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VikaD [51]
3 years ago
10

You are to choose between two different Aero-Rap charges a rate of $470 and then $1.25 per ticket to play for the evening. Mosai

c charges $350 plus $2.00 for each ticket sold. Write linear equation showing the cost for each band.
Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

y=1.25x+470

y=2.00x+350

Step-by-step explanation:

The linear equation form is y=mx+b so for m you but the amount that depends on x and b is the constant.

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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
What is 1.64 in simplest form
kondor19780726 [428]
1.64 as a fraction = 1 16/25
7 0
3 years ago
Solve for all values of x by factoring. x^2-5x=-2x
-Dominant- [34]

Answer:

x = 0

x = 3

Step-by-step explanation:

x^2 - 5x = -2x\\x^2 - 5x + 2x = 0\\x^2 - 3x = 0\\x(x - 3) = 0\\x=0 , x-3=0\\x=0, x=3

4 0
3 years ago
100pts Help rounding!
Semmy [17]

Answer:

5

Step-by-step explanation:

5 158/559

= 5 + 158/559

= 5 + 0.28264758

= 5.28264758

= 5 (rounded to nearest whole number)

4 0
2 years ago
Read 2 more answers
Aldo takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit
stealth61 [152]

Let Y = total cost of both schools.

The total cost would be ( number of credits at Westside x 98) + (number of credits at Pinewood x 115).

The total number of credits he is taking is 14.

If w is the number of credits at Westside, then for Westside you have 98w ( $98 times the number of credit hours)

The equation is now y = 98w +  (number of credits at Pinewood x 115).

The number of credit hours at Pinewood would be the total credit  hours 14 minus the credit hours at Westside w, so you have 14-w, which needs to be multiplied by the cost at Pinewood.

The equation is now y = 98w + 115(14-w)

This can be simplified using the distributive property to:

Y = 98w + 1610 - 115w

Y = -17w + 1610

6 0
3 years ago
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