What is equal to 15.9 divided by 3

Answer:

They are inverses since both composition equal x.

Step-by-step explanation:

Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.

Let's look for the inverse of f(x).

Given f(x) = 3x+1

Let y = f(x) so that y = 3x+1

Replace y with x

x = 3y+1

Make y the subject of the formula of the resulting equation;

3y = x-1

y = (x-1)/3

The new function of x will be the inverse of f(x)

Hence f^-1(x) = (x-1)/3 = g(x)

Another way to check is to find their composition. Let's find f(g(x) and g(f(x)

F(g(x)) = f((x-1)/3)

Replace x with (x-1)/3 in f(x)

F(g(x)) = 3[(x-1)/3]+1

F(g(x)) = x-1+1

F(g(x)) = x

Similarly for g(f(x));

g(f(x)) = g(3x+1)

Replace x in g(x) with 3x+1

g(3x+1) = (3x+1-1)/3

g(3x+1) = 3x/3

g(3x+1) = x.

Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions

Answer:

24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24

Step-by-step explanation:

Answer:

The slope is zero (0)

Step-by-step explanation:

-4-(-4)/ 3-9

0/-6

0

Answer:

5 drops

Step-by-step explanation:

Answer:

c=d/4

Step-by-step explanation:

we have to get c by itself...first we have to add d t the other side of the equation so

4c=d now since 4 is being multiplied by c we have to divide it out.

c=d/4

Answer:

Step-by-step explanation:

4k^2 + 8k + 2 - 2k - 3

4k^2 + 6k - 1

answer is B

Answer:

[B] 4k²+ 6k - 1

Explanation:

(4k² + 8k + 2) - (2k + 3)

Remove Parenthesis

4k² + 8k + 2 - 2k + 3

-2k + 3: -2k - 3

= 4k² + 8k + 2 - 2k - 3

Simplify

4k² + 8k + 2 - 2k - 3: 4k²+ 6k - 1

= 4k²+ 6k - 1

- PNW

Answer:

6.5

Step-by-step explanation:

it will take Me. andrews 6.5 weeks to get to 228 pounds

Answer:

64

Step-by-step explanation:

64 is both a perfect square and a perfect cube.

8*8=64

4*4*4=64

Answer:

hello!

Step-by-step explanation:

lets solve this,

64.

8x8= 64.

4x4x4= 64.

Answer:

Width = 86 feet

Step-by-step explanation:

Create two equations with the info:

L = 27 + W

where L represents the length and W the width of the backyard.

The other one is about the area of the rectangular backyard:

Area = L x W

where you replace the area with 9718 and the length (L) with (27 + W):

[tex]Area= L\,*\,W\\9718=(W+27)\,W\\9718=W^2+27\,W\\W^2+27\,W-9718=0[/tex]

and solve for W using the quadratic equation:

[tex]W=\frac{-27+/-\sqrt{27^2-4(1)(-9718)} }{2\,(1)} \\W=\frac{-27+/-\sqrt{39601}}{2} \\W=\frac{-27+/- 199}{2}[/tex]

This gives us two solutions:

W = - 113

and W = 86

We use the positive solution since this is a distance.

Therefore the width is: 86 feet

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

Answer:

31/6

Step-by-step explanation:

Step 1:

13/24 × 3 5/9

Step 2:

13/24 × 32/9

Step 3:

62/12

Answer:

31/6

Hope This Helps :)

Answer:

Step-by-step explanation:

21:00 i believe

Answer:

3 * 4/4 = 12/4

12/4 + 1/4 = 13/4

One fraction:   13/4

Mixed number  [tex]3 \frac{1}{4}[/tex]

-31200

5000 + 500 = 5500

5500- 36700 = -31200

Answer: 31, 200

Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200

Answer:

184.3448276

Step-by-step explanation:

5346/29

184.3448276

Answer:

594

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

20 / 25 = 0.8 = 80%

Answer:

80%

Step-by-step explanation:

20/25 = 0.8 = 80%

Answer:

1.104798 miles

Step-by-step explanation:

Sam's cookies = $16 for 12

Charlie's cookies = $21 for 12

$5 more when buying Charlies other than Sam's

Answer:

It is 300000...........

Answer:

300,000+20,000+4,000+700+90+9

Step-by-step explanation:

Your welcome!!

Answer:

the answer is 6.2y-4.5

Step-by-step explanation:

Answer:

the answer is A. -6.2y - 4.5

Step-by-step explanation:

got it right on edge, i hope this helps.

Step-by-step explanation:

Answer:

Question What is 8,541 rounded to the nearest thousand? Answer D)9000

Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]

Answer: x = 1 y = 6

Step-by-step explanation: 25x1=25, -10x6= -60, 25-60=-35.

Have a great day!

Answer:

2

Step-by-step explanation:

Use the property of equality :)

Answer: 2(x+2i)(x-2i)(2x-3)

Step-by-step explanation:

Answer:

I got this answer.

Is it correct

Answer:

4

Step-by-step explanation:

[tex]g(x)=10+2x\\\\g(-3)=10+2(-3)\\\\g(-3)=10+-6\\\\g(-3)=10-6\\\\\boxed{g(-3)=4}[/tex]

Hope this helps.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Monthly fee = $17

Additional fee per unit of use = $0.05

Least amount she's been charged in a month = $83.90

Equation to represent the number of minutes 'M':

monthly fee + (additional fee per minute × M) = $83.90

Possible number of minutes :

83.90 ≤ $17 + 0.05M

$17 + $0.05 × M = $83.90

$0.05*M = $83.90 - $17

$0.05*M = $66.90

M = $66.90 / 0.05

M = 1,338 minutes