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3 years ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

Mathematics

1 answer:

mote1985 [20]3 years ago

5 0

let g(x) = x^2+2 let f(x) = 9/x f(g(x)) is therefore equal to f(x^2 + 2) which is equal to 9/(x^2+2).

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A 1.50 liter sample of dry air in a cylinder exerts a pressure of 3.00 atmospheres at a temperature of 25oC. Without change in t

cricket20 [7]

The answer is 4.5 l

To calculate this, we will use the Boyle's law using constant k, pressure P, and volume V:

PV = k

We can forget temperature since it is constant.

We have:

P1V1 = k

P2V2 = k

So, P1V1 = P2V2

P1 = 3 atm

V1 = 1.5 l

P2 = 1 atm

V2 = ?

_____

P1V1 = P2V2

3 atm * 1.5 l = 1 atm * V2

4.5 atm/l = 1 atm * V2

V2 = 4.5 atm l / 1 atm

V2 = 4.5 l

5 0

3 years ago

Read 2 more answers

Evaluate the following expression. -8 - (-10)^2. please please help I will give brainlist 1st who ansers

Alekssandra [29.7K]

Answer:

-108

Step-by-step explanation:

-8 - ( -10 )²

= -8 - 100

= -108

5 0

3 years ago

As shown in the graph, ΔGHI ≅ ΔG'H'I', since this is a vertical shift, and ΔG'H'I' ≅ ΔG''H''I'', since this is a horizontal shif

77julia77 [94]

D) (X,Y) <span> → (x + 4, y - 5).
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4 0

3 years ago

Please help, I rally need ir

Mnenie [13.5K]

Answer:

The one on the top at you’re right

3 0

3 years ago

The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)

Ulleksa [173]

Answer:

$C=18w+30$

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, $(x_1,y_1)=(100,1830)$

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, $(x_2,y_2)=(135,2460)$

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute the values

$y-1830=\frac{2460-1830}{135-100}(x-100)$

$y-1830=18(x-100)$

$y-1830=18x-1800$

$y=18x-1800+1830$

$y=18x+30$

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

$C=18w+30$

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is $C=18w+30$

7 0

3 years ago