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2 years ago

Given f(x) = 7xº, find f^-1 (x). Then state whether f^-1(x) is a function.

Mathematics

1 answer:

Slav-nsk [51]2 years ago

6 0

Answer:

a) (x/7)^1/9=y

Step-by-step explanation:

f(x) = 7x^9

x/7= 7y^9/7

(x/7)^1/9=(y^9)^1/9

(x/7)^1/9=y

f^-1(x) is a fuction because it passes the vl test

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Which inequality is true if p = 3.4 ?

Anastaziya [24]

Answer:

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Step-by-step explanation:

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3 years ago

Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?

Arlecino [84]

Answer:

7 1/5

Step-by-step explanation:

You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.

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3 years ago

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2 years ago

Read 2 more answers

Evaluate 4c - 5 for c = -3

Crazy boy [7]

Answer:

-17

Step-by-step explanation:

Substituting c=-3

4*-3-5

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5 0

3 years ago

Read 2 more answers

ank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains30 gallons of water in which 5

adell [148]

Answer:

$\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}$

$\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}$

x(0)=20,y(0)=5

Step-by-step explanation:

We are given that

Tank A contains water=80 gallons

x(0)=20,y(0)=5

Tank B contains water=30 gallons

Rate=4 gallon/min

Concentration of salt is pumped into tank=0.5 pound /gallon of water

Solution pumped from tank A to tank B at the rate=6 gallons/min

Solution pumped from tank B to tank A at the rate=2gallon/min

Solution from tank B is pumped out of the system at the rate=4 gallon/min

We have to find the DE at time t

For x

Rate in= $0.5\times 4+y(t)/30\times 2$

Rate in= $2+y/15$

Rate out= $x/80\times 6$

Rate out=3x/40[/tex]

$\frac{dx}{dt}=$ Rate in-Rate out

$\frac{dx}{dt}=2+y/15-3x/40$

$\frac{dx}{dt}=2-\frac{3}{40}x+\frac{y}{15}$

For y

Rate in= $x/80\times 6$

Rate in=3/40x

Rate out= $y/30\times (4+2)$

Rate out=y/5

$\frac{dy}{dt}=$ Rate in-Rate out

$\frac{dy}{dt}=\frac{3}{40}x-\frac{y}{5}$

8 0

2 years ago