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Sedbober [7]
3 years ago
12

What are the solutions to the quadratic equation below?

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
5 0
C is the right answer. Great job!
Alborosie3 years ago
4 0
I am pretty sure the answer is C.
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Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
Novay_Z [31]
a. Is the answer hope you passed!!!
8 0
3 years ago
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aniked [119]
If the volume is 108, and the height is 3 meters, you would divide 108 by 3 , which is 36.
8 0
3 years ago
Ming says that 0.24 > 14 because 0.24 = 24. Which best explains Ming's error?
masya89 [10]

Answer:

0.24 = 24 hundredths, not 24

Step-by-step explanation:

8 0
2 years ago
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What is meant by the term observed frequencies (O)?
cestrela7 [59]

Answer:

  • The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

Step-by-step explanation:

Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.

Therefore, we conclude that

  • The term observed frequencies are found in the sample.

Hence, option 'd' is correct.

4 0
3 years ago
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