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3 years ago

What is the inverse of 4/(x+7)

1 answer:

4 0

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".

$\bf y = \cfrac{4}{x+7}\implies \stackrel{switcheroo}{\underline{x} = \cfrac{4}{\underline{y}+7}}\implies y+7=\cfrac{4}{x}\implies\qquad \stackrel{f^{-1}(x)}{y}=\cfrac{4}{x}-7$

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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters

Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, $z \propto x$ , $z \propto \frac{1}{y}$

then the equation is in the form: $z = k\frac{x}{y}$ where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

5 0

3 years ago

What is the solution for 2x -4= -8

scoray [572]

Answer:

x = 48

Step-by-step explanation:

3x + 9 = 153

subtract 9 from both sides -9 -9

3x = 144

divide both sides by 3 3x/3 = 144/3

2x + (x + 9) = 153

2(48) + (48 + 9) = 153

96 + 57 = 153

153 = 153

8 0

3 years ago

Read 2 more answers

What is the degree of the monomial 9xy³z⁷

xxMikexx [17]

Answer:

the degree of the monomial is 11

Step-by-step explanation:

x = 1

y^3 = 3

z^7 = 7

add the exponents 1+3+7 = 11

5 0

4 years ago

Write y-3- (-x-2) in standard form.

Darya [45]

X+Y-1, hope that helps

8 0

3 years ago

Distance between (2,0) (8,6)

AlladinOne [14]

Answer:

Exact Form:

6/2

Decimal Form:

8.48528137

3 0

3 years ago