What is equivalent to 3^-3

Nitella [24]

Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.

Step-by-step explanation:

8 0

2 years ago

Consider the function.

worty [1.4K]

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24 Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0

2 years ago

What is the equation of log x 729=3?

pishuonlain [190]

Answer:

Step-by-step explanation:

Move 729 to the left side of the equation by subtracting it from both sides. x 3 − 729 = 0 Factor the left side of the equation. Rewrite 729 as 9

3

. x

3

−

9

3

=

0

. Since both terms are perfect cubes, factor using the difference of cubes formula, a

3

−

b

3

=

(

a

−

b

)

(

a

2+ab+b2). Where a

=x and b=9. (x−9)(x2+x⋅9+92)=0

. Simplify. Move 9 to the left of x

. (x−9)(x2+9x+92)=0. Raise 9 to the power of 2

. (x

−9

)(

x

2

+

9

x

+81

)=0

. Set x

−9 equal to 0 and solve for x. Set the factor equal to 0. x−

9=

0. Add 9 to both sides of the equation. x=9

. Set x2+

9

x

+

81 equal to 0 and solve for x

. Set the factor equal to 0

. x2+9x+81=0. Use the quadratic formula to find the solutions. −b±√b2−4(ac) 2a. Substitute the values a=1, b=9, and c=81 into the quadratic formula and solve for x. −9±√92−4⋅ (1⋅81

) 2⋅

1 Simplify. Simplify the numerator. Raise 9 to the power of 2. x=−9±√81−4⋅(1⋅81) 2⋅1. Multiply

81

by

1

.

x

=

−

9

±

√

81

−

4

⋅

81

2

⋅

1

Multiply

−

4

by

81

.

x

=

−

9

±

√

81

−

324

2

⋅

1

Subtract

324

from

81

.

x

=

−

9

±

√

−

243

2

⋅

1

Rewrite

−

243

as

−

1

(

243

)

.

x

=

−

9

±

√

−

1

⋅

243

2

⋅

1

Rewrite

√

−

1

(

243

)

as

√

−

1

⋅

√

243

.

x

=

−

9

±

√

−

1

⋅

√

243

2

⋅

1

Rewrite

√

−

1

as

i

.

x

=

−

9

±

i

⋅

√

243

2

⋅

1

Rewrite

243

as

9

2

⋅

3

.

Tap for fewer steps...

Factor

81

out of

243

.

x

=

−

9

±

i

⋅

√

81

(

3

)

2

⋅

1

Rewrite

81

as

9

2

.

x

=

−

9

±

i

⋅

√

9

2

⋅

3

2

⋅

1

Pull terms out from under the radical.

x

=

−

9

±

i

⋅

(

9

√

3

)

2

⋅

1

Move

9

to the left of

i

.

x

=

−

9

±

9

i

√

3

2

⋅

1

Multiply

2

by

1

.

x

=

−

9

±

9

i

√

3

2

Factor

−

1

out of

−

9

±

9

i

√

3

.

x

=

−

1

9

±

9

i

√

3

2

Multiply

−

1

by

−

1

.

x

=

1

−

9

±

9

i

√

3

2

Multiply

−

9

±

9

i

√

3

by

1

.

x

=

−

9

±

9

i

√

3

2

The final answer is the combination of both solutions.

x

=

−

9

−

9

i

√

3

2

,

−

9

+

9

i

√

3

2

The solution is the result of

x

−

9

=

0

and

x

2

+

9

x

+

81

=

0

.

x

=

9

,

−

9

−

9

i

√

3

2

,

−

9

+

i

√

3

2

7 0

4 years ago

Will give brainliest if correct Pls help thanks :)

lidiya [134]

Domain:
{-1, 3, 6}

Range:
{4, 5, 6}

6 0

3 years ago

A(-2,3)

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-2,3),B(3,0)$

substitute in the formula

$d=\sqrt{(0-3)^{2}+(3+2)^{2}}$

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}$

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

4 0

3 years ago