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telo118 [61]
3 years ago
11

If (x) = 5x, what is f-1(x)?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer: f⁻¹(x)=x/5

Step-by-step explanation:

To find the inverse function, you replace the y with x, and x with y.

x=5y

y=x/5

f⁻¹(x)=x/5

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Fill in the blanks below.
IceJOKER [234]

Answer:

1. infinity

2. infinity

4 0
3 years ago
Write the equation for the vertical line that contains point E(–7, 7). Choose one answer. a. Y = –7 b. Y = 7 c. X = 7 d. X = –7
svetlana [45]

The answer will be

(B)Y=7

6 0
3 years ago
The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
Question 3 (25 points) Shopping at Saver Mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She retur
cupoosta [38]

The system of equations that represent the cost of x shirts, and y pairs of pants are 4x + 3y = 85.50 and 3x + 5y = 115.00. Option (a) is correct.

A system of equations or an equation system is a collection of simultaneous equations.

Given that Shopping at Saver Mart, Lisa buys her children four shirts and three pairs of pants for $85.50 and She returns the next day and buys three shirts and five pairs of pants for $115.00

Now we have to find the system of equation

Lisa buys her children four shirts and three pairs of pants for $85.50 is given by

4x + 3y = 85.50

She buys three shirts and five pairs of pants for $115.00 is given by

3x + 5y = 115.00

Therefore the system of equations that represent the cost of x shirts, and y pairs of pants are

4x + 3y = 85.50 and 3x + 5y = 115.00

To learn more about system equations visit

brainly.com/question/21620502

#SPJ9

6 0
1 year ago
A 440.0-volt electric heater draws 10.0 amperes of current. according to Ohms law,what is the resistenace of the heater
Zanzabum

Answer:

The resistance of the heater is 44 ohms.

Step-by-step explanation:

Given that,

Voltage of electric heater, V = 440 volts

Current drawn by the heater, I = 10 A

We need to find the resistance of the heater. It is a case of Ohm's law. Its mathematical form is given by :

V=IR

R is resistance of the heater

R=\dfrac{V}{I}\\\\R=\dfrac{440\ V}{10\ A}\\\\R=44\ \Omega

So, the resistance of the heater is 44 ohms. Hence, this is the required solution.

4 0
3 years ago
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