose growing*)

Step-by-step explanation:

50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing

35 = 100%

x = 50%

100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)

100x = 1750

x = 1750 / 100

x = 17,5

Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Answer:

After reviewing the question you posted I have deduced that the correct answers are:

11) Max has $10.00. He earns $25.75 per lawn that he mows.

12) No. She is wrong. She did not group like terms correctly.

Step-by-step explanation:

11)

For 11) I first identified the independent variable of the equation, being "10".

And then the dependent variable of the equation, being "25.75". (The dependent variable of an equation will always be affected by the x)

I then looked at all the possible answers to see which one shared a independent variable of "10" and a dependent variable of "25.75".

The only possible answer that matches is Max has $10.00. He earns $25.75 per lawn that he mows.

This is because the only two possible answers that have "10" being a variable that does not change (independent variable) are:

--- "Max has $10.00. He earns $25.75 per lawn that he mows.

--- "Jon buys 10 toycars for $25.75 each"

However!

"Jon buys 10 toycars for $25.75 each" is an incorrect answer because it uses "10", although independent, as the x variable that affects the independent variable of "25.75".

12)

To find the correct answer for this question I simplified the equation from:

8t-15+3t   =   11m-15

Into:

8t+3t-15   =   11m-15

Which further simplifies into:

11t-15   =   11m-15

Which then you can notice that the two equations are similiar indeed, however they do not share like terms. One equation has "t" as their term, and the other as "m" as their term. Thus they do not share any like terms and are not equivalent.

Answer:

With discount : $37.76

With tax : $56.38

With both : $40.19

Step-by-step explanation:

Hope this helps

Answer:

y = -2x +4

Step by step explanation:

y = -2x +4

Hello, hope you are having a splendid day.

First, we should calculate the slope of the line (Rise/Run)

The rise is how many units we move up or down; the run is how many units we move left or right.

Here, we move down 2 and over 1, so the slope is -2

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 4.

Our equation looks lke so:

y=-2x+4

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others on Brainly :)

[tex]MagicalNature[/tex]

Good luck.

Answer:250

Step-by-step explanation:

a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)

Answer:

l = P -2w

________ D is the correct choice

2

Answer:

3

2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

set up point slope form

y + 8 = 2(x-1)

set y to zero

0+8=2(x-1)

8=2x-2

10= 2x

x = 5

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]

It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].

The maximum value is the value of the function at the vertex, hence:

[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]

The maximum height of the punt is of 27.7 feet.

A similar problem is given at https://brainly.com/question/16858635

Answer:

864 inches

12*3=36

36*24=864

Step-by-step explanation:

Hope this helps:)

Answer:

12*3=36

36*24=864

Step-by-step explanation:

Answer:

Step-by-step explanation:

After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.

First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.

THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )

I suppose, you must have visualised the superstructure.

Thanks.

Answer:

240$

Step-by-step explanation:

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

48 : 20 * 100 = 240

REFER THE PICTURE FOR YOUR ANSWER !!

Whats 1/2 + 8/11

___________________

= 1/2 + 8/11

= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)

= 11/22 + (8 × 2)/(11 × 2)

= 11/22 + 16/22

= (11 + 16)/22

= 27/22

= 1 5/22 ☑️

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

[tex]-20x=-16-9y\\-14x=-22-9y[/tex]

Solve by elimination, subtract the 2nd row from the 1st row:

[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]

Solve for x in the equation above

[tex]-6x=6\\x=-1[/tex]

Now we have the value of X, substitute it into any of the 2 original equations:

[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]

Solve for y:

[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]

Please mark brainliest if this answer helps you. I can provide more information if needed.

Answer:

Volume is the amount of space taken up by an object