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tangare [24]
2 years ago
11

0.55 to .1 percentage decrease

Mathematics
2 answers:
Bezzdna [24]2 years ago
7 0

Answer:  0.54945 is a 0.1% decrease of 0.55.

Step-by-step explanation:

Triss [41]2 years ago
3 0
<h2>>> Answer </h2>

_______

0.55 \to0.1

=  \frac{55}{100}  \to \frac{10}{100}

= 55\% \to10\%

= -45%

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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
vichka [17]

Answer:

A(-1,0) is a local maximum point.

B(-1,0)  is a saddle point

C(3,0)  is a saddle point

D(3,2) is a local minimum point.

Step-by-step explanation:

The given function is  

f(x,y)=x^3+y^3-3x^2-3y^2-9x

The first partial derivative with respect to x is  

f_x=3x^2-6x-9

The first partial derivative with respect to y is  

f_y=3y^2-6y

We now set each equation to zero to obtain the system of equations;

3x^2-6x-9=0

3y^2-6y=0

Solving the two equations simultaneously, gives;

x=-1,x=3  and y=0,y=2

The critical points are

A(-1,0), B(-1,2),C(3,0),and D(3,2).

Now, we need to calculate the discriminant,

D=f_{xx}(x,y)f_{yy}(x,y)-(f_{xy}(x,y))^2

But, we would have to calculate the second partial derivatives first.

f_{xx}=6x-6

f_{yy}=6y-6

f_{xy}=0

\Rightarrow D=(6x-6)(6y-6)-0^2

\Rightarrow D=(6x-6)(6y-6)

At A(-1,0),

D=(6(-1)-6)(6(0)-6)=72\:>\:0 and f_{xx}=6(-1)-6=-18\:

Hence A(-1,0) is a local maximum point.

See graph

At B(-1,2);

D=(6(-1)-6)(6(2)-6)=-72\:

Hence, B(-1,0) is neither a local maximum or a local minimum point.

This is a saddle point.

At C(3,0)

D=(6(3)-6)(6(0)-6)=-72\:

Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.

At D(3,2),

D=(6(3)-6)(6(2)-6)=72\:>\:0 and f_{xx}=6(3)-6=12\:>\:0

Hence D(3,2) is a local minimum point.

See graph in attachment.

3 0
3 years ago
Directions:Classify the following polynomials by degree and number of terms.
Dovator [93]

Answer:

Question 2: The degree is 3 and the terms are 2, Binomial

Question 3: The degree is 2 and the terms are 3, Polynomial

Step-by-step explanation:

3 0
3 years ago
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
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The length of an edge is the cubic root of the volume.

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5 0
2 years ago
Encuentra los cuatro siguientes terminos de la sucesion y el numero que los relacina 7 4 7 2 7 14
fredd [130]
you translate in English
7 0
3 years ago
What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2?
Kamila [148]
Point slope equation: 
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So we simply plug in our given information: 
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2 minus signs next to each other make a positive 

Final answer: 
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6 0
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