Identify if each given value is a zero of the equation 0=18c3−50c

Without using any calculus:

If x + y² = 5, then y² = 5 - x, so that

b = x y² = x (5 - x) = 5 x - x²

Complete the square to get

b = 25/4 - (x - 5/2)²

Then b gets a maximum value of 25/4 when x = 5/2.

Simple calculus method:

With b = 5 x - x², differentiate b with respect to x and set the derivative equal to 0 to solve for critical points:

db/dx = 5 - 2 x = 0   ==>   x = 5/2

Take the second derivative to determine whether b is concave or convex:

d²b/dx² = -2

The second derivative is negative, which means b is concave with respect to x, and this indicates x = 5/2 is the site of a local maximum, which is b (5/2) = 25/4.

More complicated calculus method:

Lagrange multipliers. The Lagrangian is

L (x, y, λ) = x y² - λ (x + y² - 5)

where we assume λ ≠ 0.

Take its derivatives:

dL/dx = y² - λ

dL/dy = 2 x y - 2 λ y

dL/dλ = x + y² - 5

Set each derivative equal to 0 to find the critical points. The first equation tells us y² = λ, and the second equation tells us x = λ, so

x + y² - 5 = 2 λ - 5 = 0

Solving this gives λ = x = y² = 5/2, so that b has an extreme value of

b = (5/2) (5/2) = 25/4

Deciding whether this is a maximum or minimum comes down to computing the Hessian determinant at the critical value. The Hessian is

[tex]H(x,y)=\begin{bmatrix}\dfrac{\partial^2b}{\partial x^2}&\dfrac{\partial^2b}{\partial x\partial y}\\\\\dfrac{\partial^2b}{\partial y\partial x}&\dfrac{\partial^2b}{\partial y^2}\end{bmatrix}=\begin{bmatrix}0&2y\\2y&2x\end{bmatrix}[/tex]

with determinant |H (x, y)| = -4 y². At the critical point, the determinant is -10 < 0, which indicates a maximum value of 25/4.

Answer:

Your answer is 78.75 oz.

Step-by-step explanation:

15.75 * 5 = 78.5 oz.

Hope this helps.

Answer:

78.75 oz

Step-by-step explanation:

okay I'm not sure, but I think the question is each pack weighs 15.75 how many does it weigh in all like all 5 packs if so all you have to do is do multiplication 15.75 and 5  (15.75 to represent what each pack weigh) ( and 5 to represent each pack)   to get the answer of 78.75 in total.

hope i helped

Answer:

∠L = 50°

Step-by-step explanation:

∠R = 109°

∠U is supplementary to ∠R

This means ∠R + ∠U = 180°

109° + ∠U = 180°

Subtract ∠R from 180° to get ∠U

∠U = 81°

A triangle's angles must add up to 180, so if we take ∠U + ∠E, we figure out what 2 of the 3 angles add up to, we can then subtract this sum from 180 to figure out ∠L

81° (This is ∠U) + 49° (This is ∠E) = 130°

180° (Sum of all of a triangle's angles) - 130° (Sum of ∠U and ∠E) = 50° (∠L)

Answer:

Step-by-step explanation:

see attached image.

add all internal angles and equal to 180

∠U + ∠L + ∠E = 180

∠U = 180 - 109

     = 71

plug in values from equation:

∠U + ∠L + ∠E = 180

71 + ∠L + 49 = 180

∠L = 180 - 49 - 71

∠L = 60

Answer:

14

Step-by-step explanation:

Answer:

0.0405

Step-by-step explanation:

10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.

Another way to think about it is by looking at the exponent -2.  You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.

So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.

Step-by-step explanation:

A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. This lends itself to intuitive visualizations; for example, the set of all elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions S and T.[1][2] In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. They are thus a special case of Euler diagrams, which do not necessarily show all relations. Venn diagrams were conceived around 1880 by John Venn. They are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science.

Venn diagram showing the uppercase glyphs shared by the Greek, Latin, and Cyrillic alphabets

A Venn diagram in which the area of each shape is proportional to the number of elements it contains is called an area-proportional (or scaled Venn diagram).

Convert 3 1/2 to a improper fraction:

3 1/2 = 7/2

Divide 7/2 by 1/4:

7/2 ÷ 1/4

7/2 × 4/1

28 / 2

= 14

Joaquin has finished 14 assignments

Answer:

14

Step-by-step explanation:

Answer: M=(c-12)-a

Step-by-step explanation:

this is because your trying to find m and 12a doesn't represent that.

Answer: 5 hours

Step-by-step explanation: the equation is

35x + 25 = 40x just solve it to get 5

Answer:

Feet / per second

4 feet/per second

Step-by-step explanation:

Answer:

D :)

Step-by-step explanation:

Answer:

The answer is d

Answer:

the 2nd one

Step-by-step explanation:

Answer:

yes, i think, hope i helped ^_^ there has to b a proportional relationship between them

Step-by-step explanation:

Answer:

i think its yes not to sure sorry

Step-by-step explanation:

Answer:

8 milk cartons and 4 dollars

Answer:

It's 8 milk cartons and 4 dollars/Price

Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.

Answer:

1 dollar

Step-by-step explanation:

If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)

Answer:

Step-by-step explanation:

7p-12< 45

_

The inequality that can be used to find p is 7p -12 < 45. The correct option is B.

A triangle is a polygon with three sides, three angles, and three vertices.

The perimeter of the given triangle is at most 45 centimeters.

The perimeter of a triangle is equal to the sum of all sides

The sides given is 3p-6 , 3p-6 ,p

So,

3p-6 +3p-6 +p < 45

7p -12 < 45

Therefore, the inequality that can be used to find p is 7p -12 < 45. The correct option is B.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ2

Answer:

yes, she will still have 1/8 of a cup left

Step-by-step explanation:

you have to convert all the fractions to have the same denominator.

to do that you need improper fractions

3  1/2= 7/2

1  5/8= 13/8

1  3/4= 7/4

with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.

so 7/2 becomes 28/8

13/8 stays the same

and 7/4 becomes 14/8

add 13/8 and 14/8 and subtract from 28/8

you get 1/8, which means you have enough flower for both recipes!

Answer:

[tex]YES.[/tex]

Step-by-step explanation:

[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]

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Fraction :

[tex] \frac{1}{2} \\ [/tex]

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Decimal :

[tex]0.5[/tex]

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Percent : 50 %

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Answer:77 is the length

Step-by-step explanation:52m times 2 =104 104-258=154 divided by 2 =77

Answer:

77

Step-by-step explanation:

Since the two widths is 52+52=104, then subtract that from the total perimeter, 258-104=154, and divide it by two to get the answer, 154/2=77.

Answer:

4

Step-by-step explanation:

Answer:

Yes you can

Step-by-step explanation:

Answer:

Where's the table?

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

Answer:

The answer is $85.45 after the 5% discount

Answer:

The option is  A

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.29[/tex]

    The sample size is  n  = 451

    The number that was having difficulty is  k  =  183

Generally the sample proportion is mathematically represented as

     [tex]\^ {p}  =  \frac{k}{n}[/tex]

=>  [tex]\^ {p}  =  \frac{183}{451}[/tex]

=>   [tex]\^ {p}  =   0.4058[/tex]

Generally the test statistics is mathematically represented as

    [tex]t = \frac{ \^ {p} -  p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>  [tex]t = \frac{0.4058 -  0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]

=>  [tex]t =  5.42 [/tex]

Answer:

-2, 0

I think I haven’t done this in 3 years lol

Answer:

-2,0

Step-by-step explanation:

X is -2 and Y is 0.

So X,Y = -2,0.