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bixtya [17]
3 years ago
15

How much ounces are in a pound

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Please look at the image attached.

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1. (5,8) m= 3<br> It wants me to write this in slope intercept form
ikadub [295]

Answer:

The answer is: y = 3x - 7

Step-by-step explanation:

Given point: (5, 8).

Slope m = 3

Use the point slope form and solve for y:

y - y1 = m(x - x1)

y - 8 = 3(x - 5)

y - 8 = 3x - 15

y = 3x - 15 + 8

y = 3x - 7

Proof:

f(x) = 3x - 7

f(5) = 3(5) - 7

= 15 - 7 = 8, giving (5, 8)

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2 years ago
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mestny [16]

collect the like terms

Answer is C

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2 years ago
I GIVEEEEE BRAINLILST
Pavel [41]

Answer:

73.5

Step-by-step explanation:

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What is the ratio 28 : 4 in it's simplest form?
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7:1

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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
2 years ago
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