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Rudik [331]
3 years ago
8

Does the equation -2x+y=0 a direct variation? If so, identify the constant of variation.

Mathematics
1 answer:
blondinia [14]3 years ago
6 0
The answer to the question is a direct variation. k=2
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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
How many 2/3 cup servings of soup are in 4 cups of soup?
klasskru [66]

Answer:

almost 6 servings

Step-by-step explanation:

2/3=.667

4/.667=5.99

7 0
2 years ago
Read 2 more answers
9y^-5/3y^2r^-3 what is the answer in a fraction​
allsm [11]

Answer:

3r^3/y^7.

Step-by-step explanation:

9y^-5 / 3y^2r^-3

9 / 3 = 3

y ^-5 / y^2 = y^-7 = 1 / 7y

1 / r^-3 = r^3

So the answer is 3r^3/y^7.

8 0
3 years ago
There are five times as many cars as trucks on the road. Which fraction represents the number of vehicles that are trucks?
jonny [76]
Well, the ratio of cars to trucks is 5:1, so for every 1 truck, there are 5 cars, the sum would be 6. So that's the denominator, and then the numerator would be 1, since there's only 1 truck out of every 6 vehicles.

Answer:  D. 1/6
5 0
3 years ago
​​​​​​​PLEASE HELP :((((
sertanlavr [38]

88(3.7+4.3)-2*2.6

88(8)-2*2.6

704-2*2.6

704-5.2

698.8

I hope it helps!

Please mark Brainliest if it does!:-)

5 0
2 years ago
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