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3 years ago

Consider function f. f(x) = sqrt 7x- 21

Mathematics

2 answers:

Arada [10]3 years ago

6 0

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

kipiarov [429]3 years ago

4 0

Answer:look at explanation

Step-by-step explanation:

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For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny

SVETLANKA909090 [29]

Answer:

a.) April has 30 days

If you for option No.2, you would have:

[day, amount($)]

1, 0.01

2, 0.02

3, 0.04

4, 0.08

5, 0.16

6, 0.32

7, 0.64

8, 1.28

9, 2.56

10, 5.12

11, 10.24

12, 20.48

13, 40.96

14, 81.82

15. 163.48

16, 327.68

17, 655.36

18, 1310.72

19, 2621.44

20, 5242.88

21, 10,485.76

22, 20,971.52

23, 41,943.04

24, 83,886.08

25, 167,772.16

26, 335,544.32

27, 671,088.64

28, 1,342,177.28

29, 2,684,354.56

30, 5,368,709.12

Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.

b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth

#coronatime

The most elegant form to describe the given numbers would simply be

$=1*2^x

You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2

c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1

Have a nice day

Brainliest would be appreciated

If there are questions left, feel free to ask them

4 0

3 years ago

The following table shows the number of hours some students in two universities spend reading each week: School A 7 2 3 10 17 14

pychu [463]

The value of $Q_{1}$ , $Q_{2}$ , and $Q_{3}$ for each schools is given in the first picture below.

$Q_{1}$ is the lower quartile
$Q_{2}$ is the median
$Q_{3}$ is the upper quartile

School A:
Minimum value is 2
Maximum value is 22
The lower quartile is 2.5
The median is 10
The upper quartile is 15.5

School B:
Minimum value is 9
Maximum value is 20
The lower quartile is 12
The median is 16
The upper quartile is 18

The box plot for each school is shown in the second picture

Box plot for school A isn't symmetrical. The data tails on the right
Box plot for school B isn't symmetrical. The data tails on the left

8 0

3 years ago

Evaluate (-27)^-4/3 ((-27 to the power of -4/3))

masha68 [24]

Answer:

-1/81

Step-by-step explanation:

-27^-4/3

cbrt(-27^-4)

cbrt(-1/531441)

-1/81

5 0

3 years ago

Read 2 more answers

A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt

lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22 ---- OK

4 0

3 years ago

a study indicated that the citizens of Morristown waste and 5840 gallons of water last year this year they wasted 15% more than

joja [24]

Answer-

The total amount of water wasted this year is 6716 gallons.

Solution-

A study indicated that the citizens of Morris-town wasted 5840 gallons of water last year.

This year they wasted 15% more than that amount they wasted previous year.

15% of 5840 is,

$5840\times \frac{15}{100}=876$

The total amount of water wasted this year =

The amount of water wasted previous year + 15% more of the amount of that

= 5840 + 876

= 6716 gallons

Therefore, the total amount of water wasted this year is 6716 gallons

8 0

3 years ago

Read 2 more answers