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3 years ago

Can someone please help me with question 3 and 4

Mathematics

1 answer:

storchak [24]3 years ago

7 0

3. it would be 15 because it is multiplying by 3

4. it would be 11 because it's subtracting 2

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Math Write the number 63 in four different ways.

Rina8888 [55]

63 = 0.63×10² = 126/2 = 3×21 = √3969 = 77₈

The last is as a base-8 number.

5 0

4 years ago

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Solve for x: <img src="https://tex.z-dn.net/?f=%202x%5E%7B2%2F3%7D%20%20%2B%203x%5E%7B1%2F3%7D%20-%202%20%3D%200%20" id="Tex

Margaret [11]

$2x^{2/3}+3x^{1/3}-2=(2x^{1/3}-1)(x^{1/3}+2)=0$

Then

$2x^{1/3}-1=0\implies2x^{1/3}=1\implies x^{1/3}=\dfrac12\implies x=\dfrac18$

$x^{1/3}+2=0\implies x^{1/3}=-2\implies x=-8$

(assuming you are solving over the real numbers)

4 0

3 years ago

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A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati

lilavasa [31]

Answer:

The minimum average cost is $2.80 when 163 players are built

Step-by-step explanation:

Average Cost Function

We'll assume the given function as the total cost to produce x players, and NOT the average cost since that is a different definition, as shown below.

The cost C to produce x DVD/Blu- ray players is given by the equation

$C=0.03x^2-7x+800$

The Average Cost function is defined as

$\displaystyle\bar C=\frac{C}{x}$

$\displaystyle\bar C=\frac{0.03x^2-7x+800}{x}$

$\displaystyle\bar C=0.03x-7+\frac{800}{x}$

To find the extreme value of the average cost, we must take the first derivative of the function

$\displaystyle\bar C'=0.03-\frac{800}{x^2}$

Equating to 0

$\displaystyle 0.03-\frac{800}{x^2}=0$

Solving for x

$\displaystyle x=\sqrt{\frac{800}{0.03}}$

$x=163$

The second derivative is

$\displaystyle\bar C''=\frac{1600}{x^3}$

For x=163 the second derivative is positive, thus x=163 is a minimum value. Let's compute the minimum average cost

$\displaystyle\bar C(163)=0.03\cdot 163-7+\frac{800}{163}$

$\displaystyle\bar C(163)=2.80$

The minimum average cost is $2.80

5 0

3 years ago

Which do you think is the better estimate ?explain

ipn [44]

A better estimate would be something that is closer to one you had before...

7 0

3 years ago

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation 2(x +20) = 9

KonstantinChe [14]

Answer:

(x+20) explains the elena walked 20 minutes more than Lin

Step-by-step explanation:

(x+20) explains the elena walked 20 minutes more than Lin

As given in the question that elena walked 20minutes more than lin means if elena walked x then lin walked (x+20) and also jada walked twice as long as elena means 2(x+20) and according to question jada walked 90 minutes means 2(x +20) = 90

7 0

3 years ago

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