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Vsevolod [243]
3 years ago
12

Simplify the expression: 5-−3ℎ −(6-+7ℎ) a) 11-−4ℎ b) 11-−10ℎ c) −-−4ℎ d) −-−10ℎ

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
Graph x &gt; -3x&gt;−3x, is greater than, minus, 3.
antiseptic1488 [7]
It just is :). Ok ok
4 0
3 years ago
melanie made a circular necklace she puts beads evenly spaced around the necklace if the 4th bead is directly across from the 11
dangina [55]

Answer:

Step-by-step explanation:

If the 4th lies opposite the 11th, then you know the 3rd lies opposite the 10th, the 2nd opposite the 9th, and the 1st opposite the 8th; meanwhile, in the reverse direction you'd find that the 5th lies opposite the 12th, the 6th opposite the 13th, and the 7th opposite the 14th. Move up one more bead and you're back at the 1st, which you already know lies opposite the 8th. Therefore there are 14 total bead

4 0
3 years ago
PLS HELP ME ASAP FOR ALL 6!! (SHOW WORK!!) + LOTS AND LOTS OF POINTS!!! *GIVING THANKS!!*
aleksandr82 [10.1K]
This is the answer for #1

4 0
3 years ago
How many meters is one centimeter cubed? Also, how many meters cubed are in one liter?
enot [183]
1 m = 100 cm
1 m^3 = 1^6 cm^3


so 1 cm^3 = 10^-6 m^3

and 1 L = 1000 cm^3 = 10^-3 m^3
7 0
3 years ago
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