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3 years ago

Which property would you use to simplify the following expression 3×(y+5)

Mathematics

2 answers:

klio [65]3 years ago

8 0

You would use multiplication

guajiro [1.7K]3 years ago

6 0

Answer:

Distributive property.

Step-by-step explanation:

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3 years ago

Which expression is equivalent to (5x^3)(2x)^3

Taya2010 [7]

Hello:
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3 years ago

Read 2 more answers

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

At x = 50 units,

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

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

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,

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

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3 years ago

Find the non-permissible replacement for: 4/5x

Alik [6]

Hello :
answer <span>B) 0
because : 4/(5×0) no exist</span>

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2 years ago

Graph: y - 3 = 1/2 (x + 2)

11Alexandr11 [23.1K]

Answer:

Slope: $\frac{1}{2}$

Y-intercept: (0,4)

Step-by-step explanation:

Put the equation into y = mx + b form, which is y = $\frac{1}{2}$ +4. Then create a table.

X: -2, -1, 0, 1, 2

Y: 3, $\frac{7}{2}$ , 4, $\frac{9}{2}$ , 5

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3 years ago

Which property would you use to simplify the following expression 3×(y+5)​

Which property would you use to simplify the following expression 3×(y+5)