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skad [1K]
2 years ago
5

Suppose a plane flies 48 miles in 12 minutes. The relationship between miles flown, x, and minutes flown, y, by the plane can re

presented by the equation y =
1
4
x.

How far will the plane fly in 28 minutes?
Mathematics
1 answer:
Molodets [167]2 years ago
5 0

Answer:

112.

Step-by-step explanation:

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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.<br> A.68<br> B.16<br> C.23<br> D.18
borishaifa [10]

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

7 0
3 years ago
If julie needs 3 14_ cups of oatmeal, how many 1_ 4 cups of oatmeal will she use?
nydimaria [60]
She will use 13  there are four 1/4 per cup 4 times 3 plus 1 =13
3 0
3 years ago
1: Which of the following equations could you solve by first adding six and then dividing by negative three?
balu736 [363]
1. C - You could add 6 and divide by negative three with this one

2. B - By plugging in five, you would get 9-10. and that would give you -1

3. B - You would add 18 to 12 to get 30
4 0
3 years ago
Whats 2 Divided by 2? Need answers immediatly. 100 points and branliest
klemol [59]

Answer:

1

Step-by-step explanation:

:)

6 0
3 years ago
Read 2 more answers
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