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Scorpion4ik [409]
3 years ago
12

For the love of God help me !! I'm desperate for it tomorrow

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0
D:5x-2>0 \wedge x>0 \wedge x-1>0\\D:5x>2 \wedge x>0 \wedge x>1\\D: x>\frac{2}{5} \wedge x>1\\D:x>1\\\log_2(5x-2)-\log_2x-\log_2(x-1)=2\\\log_2\frac{5x-2}{x(x-1)}=\log_24\\\frac{5x-2}{x(x-1)}=4\\4x(x-1)=5x-2\\4x^2-4x=5x-2\\4x^2-9x+2=0\\4x^2-x-8x+2=0\\x(4x-1)-2(4x-1)=0\\(x-2)(4x-1)=0\\x=2 \vee x=\frac{1}{4}\\\frac{1}{4}\not \in D \Rightarrow \boxed{x=2}
Flauer [41]3 years ago
5 0
\log_2(5x - 2) - \log_2 x - \log_2(x - 1) = 2
\log_2 ( \frac{5x - 2}{x(x-1)} ) = 2
\log_2 ( \frac{5x - 2}{x(x-1)} ) = \log_2 4
\frac{5x - 2}{x(x-1)} = 4
5x - 2 = 4x(x - 1)
5x - 2 = 4x^2 - 4x
0 = 4x^2 - 9x + 2
0 = (4x - 1)(x - 2)
\implies x = 2 \text{ or } x = \frac{1}{4}

By putting one quarter into the equation we can see that it cannot work in any way involving real numbers as \log_2 ( \frac{1}{4} - 1) would be log of a negative number, so x = 2.
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A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15
Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

3 0
2 years ago
A man bought a lot for 1200 and sold it for 1500. his percent of gain based on his purchase was
jok3333 [9.3K]

Answer: The percent gain was 25%.

Step-by-step explanation:

Given, Cost price of lot = $1,200

Selling price of lot = $1,500

The percent gain = \dfrac{\text{selling price- cost price}}{\text{cost price}}\times100

⇒ Percent gain =\dfrac{1500-1200}{1200}\times100\%

\Rightarrow\text{ Percent gain}=\dfrac{300}{1200}\times100\%\\\\\Rightarrow\text{ Percent gain}=\dfrac{1}{4}\times100\%\\\\\Rightarrow\text{ Percent gain}=25\%

Hence, the percent gain was 25% based on his purchase.

5 0
3 years ago
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horrorfan [7]

Answer:

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5 0
3 years ago
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suter [353]

Answer:

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Step-by-step explanation:

5 0
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