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Zigmanuir [339]
3 years ago
6

During the summer, Vontavious makes $8.50 working for his

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

60 hours

Step-by-step explanation:

I multiplied 8.50 by 60 and got 510

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
Remy drinks 214 cups of water every 145 hours.
Tcecarenko [31]

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

Divide both sides by 125

214/145 = 145x/145

214/145 = x

145 goes into 215 1 time with 69 left over

1 69/145


4 0
3 years ago
Read 2 more answers
-3x-y=9
Lina20 [59]

Answer:

D: no solution

...because none of the answers work for both of the equations when you plug in the x and y values

4 0
3 years ago
Mica spends $5 for her lunch and $2 for breakfast each day Monday through Friday. Use Associative Property to find how much mone
Vaselesa [24]
1 week is (5+2)*5. this mean in one week she spend $35 35*4 is 140.
5 0
3 years ago
Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the n
kenny6666 [7]

Answer:

0 and 0

Step-by-step explanation:

The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D

4 0
3 years ago
Read 2 more answers
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