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3 years ago

Assume that the function f is a one-to-one function, (a) f(8) = 9, find f ^ -1 (9)

Mathematics

1 answer:

Annette [7]3 years ago

8 0

(a) since we are given that f(8) = 9, the inverse of 9 is simply 8. Therefore, f^-1(9) = 8.

(b) Again, f is the inverse of f^-1, therefore, you simply switch numbers, and you get that f(-3) = -7.

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How do exponents fit into the order of operations

STatiana [176]

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

6 0

2 years ago

Write the computer program for;urgent

AlladinOne [14]

ANSWER:

#include <stdio.h>

#define PAYRATE 10 //basic pay rate per hour

#define OVERTIME 15 //in excess of 40 hours a week

int NetPay(int hours);

int main()

{

int userWeeklyHours;

printf("Please enter your total weekly working hours: \n");

scanf("%d", &userWeeklyHours);// get the user weekly hours

NetPay(userWeeklyHours);

return 0;

}

int NetPay(int hours)// implementing the function to calculate total pay, total taxes, and net pay

{

int firstRate, secondRate, restOfRate, secondAmount, rest, payAfterTax, payedBeforeTax, overHours;

if (hours > 40)

{

overHours = hours - 40;

payedBeforeTax = (40 * PAYRATE) + (overHours * OVERTIME);

}

else

payedBeforeTax = hours * PAYRATE;//defining the user first paycheck before taxes

if (payedBeforeTax <= 300)//paying only first rate case

{

firstRate = payedBeforeTax*0.15;

payAfterTax =payedBeforeTax - firstRate;

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate, payAfterTax);

}

else if (payedBeforeTax > 300 && payedBeforeTax <= 450)//paying first and second rate

{

secondAmount = payedBeforeTax - 300;

firstRate = (payedBeforeTax - secondAmount) * 0.15;

secondRate = secondAmount * 0.20;

payAfterTax = payedBeforeTax - (firstRate + secondRate);

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate + secondRate, payAfterTax);

}

else if (payedBeforeTax > 450)// paying all rates

{

rest = payedBeforeTax - 450;

secondAmount = (payedBeforeTax - 300) - rest;

firstRate = (payedBeforeTax - (rest + secondAmount)) * 0.15;

secondRate = secondAmount * 0.20;

restOfRate = rest * 0.25;

payAfterTax = payedBeforeTax - (firstRate + secondRate + restOfRate);

printf("your total gross is %d, your taxes to pay are %d, your net pay is %d", payedBeforeTax, firstRate + secondRate + restOfRate, payAfterTax);

}

return payAfterTax;

}

8 0

3 years ago

Select all the pairs that could be reasonable approximations for the diameter and circumference of a cirlce 5 meters and 22 mete

bazaltina [42]

Answer:

Option a) circle 5 meters and 22 meters

Step-by-step explanation:

We are given the following information in the question:

A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.

a) circle 5 meters and 22 meters

$\text{Diameter} = 5\text{ meters}\\\text{Circumference} = \pi d = 3.14\times 5 = 15.7\text{ meters}$

b) 19 inches and 50 inches

$\text{Diameter} = 19\text{ inches}\\\text{Circumference} = \pi d = 3.14\times 19 = 59.66\text{ inches}$

c) 33 centimeters and 80 centimeters

$\text{Diameter} = 33\text{ centimeters}\\\text{Circumference} = \pi d = 3.14\times 33 =103.62\text{ centimeters}$

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.

6 0

3 years ago

PLS HELP ME ASAP FOR 20!! (MUST SHOW WORK!!) + LOTS OF POINTS *maybe SHOW a pic*

almond37 [142]

1/2 because when you divide by 1/2 you get 1/6 , if you do the problem backwards you get 1/6

6 0

3 years ago

Read 2 more answers

Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.

Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

$y = 5x + 12$

See attachment for table and options

First, we calculate the slope of the table

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,29)$

$(x_1,y_1) = (4,53)\\$

So, we have:

$m = \frac{53- 29}{4 - 2}$

$m = \frac{24}{2}$

$m = 12$

The equation is then calculated using:

$y = m(x -x_1) + y_1$

This gives:

$y = 12*(x -2) + 29$

$y = 12x -24 + 29$

$y = 12x+5$

So, we have:

$y = 5x + 12$ --- The given equation

and

$y = 12x+5$ --- The equation of the table

An equation is represented as:

$y = mx + b$

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: $y = 5x + 12$

Rate of change = 5

y intercept = 12

For the table: $y = 12x+5$

Rate of change = 12

y intercept = 5

In conclusion:

(a) $y = 12x+5$ has the greater rate of change:

and

(f) $y = 5x + 12$ has the greater y intercept

8 0

3 years ago