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sleet_krkn [62]
3 years ago
7

For what values of a are the following expressions true? |a+5|=−5−a plz help

Mathematics
2 answers:
ANEK [815]3 years ago
6 0
The answer is just a=0, you have to cross out the fives
Olin [163]3 years ago
4 0
The answer is 0 "a=0"
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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
Joe has some pocket money. He spends 90% of it. He has fifty pence left. How much pocket money did he have?
nirvana33 [79]
£5 g g ft vygtvtfyddtvtv ygydjdh3s
8 0
2 years ago
A projectile is fired at 571 mi hr. How fast is that in meters per second to the nearest whole value? Use the conversion factor
ELEN [110]

Answer:

Consider this: factors that are the same that are in the numerator and denominator of a fraction cancel out.

e.g. 20/30 = [2(10)]/[3(10)] = 2/3      This is because the 10 present in the numerator exactly equals the 10 present in the denominator.

We can use the above principle for these types of problems!

If the projectile is fired at 422 mi/hr, and we want to convert this speed into m/s, we just need to go through the following process:

422 mi/hr * 1610m/1mi * 1hr/60min * 1min/60s = 189 m/s

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Cooper has 4 cookies and wants to split them among his six friends if each person should get the same amount what part of the co
pantera1 [17]

Answer:

1.5

Step-by-step explanation:

6 divided by 4

8 0
3 years ago
How to find the point slope form with the slope of 3 and the point of -2/6
Levart [38]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:y-6 = 3(x + 2)

____________________________________

\large \tt Solution  \: :

Equation of line in point - slope form :

\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)

  • \tt  \:m = slope=3

  • \tt y_1 = y \:  \: coordinate \:  \: of \:  \: point = 6

  • \tt  \:x_1 = x \:  \: coordinate \:  \: of \:  \: point =  - 2

Here :

\qquad \tt \rightarrow \:y - 6 = 3(x -  ( - 2))

\qquad \tt \rightarrow \:y - 6 = 3(x +  2)

5 0
1 year ago
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