All categories

3 years ago

Solve the equation 7+4y=39

Mathematics

2 answers:

Rashid [163]3 years ago

7 0

Answer:

Step-by-step explanation:

$7+4y=39\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\7+4y-7=39-7\\\\\mathrm{Simplify}\\4y=32\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4y}{4}=\frac{32}{4}\\\\Simplify\\y =8$

Marizza181 [45]3 years ago

4 0

Answer:

<em />

Step-by-step explanation:

7 + 4y = 39

Rearrange:

4y + 7 = 39

Subtract 7 from both sides:

4y + 7 = 39

- 7 -7

4y = 32

Divide both sides by 4:

4/4 = y

32/4 = 8

You might be interested in

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,

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