Find the length of each line segment or object

Answer:

y7987

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:

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:

Step-by-step explanation:

2x + 1 = 9

2x = 8

x = 4

answer is A

Answer:  Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal

Answer:

2

Step-by-step explanation:

Use the property of equality :)

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

Answer:

80

Step-by-step explanation:

20 / 25 = 0.8 = 80%

Answer:

80%

Step-by-step explanation:

20/25 = 0.8 = 80%

Answer: x = 1 y = 6

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

Have a great day!

Answer:

The slope is zero (0)

Step-by-step explanation:

-4-(-4)/ 3-9

0/-6

0

Answer:

Step-by-step explanation:

21:00 i believe

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:

5 drops

Step-by-step explanation:

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:

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

Step-by-step explanation:

Answer:

I got this answer.

Is it correct

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 anwser is 6

Step-by-step explanation:

Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.

therefore, just plug them in.

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.

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:

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:

6.5

Step-by-step explanation:

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

Answer:

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

Answer:

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

Step-by-step explanation:

Your welcome!!

Answer:

184.3448276

Step-by-step explanation:

5346/29

184.3448276

Answer:

594

Step-by-step explanation:

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:

-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