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Vsevolod [243]
2 years ago
7

Find (-4) for f(x) = 9(3)^x A. -108 B. 1/3 C. -729 D. 1/9

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

D

Step-by-step explanation:

9(3)^-4

3^2 × (3^-4)

in algebraic expression a^n × a^m = a^n+m

3^2+(-4)

3^-2

but 3^-2 = 1/3²

1/3²= 1/9

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Answer:

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Step-by-step explanation:

6 0
2 years ago
4x + 5x + 12 = 6(x-2)<br> Math
Rashid [163]

Hi there! :)

\large\boxed{x = -8}

4x + 5x + 12 = 6(x - 2)

Combine like terms and distribute the coefficient outside of the parenthesis:

9x + 12 = 6(x) + 6(-2)

9x + 12 = 6x - 12

Subtract 6x from both sides:

9x - 6x + 12 = 6x - 6x - 12

3x + 12 = -12

Subtract 12 from both sides:

3x + 12 - 12 = -12 - 12

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4 0
3 years ago
NEED HELP WILL GIVE BRAINLEST
Elanso [62]

Answer:

The answer is 2

Step-by-step explanation:

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3 × 8 * 4 × 3 =

24/12 =

<u>24 ÷ 12</u>

12 ÷ 12 = 2

6 0
3 years ago
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
2 years ago
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A builder needs to tile a 7 foot by 8 foot room with one-foot square tiles. how many tiles will she need?
Diano4ka-milaya [45]
I believe that she will need 56 square tiles. You get this by doing 7 times 8 which is 56. Then, since each tile is a one-foot square tile, you would need 56 tiles to cover the whole floor. 
6 0
3 years ago
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