Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n.

thanks.

Answer:

Step-by-step explanation:

Given the formula to convert a temperature from degrees Fahrenheit (F˚) to degrees Celsius (C˚) as C˚=5/9F˚−1609.

To write the formula to convert °C to °F , we will make °F the subject of the formula

Add 1609 to both sides of the equation

C˚+1609=5/9F˚−1609.+1609

C+1609 = 5/9F

Cross multiply

9(C+1609) = 5F

Divide both sides by 5

9/5 (C+1609) = F

Hence the formula to convert from degrees Celsius to degrees Fahrenheit is 9/5 (C+1609) = F.

B) To check whether they are inverses we need to check if F(C) = C(F)

To get F(C) we will substitute F into C as shown;

F = 9/5 (C+1609)

C˚=5/9F˚−1609.

F(C) = 9/5 ((5/9F˚−1609.)+1609)

F(C) =  9/5 * 5F/9 -1609 + 1609

F(C)  = 9/5 * 5F/9

F(C) = 45F/45

F(C) = F

Similarly for C(F)

C(F) = (5/9(9/5 (C+1609))˚−1609.

C(F) = (C+1609) -  1609

C(F) = C

This shows that both equations are inverses of each other

Answer:

c P I'm just guessingggg

Answer:

24

Step-by-step explanation:

3x-2y

3(6)-2(-3)

18-(-6)

18+6

24

Answer:

The answer is 24.

Step-by-step explanation:

3x-2y if x =6 and y= -3

3 times 6 equals 18

2 times -3 equals -6

18-(-6)=24

Answer:

True True False True

Step-by-step explanation:

You would substitute the value for x and the value for y into both equations and see if the sign holds true.

So for number 1:

x=3, y=-2;

y ≤ x -3        

-2 ≤ x - 3

-2 ≤ -1

y ≥ -x - 2

-2 ≥ -3 - 2

-2 ≥ -5

Number 1 is true because the equations are true ^^

Do this for every problem so it would be:

1. True

2. True

3. False

4. True

Answer: it would be C, -5/3

since slope = rise/run, or y2-y1/x2-x1 (either way works)

Answer:

the answer is C

Step-by-step explanation:

slope = rise/run, or y2-y1/x2-x1

You rise 5 to get to the point thats on the Y axis and you run left 3 to hit the point on the Y axis, so since you had to run left, that means its going to be negative but if you run right, the answer will be positive. i hope that helped :)

Answer:

-3/2

Step-by-step explanation:

Just ask if you need  it explained

Answer: -3/2

Step-by-step explanation: that's it

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You have to add you exponents and the missing exponent which is 14 plus 2 equals 16

Answer:

the correct answer would be 10.8

Answer:

ok the correct answer are $4.32, 69.12, and 10.80

Step-by-step explanation:

Answer:

look

Step-by-step explanation:

180° is x+2x

so 180° is 3x

180°/3 is 60°

so x is 60° and 2x is 120°

Answer:

Sorry but you did not add the question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

THANK YOU FINALLY SOMEONE WHO UNDERSTANDS

Answer:

FINALLY SOMEONE WHO SPEAKS MY LANGUAGE

and also hi dante

Answer:

-3

Step-by-step explanation: Simplifying

2x + 6 = 0

Reorder the terms:

6 + 2x = 0

Solving

6 + 2x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 2x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 2x = 0 + -6

2x = 0 + -6

Combine like terms: 0 + -6 = -6

2x = -6

Divide each side by '2'.

x = -3

Simplifying

x = -3

Answer:

2x < 6

=> x < 6/2

=> x < 3

If my answer helped, kindly  mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step

Answer:

254.05 - 20.95 = 233.10 / .90 = 259

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

- Area of rectangle = length * width

[tex]11 = 3\frac{2}{3} *w\\\\- rearrange and divide\\ 11 \\ by \\\\ 3\frac{2}{3}\\\\ = 3[/tex]

The side length of the rectangle is given by the equation L = 3 m

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

A = 11 m²

Now , the width of the rectangle W = 3 2/3 m

Let the length of the rectangle be L

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

11 = L x ( 3 2/3 )

11 = L x ( 11/3 )

Divide by 11 on both sides of the equation , we get

L / 3 = 1

Multiply by 3 on both sides of the equation , we get

L = 3m

Therefore , the value of L is 3 m

Hence , the length of the rectangle is 3m

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ5

f(x) is concave down on an interval I if all of the tangents to the curve on I are above the graph of f(x)

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2[/tex]

solving the expression

[tex]2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2[/tex]

as

so the expression becomes

[tex]5P+8>2[/tex]

subtracting 8 from both sides

[tex]5P+8-8>2-8[/tex]

[tex]5P>-6[/tex]

Dividing both sides by 5

[tex]\frac{5P}{5}>\frac{-6}{5}[/tex]

[tex]P>-\frac{6}{5}[/tex]

Therefore,

[tex]2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}[/tex]

The graph is also attached below.

Answer:

Slope= -7/9

rise= 7

run=-9

Step-by-step explanation:

Answer

Slope= -7/9 rise= 7 run=-9

step explanation:

Answer:

20 milileters

Step-by-step explanation:

i dont really get on how to put it but if 5 for each 10 then it would be 20 sorry if this didnt  really help you i tried to word it to my best ability!

Answer:

1/-7x

Step-by-step explanation:

All you have to do is find the distance between both points.

Answer:

x=8

Step-by-step explanation:

first you need to find the unknown corner so you do 180-71= 109

then find the interior angle degree (n-2)*180 (n=number of sides) so (4-2)*180=2(180)=360

then set everything equal to 360:

10x+6+13x-2+8x-1+109=360

(combine like terms)

31x+112=360

(subtract 112 form both sides)

31x=248

(divide both sides by 31)

x=8

Answer:

.5 meters

Step-by-step explanation:

to find the circumference the equation is C = 2(pie)r so if you have known circumference you would go circumferece (3.14) divided by 3.14(pie) times 2  to find the radius which is .5

Answer:

r=0.5m

=is suppposed to be wavy

Step-by-step explanation:

Answer:

Tens place

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

m is the slope = rise/run

take any 2 easi points on the line, for example (0,0) and (1,2)

to get from (0,0) to  (1,2) you had to rise 2 and go run 1 so the slope is

m=2/1=2

Answer:1.041 × 25 = 26.025 which rounds to $26.03 Hope this helped!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. ... If the statement is true, the number is a solution to the equation or inequality.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3^5=243

3^3=927

243/9=9

Answer:

pretty sure either b or d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since 50% of the people chose A with the first group of surveyed people, 100 more will choose that because 125 is half of 250