A rectangle has perimeter 26 cm, and the length and width are both whole numbers. What is the greatest possible area this rectangle may have in square cm?

Given:

The function is

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

To find:

The inverse function [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 1: Putting f(x)=y, we get

[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]

Step 3: Isolate variable y.

[tex]9x=8\sqrt[3]{y}-8[/tex]

[tex]9x+8=8\sqrt[3]{y}[/tex]

[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]

Taking cube on both sides, we get

[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]

[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

Point of intersections of the graph with x-axis are not clear.

Let these points are x = -a, -b and c

Therefore, function representing the graph will be,

f(x) = p(x + a)(x + b)(x - c)

Since, this graph crosses y-axis at (0, -6),

f(0) = p(0 + a)(0 + b)(0 - c) = -6

-pabc = -6

p = [tex]\frac{6}{abc}[/tex]

Therefore, equation of the given function will be,

f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

Answer:

3x +7x +11=10x+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

=3x+7x+11

Add similar elements: 3x+7x=10x

=10x+11

Answer:

top=3, middle=2, bottom= 1

Step-by-step explanation:

Answer:

0.09(x)=70

Step-by-step explanation:

Answer:

The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6

Step-by-step explanation:

Answer:

35000×10.2%=3570 Interest will be paid

35000+3570=38570 full amount will be paid in the bank

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

Answer:

9 - 15/2

10 - 9

11 - 16/3

12 - 5/6

Step-by-step explanation:

Answer:

90 miles

Step-by-step explanation:

The person who answered first explained it well, so I dont have to.

have a nice day :)

Answer:

Step-by-step explanation:

Standard cube rolling a 6 has a 1/6 probability   or  0.1667

if a cube was designed (ie weighted) to come up more often the probability of rolling a 6 would be HIGHER than the standard cube

Which of the four given answers has a HIGHER probaility value?

1/4      0.25  >  0.1667

1/8     0.125  < 0.1667

1/12    0.0833 < 0.1667

1/6     0.1667  = 0.1667

Which answer is greater than 0.01667?

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

The answer is 35.1 cm².

Hope this helps; have a great day!

Answer:

wheres the graph

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

2(_9)^2=162

3(-9)=-27

2(-9)^2 +3(-9)-2= 162-27-2=133

Answer: Adrian will need to fix 25 bikes to reach a break even point.

The number of bicycles does have to sell to reach the "break-even" point'' will be 24.

In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." No net gain or loss has occurred, and one has "broken even,".

Given that Aidan buys used bicycles, fixes them up, and sells them. His average cost to buy and fix each bicycle is $27. He also incurred a one-time cost of $960 to purchase tools and a small shed to use as his workshop. He sells bikes for $67 each.

The number of bicycles will be calculated as:-

27 = ( 67n - 960 ) / n

27n = 67n - 960

40n = 960

n = 960 / 40

n = 24

Therefore, the number of bicycles does have to sell to reach the "break-even" point'' will be 24.

To know more about the break-even point follow

https://brainly.com/question/24233845

#SPJ5

Answer:

slope=-3

y-intercept=(0, 3)

Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

Answer:

The answer is -2

Step-by-step explanation:

First we divide 12 by 6.

12/6 = 2

Next we subtract 3 by 4.

3 - 4 = -1

Now we solve.

-1 * 2 = -2

So, the answer is -2.

Hope this helps! :)

Answer:

3

Step-by-step explanation:

Do 12/6 first and you get 2 and then you do 3-4 and you get 1

Answer:

X=-2

Step-by-step explanation:

Beacuse I got it right

Answer:

10qt

Step-by-step explanation:

We are to convert gallon to quartz

Using the conversion rate

1gallon = 4qt

2 1/2 gallons = x

Divide both expressions

1/(5/2) = 4/x

2/5 = 4/x

Cross multiply

2x = 5×4

2x = 20

x =20/2

x = 10qt

Hence 2 1/2 gallon is 10qt

Answer:

N o

Step-by-step explanation:

Answer:

1. 1187 square inches

Step-by-step explanation:

Good Job!

Answer: .075 7.5% Zero point zero Seven five

Step-by-step explanation:

Answer :

0.075 = Decimal

7.5% = Percentage

Step-by-step explanation:

Percentage = 3/40 = [tex]\sqrt[3]{40} }[/tex] = 0.075 × 100 =7.5%

Decimal = 3/40 = [tex]\sqrt[3]{40}[/tex] = 0.075

Word form = 0.075 =3/40

                     7.5 = 3/4 So the word form would be three fourths I think?

Answer:

377 parents

Step-by-step explanation:

We start by writing an exponential equation

FV = PV(1 - r)^t

FV is future value = ?

PV is present value = 440

r is rate = 5/100 = 0.05

t = 3

Substituting these values

FV = 440(1 - 0.05)^3

FV = 377.245

This is approximately 377

Answer:

Total surface of CYLINDER=2 pierh

=2*22\7**7*7*12=528cm2

volume of CYLINDER=pier2h

= 22\7*7*7*12=1848cm3

#keepstudying

#Brenier

Answer:

the answer is 112 mate hope u got ur answer

Answer:

[tex]x = -1\frac{1}{2}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The x coordinate of P

When point P is traced to the x axis, it lands on -1.5

So:

[tex]x = -1.5[/tex]

Express as fraction

[tex]x = -\frac{3}{2}[/tex]

[tex]x = -1\frac{1}{2}[/tex]

Answer:

it must be 5.6 cm big

Step-by-step explanation:

Answer:

36.3 m

Step-by-step explanation:

because a decagon has 10 sides so 363 divided by 10=36.3