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2 years ago

What is the inverse of the function f(x) = 6x-5/x+9

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

7 0

Answer:

−

(

)

−

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x+56−x f - 1 ( x ) = 9 x + 5 6 - x is the inverse of f(x)=6x−5x+9 f ( x ) = 6 x - 5 x + 9 .

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Can I please have help me with this problem

guajiro [1.7K]

9514 1404 393

Answer:

B, C

Step-by-step explanation:

Shelby's total earnings will be the sum of the amount she has earned and the amount she can earn working h hours. That latter amount is 25h, since she makes $25 per hour. She wants that total to be at least $2000.

75 + 25h ≥ 2000

Dividing by 25 gives ...

3 +h ≥ 80

subtracting 3, we have ...

h ≥ 77

These match options B and C of your list.

8 0

2 years ago

Use the formula for the area of a rectangle, A = lw, where A represents the area, l represents the length, and w represents the

IgorLugansk [536]

Answer:

Area = length × breadths

5 0

3 years ago

Does anyone know the answer?

Serhud [2]

Answer:

$6a {}^{2} - 2c + 2a {}^{2} - 2c {}^{2} \\ 8a {}^{2} - 2c {}^{2} - 2c$

Good luck!

Intelligent Muslim,

From Uzbekistan.

8 0

2 years ago

3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution

tamaranim1 [39]

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) : left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )

5 0

2 years ago

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago